Artikel

Kaltenbacher, Manfred ; Gschwentner, Andreas ; Kaltenbacher, Barbara ; Ulbrich, Stefan ; Reinbacher-Köstinger, Alice (2024)
Inverse Scheme to Locally Determine Nonlinear Magnetic Material Properties: Numerical Case Study.
In: Mathematics, 12 (10)
doi: 10.3390/math12101586
Artikel, Bibliographie

Komann, Theodor ; Wiesheu, Michael ; Ulbrich, Stefan ; Schöps, Sebastian (2024)
Robust Design Optimization of Electric Machines with Isogeometric Analysis.
In: Mathematics, 12 (9)
doi: 10.3390/math12091299
Artikel, Bibliographie

Böhnlein, Tim ; Egert, Moritz (2024)
Explicit improvements for Lp‐estimates related to elliptic systems.
In: Bulletin of the London Mathematical Society, 56 (3)
doi: 10.1112/blms.12973
Artikel, Bibliographie

Raju, Suraj ; Braig, Felix ; Fricke, Mathis ; Gründing, Dirk ; Dörsam, Edgar ; Sauer, Hans Martin ; Bothe, Dieter (2024)
Imaging and simulation-based analysis of evaporation flows over wetting edges.
In: International Journal of Heat and Mass Transfer, 231
doi: 10.1016/j.ijheatmasstransfer.2024.125731
Artikel, Bibliographie

Kromer, Johannes ; Bothe, Dieter (2023)
Third-order accurate initialization of VOF volume fractions on unstructured meshes with arbitrary polyhedral cells.
In: Journal of Computational Physics, 475
doi: 10.1016/j.jcp.2022.111840
Artikel, Bibliographie

Bodziony, Francisco ; Wörner, Martin ; Marschall, Holger (2023)
The stressful way of droplets along single-fiber strands: A computational analysis.
In: Physics of Fluids, 35 (1)
doi: 10.1063/5.0131032
Artikel, Bibliographie

Bothe, Dieter ; Druet, Pierre-Étienne (2023)
On the structure of continuum thermodynamical diffusion fluxes— A novel closure scheme and its relation to the Maxwell–Stefan and the Fick–Onsager approach.
In: International Journal of Engineering Science, 184
doi: 10.1016/j.ijengsci.2023.103818
Artikel, Bibliographie

Brandt, Felix ; Hieber, Matthias (2023)
Strong periodic solutions to quasilinear parabolic equations: An approach by the Da Prato–Grisvard theorem.
In: Bulletin of the London Mathematical Society, 55 (4)
doi: 10.1112/blms.12831
Artikel, Bibliographie

Bothe, Dieter ; Dreyer, Wolfgang ; Druet, Pierre‐Etienne (2023)
Multicomponent incompressible fluids — An asymptotic study.
In: ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 103 (7)
doi: 10.1002/zamm.202100174
Artikel, Bibliographie

Jakob, Konstantin (2023)
Wildly ramified rigid G₂‐local systems.
In: Bulletin of the London Mathematical Society, 55 (5)
doi: 10.1112/blms.12881
Artikel, Bibliographie

Bachtler, Oliver ; Heinrich, Irene (2023)
Automated testing and interactive construction of unavoidable sets for graph classes of small path‐width.
In: Journal of Graph Theory, 104 (2)
doi: 10.1002/jgt.22964
Artikel, Bibliographie

Herrmann, Christian (2022)
On the complexity of equational decision problems for finite height complemented and orthocomplemented modular lattices.
In: Algebra universalis, 83 (1)
doi: 10.1007/s00012-021-00760-3
Artikel, Bibliographie

Marschall, Holger (2022)
Preface to the computational fluid dynamics for chemical and process engineering special issue section.
In: The Canadian Journal of Chemical Engineering, 100 (12)
doi: 10.1002/cjce.24618
Artikel, Bibliographie

Bruinier, Jan Hendrik ; Zemel, Shaul (2022)
Special cycles on toroidal compactifications of orthogonal Shimura varieties.
In: Mathematische Annalen, 384 (1-2)
doi: 10.1007/s00208-021-02271-x
Artikel, Bibliographie

Bothe, Dieter (2022)
Sharp-interface continuum thermodynamics of multicomponent fluid systems with interfacial mass.
In: International Journal of Engineering Science, 179
doi: 10.1016/j.ijengsci.2022.103731
Artikel, Bibliographie

Grimm, Veronika ; Nowak, Daniel ; Schewe, Lars ; Schmidt, Martin ; Schwartz, Alexandra ; Zöttl, Gregor (2022)
A tractable multi-leader multi-follower peak-load-pricing model with strategic interaction.
In: Mathematical Programming: Series A, Series B, 195 (1-2)
doi: 10.1007/s10107-021-01708-0
Artikel, Bibliographie

Bagheri, Milad ; Stumpf, Bastian ; Roisman, Ilia V. ; Dadvand, Abdolrahman ; Wörner, Martin ; Marschall, Holger (2022)
A unified finite volume framework for phase-field simulations of an arbitrary number of fluid phases.
In: The Canadian Journal of Chemical Engineering, 100 (9)
doi: 10.1002/cjce.24510
Artikel, Bibliographie

Schuster, Michael ; Strauch, Elisa ; Gugat, Martin ; Lang, Jens (2022)
Probabilistic constrained optimization on flow networks.
In: Optimization and Engineering, 23 (2)
doi: 10.1007/s11081-021-09619-x
Artikel, Bibliographie

Schmidt, Martin ; Sirvent, Mathias ; Wollner, Winnifried (2022)
The cost of not knowing enough: mixed-integer optimization with implicit Lipschitz nonlinearities.
In: Optimization Letters, 16 (5)
doi: 10.1007/s11590-021-01827-9
Artikel, Bibliographie

Pischke, Nicholas ; Kohlenbach, Ulrich (2022)
Quantitative analysis of a subgradient-type method for equilibrium problems.
In: Numerical Algorithms, 90 (1)
doi: 10.1007/s11075-021-01184-9
Artikel, Bibliographie

Bagheri, Milad ; Stumpf, Bastian ; Roisman, Ilia V. ; Tropea, Cameron ; Hussong, Jeanette ; Wörner, Martin ; Marschall, Holger (2022)
Interfacial relaxation - Crucial for phase-field methods to capture low to high energy drop-film impacts.
In: International Journal of Heat and Fluid Flow, 94
doi: 10.1016/j.ijheatfluidflow.2022.108943
Artikel, Bibliographie

Hansmann, Matthias ; Horn, Benjamin M. ; Kohler, Michael ; Ulbrich, Stefan (2022)
Estimation of conditional distribution functions from data with additional errors applied to shape optimization.
In: Metrika, 85 (3)
doi: 10.1007/s00184-021-00831-4
Artikel, Bibliographie

Wang, Shuo ; Rohlfs, Patrick ; Börnhorst, Marion ; Schillaci, Andrea ; Marschall, Holger ; Deutschmann, Olaf ; Wörner, Martin (2022)
Bubble Cutting by Cylinder - Elimination of Wettability Effects by a Separating Liquid Film.
In: Chemie Ingenieur Technik, 94 (3)
doi: 10.1002/cite.202100145
Artikel, Bibliographie

Pfetsch, Marc E. ; Rinaldi, Giovanni ; Ventura, Paolo (2022)
Optimal patchings for consecutive ones matrices.
In: Mathematical Programming Computation, 14 (1)
doi: 10.1007/s12532-021-00203-z
Artikel, Bibliographie

Klimm, Max ; Pfetsch, Marc E. ; Raber, Rico ; Skutella, Martin (2022)
Packing under convex quadratic constraints.
In: Mathematical Programming: Series A, Series B, 192 (1-2)
doi: 10.1007/s10107-021-01675-6
Artikel, Bibliographie

Kohlenbach, Ulrich (2022)
On the proximal point algorithm and its Halpern-type variant for generalized monotone operators in Hilbert space.
In: Optimization Letters, 16 (2)
doi: 10.1007/s11590-021-01738-9
Artikel, Bibliographie

Kliewe, Philipp ; Laurain, Antoine ; Schmidt, Kersten (2022)
Shape optimization in acoustic–structure interaction.
In: Engineering Computations, 39 (1)
doi: 10.1108/EC-07-2021-0379
Artikel, Bibliographie

Jorkowski, Philipp ; Schmidt, Kersten ; Schenker, Carla ; Grubišić, Luka ; Schuhmann, Rolf (2022)
Adapted Contour Integration for Nonlinear Eigenvalue Problems in Waveguide Coupled Resonators.
In: IEEE Transactions on Antennas and Propagation, 70 (1)
doi: 10.1109/TAP.2021.3111413
Artikel, Bibliographie

Schmidt, Kersten ; Thöns-Zueva, Anastasia (2022)
Impedance boundary conditions for acoustic time harmonic wave propagation in viscous gases in two dimensions.
In: Mathematical Methods in the Applied Sciences, 45 (12)
doi: 10.1002/mma.8249
Artikel, Bibliographie

Ljulj, Matko ; Schmidt, Kersten ; Semin, Adrien ; Tambača, Josip (2022)
Homogenization of the time-dependent heat equation on planar one-dimensional periodic structures.
In: Applicable Analysis, 101 (12)
doi: 10.1080/00036811.2022.2078713
Artikel, Bibliographie

Diehl, Elisabeth ; Haubner, Johannes ; Ulbrich, Michael ; Ulbrich, Stefan (2022)
Differentiability results and sensitivity calculation for optimal control of incompressible two-phase Navier-Stokes equations with surface tension.
In: Computational Optimization and Applications
doi: 10.1007/s10589-022-00415-6
Artikel, Bibliographie

Manns, Paul ; Ulbrich, Stefan (2022)
A Simplified Newton Method to Generate Snapshots for POD Models of Semilinear Optimal Control Problems.
In: SIAM Journal on Numerical Analysis, 60 (5)
doi: 10.1137/21M1439821
Artikel, Bibliographie

Lang, Jens ; Schmitt, Bernhard A. (2022)
Implicit A-Stable Peer Triplets for ODE Constrained Optimal Control Problems.
In: Algorithms, 15 (9)
doi: 10.3390/a15090310
Artikel, Bibliographie

Shashkov, Vsevolod ; Cortes Garcia, Idoia ; Egger, Herbert (2022)
MONA - A magnetic oriented nodal analysis for electric circuits.
In: International Journal of Circuit Theory and Applications, 50 (9)
doi: 10.1002/cta.3301
Artikel, Bibliographie

Raju, Suraj ; Gründing, Dirk ; Marić, Tomislav ; Bothe, Dieter ; Fricke, Mathis (2022)
Computing hydrodynamic eigenmodes of channel flow with slip — A highly accurate algorithm.
In: The Canadian Journal of Chemical Engineering, 100 (12)
doi: 10.1002/cjce.24598
Artikel, Bibliographie

Samkhaniani, Nima ; Marschall, Holger ; Stroh, Alexander ; Frohnapfel, Bettina ; Wörner, Martin (2021)
Numerical simulation of drop impingement and bouncing on a heated hydrophobic surface.
In: Journal of Physics: Conference Series, 2116
doi: 10.1088/1742-6596/2116/1/012073
Artikel, Bibliographie

Samkhaniani, N. ; Stroh, A. ; Holzinger, M. ; Marschall, H. ; Frohnapfel, B. ; Wörner, M. (2021)
Bouncing drop impingement on heated hydrophobic surfaces.
In: International Journal of Heat and Mass Transfer, 180
doi: 10.1016/j.ijheatmasstransfer.2021.121777
Artikel, Bibliographie

Kohlenbach, Ulrich (2021)
Proof-theoretic uniform boundedness and bounded collection principles and countable Heine–Borel compactness.
In: Archive for Mathematical Logic, 60 (7-8)
doi: 10.1007/s00153-021-00771-w
Artikel, Bibliographie

Burczak, Jan ; Modena, Stefano ; Székelyhidi, László (2021)
Non Uniqueness of Power-Law Flows.
In: Communications in Mathematical Physics, 388 (1)
doi: 10.1007/s00220-021-04231-7
Artikel, Bibliographie

Dölz, J. ; Egger, H. ; Shashkov, V. (2021)
A fast and oblivious matrix compression algorithm for Volterra integral operators.
In: Advances in Computational Mathematics, 47 (6)
doi: 10.1007/s10444-021-09902-6
Artikel, Bibliographie

Schröder, Jörg ; Wick, Thomas ; Reese, Stefanie ; Wriggers, Peter ; Müller, Ralf ; Kollmannsberger, Stefan ; Kästner, Markus ; Schwarz, Alexander ; Igelbüscher, Maximilian ; Viebahn, Nils ; Bayat, Hamid Reza ; Wulfinghoff, Stephan ; Mang, Katrin ; Rank, Ernst ; Bog, Tino ; D’Angella, Davide ; Elhaddad, Mohamed ; Hennig, Paul ; Düster, Alexander ; Garhuom, Wadhah ; Hubrich, Simeon ; Walloth, Mirjam ; Wollner, Winnifried ; Kuhn, Charlotte ; Heister, Timo (2021)
A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics.
In: Archives of Computational Methods in Engineering, 28 (2)
doi: 10.1007/s11831-020-09477-3
Artikel, Bibliographie

Steinbach, Philipp ; Schulte, Daniel Otto ; Welsch, Bastian ; Sass, Ingo ; Lang, Jens (2021)
Quantification of bore path uncertainty in borehole heat exchanger arrays using adaptive anisotropic stochastic collocation.
In: Geothermics, 97
doi: 10.1016/j.geothermics.2021.102194
Artikel, Bibliographie

Bruinier, Jan Hendrik ; Ehlen, Stephan ; Yang, Tonghai (2021)
CM values of higher automorphic Green functions for orthogonal groups.
In: Inventiones mathematicae, 225 (3)
doi: 10.1007/s00222-021-01038-0
Artikel, Bibliographie

Kirches, Christian ; Manns, Paul ; Ulbrich, Stefan (2021)
Compactness and convergence rates in the combinatorial integral approximation decomposition.
In: Mathematical Programming: Series A, Series B, 188 (2)
doi: 10.1007/s10107-020-01598-8
Artikel, Bibliographie

Wörner, Martin ; Samkhaniani, Nima ; Cai, Xuan ; Wu, Yanchen ; Majumdar, Arijit ; Marschall, Holger ; Frohnapfel, Bettina ; Deutschmann, Olaf (2021)
Spreading and rebound dynamics of sub-millimetre urea-water-solution droplets impinging on substrates of varying wettability.
In: Applied Mathematical Modelling, 95
doi: 10.1016/J.APM.2021.01.038
Artikel, Bibliographie

Gugat, Martin ; Giesselmann, Jan (2021)
Boundary feedback stabilization of a semilinear model for the flow in star-shaped gas networks.
In: ESAIM: Control, Optimisation and Calculus of Variations, 27
doi: 10.1051/cocv/2021061
Artikel, Bibliographie

Dedner, Andreas ; Giesselmann, Jan ; Pryer, Tristan ; Ryan, Jennifer K. (2021)
Residual estimates for post-processors in elliptic problems.
In: Journal of Scientific Computing, 88 (2)
doi: 10.1007/s10915-021-01502-2
Artikel, Bibliographie

Dadvand, Abdolrahman ; Bagheri, Milad ; Samkhaniani, Nima ; Marschall, Holger ; Wörner, Martin (2021)
Advected phase-field method for bounded solution of the Cahn–Hilliard Navier-Stokes equations.
In: Physics of Fluids, 33 (5)
doi: 10.1063/5.0048614
Artikel, Bibliographie

Giesselmann, Jan ; Meyer, Fabian ; Rohde, Christian (2021)
Error control for statistical solutions of hyperbolic systems of conservation laws.
In: Calcolo, 58 (2)
doi: 10.1007/s10092-021-00417-6
Artikel, Bibliographie

Augner, Björn ; Bothe, Dieter (2021)
Analysis of some heterogeneous catalysis models with fast sorption and fast surface chemistry.
In: Journal of Evolution Equations, 21 (3)
doi: 10.1007/s00028-021-00692-4
Artikel, Bibliographie

Bruinier, Jan Hendrik ; Schwagenscheidt, Markus (2021)
Theta lifts for Lorentzian lattices and coefficients of mock theta functions.
In: Mathematische Zeitschrift, 297 (3-4)
doi: 10.1007/s00209-020-02572-y
Artikel, Bibliographie

Gally, Tristan ; Groche, Peter ; Hoppe, Florian ; Kuttich, Anja ; Matei, Alexander ; Pfetsch, Marc E. ; Rakowitsch, Martin ; Ulbrich, Stefan (2021)
Identification of model uncertainty via optimal design of experiments applied to a mechanical press.
In: Optimization and Engineering, 23 (1)
doi: 10.1007/s11081-021-09600-8
Artikel, Bibliographie

Fickel, Beatrice ; Postulka, Niels ; Hartmann, Maximilian ; Gründing, Dirk M. ; Nau, Maximilian ; Meckel, Tobias ; Biesalski, Markus (2021)
Changes of meniscus shapes and capillary rise heights under hypergravity.
In: Colloids and Surfaces A: Physicochemical and Engineering Aspects, 610
doi: 10.1016/j.colsurfa.2020.125688
Artikel, Bibliographie

Augner, Björn ; Bothe, Dieter (2021)
The fast-sorption and fast-surface-reaction limit of a heterogeneous catalysis model.
In: Discrete and Continuous Dynamical Systems - Series S (DCDS-S), 14 (2)
doi: 10.3934/dcdss.2020406
Artikel, Bibliographie

Kohler, Michael ; Krzyzak, Adam (2021)
Estimation of a density using an improved surrogate model.
In: Electronic Journal of Statistics, 15 (1)
doi: 10.1214/20-EJS1774
Artikel, Bibliographie

Meburger, Stefanie ; Niethammer, Matthias ; Bothe, Dieter ; Schäfer, Michael (2021)
Numerical simulation of non-isothermal viscoelastic flows at high Weissenberg numbers using a finite volume method on general unstructured meshes.
In: Journal of Non-Newtonian Fluid Mechanics, 287
doi: 10.1016/j.jnnfm.2020.104451
Artikel, Bibliographie

Schmitt, Johann M. ; Ulbrich, Stefan (2021)
Optimal Boundary Control of Hyperbolic Balance Laws with State Constraints.
In: SIAM Journal on Control and Optimization, 59 (2)
doi: 10.1137/19M129797X
Artikel, Bibliographie

Egger, Herbert ; Schmidt, Kersten ; Shashkov, Vsevelod (2021)
Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems.
In: Journal of Computational and Applied Mathematics, 387
doi: 10.1016/j.cam.2019.112618
Artikel, Bibliographie

Egger, Herbert ; Philippi, Nora (2021)
On the transport limit of singularly perturbed convection–diffusion problems on networks.
In: Mathematical Methods in the Applied Sciences, 44 (6)
doi: 10.1002/mma.7084
Artikel, Bibliographie

Habeck, Oliver ; Pfetsch, Marc E. (2021)
Combinatorial acyclicity models for potential‐based flows.
In: Networks, 79 (1)
doi: 10.1002/net.22038
Artikel, Bibliographie

Minbashian, Hadi ; Giesselmann, Jan (2021)
Deep Learning for Hyperbolic Conservation Laws with Non‐convex Flux.
In: PAMM - Proceedings in Applied Mathematics and Mechanics, 20 (S1)
doi: 10.1002/pamm.202000347
Artikel, Bibliographie

Spiller, Dominic ; Brunk, Aaron ; Habrich, Oliver ; Egger, Herbert ; Lukáčová-Medvid’ová, Mária ; Dünweg, Burkhard (2021)
Systematic derivation of hydrodynamic equations for viscoelastic phase separation.
In: Journal of Physics: Condensed Matter, 33 (36)
doi: 10.1088/1361-648X/ac0d17
Artikel, Bibliographie

Brunk, Aaron ; Dünweg, Burkhard ; Egger, Herbert ; Habrich, Oliver ; Lukáčová-Medvid'ová, Mária ; Spiller, Dominic (2021)
Analysis of a viscoelastic phase separation model.
In: Journal of Physics: Condensed Matter, 33 (23)
doi: 10.1088/1361-648X/abeb13
Artikel, Bibliographie

Aurzada, Frank ; Betz, Volker ; Lifshits, Mikhail (2021)
Universal break law for a class of models of polymer rupture.
In: Journal of Physics A: Mathematical and Theoretical, 54 (30)
doi: 10.1088/1751-8121/ac0bcd
Artikel, Bibliographie

Egger, Herbert ; Teschner, Gabriel (2021)
On the stable estimation of flow geometry and wall shear stress from magnetic resonance images.
In: Inverse Problems, 35 (9)
doi: 10.1088/1361-6420/ab23d5
Artikel, Bibliographie

Ullmann, Sebastian ; Müller, Christopher ; Lang, Jens (2021)
Stochastic Galerkin Reduced Basis Methods for Parametrized Linear Convection−Diffusion−Reaction Equations.
In: Fluids, 6 (8)
doi: 10.3390/fluids6080263
Artikel, Bibliographie

Binz, Tim (2021)
Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds.
In: Semigroup Forum, 103 (1)
doi: 10.1007/s00233-021-10192-z
Artikel, Bibliographie

Reif, Ulrich ; Weinmann, Andreas (2021)
Clothoid fitting and geometric Hermite subdivision.
In: Advances in Computational Mathematics, 47 (4)
doi: 10.1007/s10444-021-09876-5
Artikel, Bibliographie

Bechtel, Sebastian (2021)
The extension problem for fractional Sobolev spaces with a partial vanishing trace condition.
In: Archiv der Mathematik, 117 (1)
doi: 10.1007/s00013-021-01594-0
Artikel, Bibliographie

Richarz, Timo ; Scholbach, Jakob (2021)
Tate motives on Witt vector affine flag varieties.
In: Selecta Mathematica, 27 (3)
doi: 10.1007/s00029-021-00665-y
Artikel, Bibliographie

Bothe, Dieter ; Druet, Pierre-Etienne (2021)
Well-posedness analysis of multicomponent incompressible flow models.
In: Journal of Evolution Equations, 21 (4)
doi: 10.1007/s00028-021-00712-3
Artikel, Bibliographie

Giga, Yoshikazu ; Gries, Mathis ; Hieber, Matthias ; Hussein, Amru ; Kashiwabara, Takahito (2021)
The primitive equations in the scaling-invariant space L∞(L1).
In: Journal of Evolution Equations, 21 (4)
doi: 10.1007/s00028-021-00716-z
Artikel, Bibliographie

Weiner, Andre ; Gründing, Dirk ; Bothe, Dieter (2020)
Computing Mass Transfer at Deformable Bubbles for High Schmidt Numbers.
In: Chemie Ingenieur Technik
doi: 10.1002/cite.202000214
Artikel, Bibliographie

Augner, Björn (2020)
Uniform Exponential Stabilisation of Serially Connected Inhomogeneous Euler-Bernoulli Beams.
In: ESAIM: Control, Optimisation and Calculus of Variations, 26
doi: 10.1051/cocv/2020036
Artikel, Bibliographie

Mohammadi, Masoumeh ; Wollner, Winnifried (2020)
A Priori Error Estimates for a Linearized Fracture Control Problem.
In: Optimization and Engineering
doi: 10.1007/s11081-020-09574-z
Artikel, Bibliographie

Marić, Tomislav ; Kothe, Douglas B. ; Bothe, Dieter (2020)
Unstructured un-split geometrical Volume-of-Fluid methods – A review.
In: Journal of Computational Physics, 420
doi: 10.1016/j.jcp.2020.109695
Artikel, Bibliographie

Augner, Björn ; Laasri, Hafida (2020)
Exponential stability for infinite-dimensional non-autonomous port-Hamiltonian Systems.
In: Systems and Control Letters, 144
doi: 10.1016/j.sysconle.2020.104757
Artikel, Bibliographie

Gründing, Dirk ; Smuda, Martin ; Antritter, Thomas ; Fricke, Mathis ; Rettenmaier, Daniel ; Kummer, Florian ; Stephan, Peter ; Marschall, Holger ; Bothe, Dieter (2020)
A comparative study of transient capillary rise using direct numerical simulations.
In: Applied Mathematical Modelling, 86
doi: 10.1016/j.apm.2020.04.020
Artikel, Bibliographie

Fricke, Mathis ; Bothe, Dieter (2020)
Boundary conditions for dynamic wetting - A mathematical analysis.
In: The European Physical Journal Special Topics, 229 (10)
doi: 10.1140/epjst/e2020-900249-7
Artikel, Bibliographie

Bothe, Dieter (2020)
Reflections on the article “Moving contact lines and dynamic contact angles: a ‘litmus test’ for mathematical models and some new challenges” by Yulii D. Shikhmurzaev.
In: The European Physical Journal Special Topics, 229 (10)
doi: 10.1140/epjst/e2020-000149-6
Artikel, Bibliographie

Bothe, Dieter (2020)
On moving hypersurfaces and the discontinuous ODE-system associated with two-phase flows.
In: Nonlinearity, 33 (10)
doi: 10.1088/1361-6544/ab987d
Artikel, Bibliographie

Sun, Zhen ; Braack, Malte ; Lang, Jens (2020)
An adaptive moving finite element method for steady low Mach number compressible combustion problems.
In: International Journal for Numerical Methods in Fluids, 92 (9)
doi: 10.1002/fld.4818
Artikel, Bibliographie

Beale, Steven B. ; Andersson, Martin ; Weber, Norbert ; Marschall, Holger ; Lehnert, Werner (2020)
Combined Two-phase Co-flow and Counter-flow in a Gas Channel/Porous Transport Layer Assembly.
In: ECS Transactions, 98 (9)
doi: 10.1149/09809.0305ecst
Artikel, Bibliographie

Giga, Yoshikazu ; Gries, Mathis ; Hieber, Matthias ; Hussein, Amru ; Kashiwabara, Takahito (2020)
The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions.
In: Journal of Functional Analysis, 279 (3)
doi: 10.1016/j.jfa.2020.108561
Artikel, Bibliographie

Birx, Alexander ; Disser, Yann (2020)
Tight Analysis of the Smartstart Algorithm for Online Dial-a-Ride on the Line.
In: SIAM Journal on Discrete Mathematics, 34 (2)
doi: 10.1137/19M1268513
Artikel, Bibliographie

Hieber, Matthias ; Kozono, Hideo ; Seyfert, Anton ; Shimizu, Senjo ; Yanagisawa, Taku (2020)
The Helmholtz–Weyl decomposition of Lr vector fields for two dimensional exterior domains.
In: The Journal of Geometric Analysis, 2020
doi: 10.1007/s12220-020-00473-4
Artikel, Bibliographie

Hieber, Matthias ; Stinner, Christian (2020)
Strong time periodic solutions to Keller-Segel systems: An approach by the quasilinear Arendt-Bu theorem.
In: Journal of Differential Equations, 269 (2)
doi: 10.1016/j.jde.2020.01.020
Artikel, Bibliographie

Brenner, S. C. ; Sung, L.-Y. ; Wollner, W. (2020)
A One Dimensional Elliptic Distributed Optimal Control Problem with Pointwise Derivative Constraints.
In: Numerical Functional Analysis and Optimization, 41 (13)
doi: 10.1080/01630563.2020.1785495
Artikel, Bibliographie

Aurzada, Frank ; Buck, Micha (2020)
Ruin probabilities in the Cramér–Lundberg model with temporarily negative capital.
In: European Actuarial Journal, 10 (1)
doi: 10.1007/s13385-020-00223-4
Artikel, Bibliographie

Fricke, Mathis ; Marić, Tomislav ; Bothe, Dieter (2020)
Contact line advection using the geometrical Volume-of-Fluid method.
In: Journal of Computational Physics, 407
doi: 10.1016/j.jcp.2019.109221
Artikel, Bibliographie

Wick, T. ; Wollner, W. (2020)
Optimization with nonstationary, nonlinear monolithic fluid-structure interaction.
In: International Journal for Numerical Methods in Engineering
doi: 10.1002/nme.6372
Artikel, Bibliographie

Meyer, Fabian ; Rohde, Christian ; Giesselmann, Jan (2020)
A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method.
In: IMA Journal of Numerical Analysis, 40 (2)
doi: 10.1093/imanum/drz004
Artikel, Bibliographie

Yang, Yangyiwei ; Kühn, Patrick ; Yi, Min ; Egger, Herbert ; Xu, Bai-Xiang (2020)
Non-isothermal Phase-Field Modeling of Heat–Melt–Microstructure-Coupled Processes During Powder Bed Fusion.
In: JOM : The Journal of The Minerals, Metals & Materials Society (TMS), 72 (4)
doi: 10.1007/s11837-019-03982-y
Artikel, Bibliographie

Tolle, T. ; Bothe, D. ; Marić, T. (2020)
SAAMPLE: A Segregated Accuracy-driven Algorithm for Multiphase Pressure-Linked Equations.
In: Computers & Fluids, 200
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Bärtschi, Andreas ; Chalopin, Jeremie ; Das, Shantanu ; Disser, Yann ; Geissmann, Barbara ; Graf, Daniel ; Labourel, Arnaud ; Mihalák, Matus (2020)
Collaborative Delivery with Energy-Constrained Mobile Robots.
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Burggraf, Timo ; Joswig, Michael ; Pfetsch, Marc E. ; Ulbrich, Stefan (2020)
Semi-automatically optimized calibration of internal combustion engines.
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Hori, Yohei ; Bothe, Dieter ; Hayashi, Kosuke ; Hosokawa, Shigeo ; Tomiyama, Akio (2020)
Mass transfer from single carbon-dioxide bubbles in surfactant-electrolyte mixed aqueous solutions in vertical pipes.
In: International Journal of Multiphase Flow, 124
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Hieber, Matthias ; Kajiwara, Naoto ; Kress, Klaus ; Tolksdorf, Patrick (2020)
The periodic version of the Da Prato–Grisvard theorem and applications to the bidomain equations with FitzHugh–Nagumo transport.
In: Annali di Matematica Pura ed Applicata, 199 (6)
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Mang, Katrin ; Walloth, Mirjam ; Wick, Thomas ; Wollner, Winnifried (2020)
Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator.
In: GAMM Mitteilungen, 43 (1)
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Götz, Benedict ; Kersting, Sebastian ; Kohler, Michael (2020)
Estimation of an improved surrogate model in uncertainty quantification by neural networks.
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Brenner, S. C. ; Sung, L.-Y. ; Wollner, W. (2020)
Finite element methods for one dimensional elliptic distributed optimal control problems with pointwise constraints on the derivative of the state.
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Kohler, Michael ; Krzyzak, Adam (2020)
Estimating quantiles in imperfect simulation models using conditional density estimation.
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Giesselmann, Jan ; LeFloch, Philippe G. (2020)
Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary.
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Yang, Yangyiwei ; Kühn, Patrick ; Yi, Min ; Egger, Herbert ; Xu, Bai-Xiang (2020)
Non-isothermal phase-field modeling of heat-melt-microstructure-coupled processes during powder bed fusion.
In: JOM, 72
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Mang, Katrin ; Wick, Thomas ; Wollner, Winnifried (2020)
A Phase-Field Model for Fractures in Incompressible Solids.
In: Computational Mechanics, 65 (1)
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Giesselmann, Jan ; Meyer, Fabian ; Rohde, Christian (2020)
A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws.
In: BIT Numerical Mathematics, 60
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Sarna, Neeraj ; Giesselmann, Jan ; Torrilhon, Manuel (2020)
Convergence Analysis of Grad's Hermite Expansion for Linear Kinetic Equations.
In: Siam Journal on Numerical Analysis, 58 (2)
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Endtmayer, B. ; Langer, U. ; Neitzel, I. ; Wick, T. ; Wollner, W. (2020)
Multigoal-oriented optimal control problems with nonlinear PDE constraints.
In: Computers & Mathematics with Applications, 79 (10)
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Geiersbach, C. ; Wollner, W. (2020)
A Stochastic Gradient Method with Mesh Refinement for PDE Constrained Optimization under Uncertainty.
In: SIAM Journal on Scientific Computing, 42 (5)
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Freund, Anton (2020)
A note on ordinal exponentiation and derivatives of normal functions.
In: Mathematical Logic Quarterly, 66 (3)
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Powell, Thomas (2020)
A note on the finitization of Abelian and Tauberian theorems.
In: Mathematical Logic Quarterly, 66 (3)
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Celik, Aday ; Kyed, Mads (2020)
Time‐periodic Stokes equations with inhomogeneous Dirichlet boundary conditions in a half‐space.
In: Mathematical Methods in the Applied Sciences, 43 (5)
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Freund, Anton (2020)
What is effective transfinite recursion in reverse mathematics?
In: Mathematical Logic Quarterly, 66 (4)
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Weber, Marie-Christin ; Fischer, Lisa ; Damerau, Alexandra ; Ponomarev, Igor ; Pfeiffenberger, Moritz ; Gaber, Timo ; Götschel, Sebastian ; Lang, Jens ; Röblitz, Susanna ; Buttgereit, Frank ; Ehrig, Rainald ; Lang, Annemarie (2020)
Macroscale mesenchymal condensation to study cytokine-driven cellular and matrix-related changes during cartilage degradation.
In: Biofabrication, 12 (4)
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Farwig, Reinhard ; Kanamaru, Ryo (2020)
Optimality of Serrin type extension criteria to the Navier-Stokes equations.
In: Advances in Nonlinear Analysis, 10 (1)
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Gaspoz, F. ; Kreuzer, C. ; Veeser, A. ; Wollner, W. (2019)
Quasi-best approximation in optimization with PDE constraints.
In: Inverse Problems, 36 (1)
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Giga, Yoshikazu ; Gries, Mathis ; Hieber, Matthias ; Hussein, Amru ; Kashiwabara, Takahito (2019)
Analyticity of solutions to the primitive equations.
In: Mathematische Nachrichten, 2020
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Haubner, Johannes ; Ulbrich, Michael ; Ulbrich, Stefan (2019)
Analysis of shape optimization problems for unsteady fluid-structure interaction.
In: Inverse Problems, 2019
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Fricke, Mathis ; Maric, T. ; Bothe, D. (2019)
Contact line advection using the Level Set method.
In: Proceedings in Applied Mathematics and Mechanics, 19 (1)
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Gründing, Dirk ; Fricke, Mathis ; Bothe, Dieter (2019)
Capillary Rise ‐ Jurin's Height vs Spherical Cap.
In: PAMM, 19 (1)
doi: 10.1002/pamm.201900336
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Schmidt, M. ; Sirvent, M. ; Wollner, W. (2019)
A Decomposition Method for MINLPs with Lipschitz Continuous Nonlinearities.
In: Mathematical Programming, 178 (1-2)
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Kromer, Johannes Richard ; Bothe, Dieter (2019)
Highly accurate computation of volume fractions using differential geometry.
In: Journal of Computational Physics, 396
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Hill, Simon ; Acher, Thomas ; Hoffmann, Rainer ; Ferstl, Johann ; Deising, Daniel ; Marschall, Holger ; Rehfeldt, Sebastian ; Klein, Harald (2019)
Quantifizierung der Trenneffizienz einer strukturierten Packung mittels numerischer Simulation.
In: Chemie Ingenieur Technik
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Beckers, S. ; Behrens, J. ; Wollner, W. (2019)
Duality based error estimation in the presence of discontinuities.
In: Applied Numerical Mathemathics, 144
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Hojny, Christopher ; Gally, Tristan ; Habeck, Oliver ; Lüthen, Hendrik ; Matter, Frederic ; Pfetsch, Marc E. ; Schmitt, Andreas (2019)
Knapsack polytopes: a survey.
In: Annals of Operations Research
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Gräßle, Carmen ; Hinze, Michael ; Lang, Jens ; Ullmann, Sebastian (2019)
POD model order reduction with space-adapted snapshots for incompressible flows.
In: Advances in Computational Mathematics, 45
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Wick, T. ; Wollner, W. (2019)
On the Differentiability of Stationary Fluid-Structure Interaction Problems with Respect to the Problem Data.
In: Journal of Mathematical Fluid Mechanics, 21 (3)
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Kohler, Michael ; Tent, Reinhard (2019)
Nonparametric quantile estimation using surrogate models and importance sampling.
In: Metrika: international journal for theoretical and applied statistics
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Haller-Dintelmann, R. ; Meinlschmidt, H. ; Wollner, W. (2019)
Higher regularity for solutions to elliptic systems in divergence form subject to mixed boundary conditions.
In: Annali di Matematica Pura ed Applicata, 198 (4)
doi: 10.1007/s10231-018-0818-9
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Rettenmaier, Daniel ; Deising, Daniel ; Ouedraogo, Yun ; Gjonaj, Erion ; De Gersem, Herbert ; Bothe, Dieter ; Tropea, Cameron ; Marschall, Holger (2019)
Load balanced 2D and 3D adaptive mesh refinement in OpenFOAM.
In: SoftwareX, 10
doi: 10.1016/j.softx.2019.100317
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Stark, Tobias ; Kiedrowski, Thomas ; Marschall, Holger ; Lasagni, Andrés Fabián (2019)
Avoiding Starvation in Tribocontact Through Active Lubricant Transport in Laser Textured Surfaces.
In: Lubricants, 7 (6)
doi: 10.3390/lubricants7060054
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Altherr, Lena C. ; Leise, Philipp ; Pfetsch, Marc E. ; Schmitt, Andreas (2019)
Resilient layout, design and operation of energy-efficient water distribution networks for high-rise buildings using MINLP.
In: Optimization and Engineering, 20 (2)
doi: 10.1007/s11081-019-09423-8
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Joly, Patrick ; Kachanovska, Maryna ; Semin, Adrien (2019)
Wave propagation in fractal trees. Mathematical and numerical issues.
In: Networks and Heterogeneous Media, 14 (2)
doi: 10.3934/nhm.2019010
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Bauer, Benedikt ; Kohler, Michael (2019)
On deep learning as a remedy for the curse of dimensionality in nonparametric regression.
In: The Annals of Statistics, 47 (4)
doi: 10.1214/18-AOS1747
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Weiner, Andre ; Hillenbrand, Dennis ; Marschall, Holger ; Bothe, Dieter (2019)
Data‐Driven Subgrid‐Scale Modeling for Convection‐Dominated Concentration Boundary Layers.
In: Chemical Engineering & Technology, 42 (7)
doi: 10.1002/ceat.201900044
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Jamshidi, F. ; Heimel, H. ; Hasert, M. ; Cai, X. ; Deutschmann, O. ; Marschall, H. ; Wörner, M. (2019)
On suitability of phase-field and algebraic volume-of-fluid OpenFOAM® solvers for gas–liquid microfluidic applications.
In: Computer Physics Communications, 236
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Liu, M. ; Bothe, D. (2019)
Toward the predictive simulation of bouncing versus coalescence in binary droplet collisions.
In: Acta Mechanica, 230 (2)
doi: 10.1007/s00707-018-2290-4
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Kohler, Michael ; Krzyzak, Adam (2019)
Estimation of extreme quantiles in a simulation model.
In: Journal of Nonparametric Statistics, 31 (2)
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Alla, Alessandro ; Hinze, Michael ; Kolvenbach, Philip ; Lass, Oliver ; Ulbrich, Stefan (2019)
A certified model reduction approach for robust parameter optimization with PDE constraints.
In: Advances in Computational Mathematics
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Heimrich, Felix ; Kohler, Michael ; Kristl, Lisa (2019)
Nonparametric estimation of time-dependent quantiles in a simulation model.
In: Statistica Sinica, 30
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Hieber, Matthias ; Mahalov, Alex ; Takada, Ryo (2019)
Time periodic and almost time periodic solutions to rotating stratified fluids subject to large forces.
In: Journal of Differential Equations, 266 (2-3)
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Fricke, Mathis ; Köhne, Matthias ; Bothe, Dieter (2019)
A kinematic evolution equation for the dynamic contact angle and some consequences.
In: Physica D: Nonlinear Phenomena
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Niethammer, Matthias ; Marschall, Holger ; Bothe, Dieter (2019)
Robust Direct Numerical Simulation of Viscoelastic Flows.
In: Chemie Ingenieur Technik, 91 (4)
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Niethammer, Matthias ; Brenn, Günter ; Marschall, Holger ; Bothe, Dieter (2019)
An extended volume of fluid method and its application to single bubbles rising in a viscoelastic liquid.
In: Journal of Computational Physics, 387
doi: 10.1016/j.jcp.2019.02.021
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Souček, Ondřej ; Orava, Vít ; Málek, Josef ; Bothe, Dieter (2019)
A continuum model of heterogeneous catalysis: Thermodynamic framework for multicomponent bulk and surface phenomena coupled by sorption.
In: International Journal of Engineering Science, 138
doi: 10.1016/j.ijengsci.2019.01.001
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Müller, Christopher ; Ullmann, Sebastian ; Lang, Jens (2019)
A Bramble--Pasciak Conjugate Gradient Method for Discrete Stokes Equations with Random Viscosity.
In: SIAM/ASA Journal on Uncertainty Quantification, 7 (3)
doi: 10.1137/18m1163920
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Rauls, Anne-Therese ; Ulbrich, Stefan (2019)
Computation of a Bouligand Generalized Derivative for the Solution Operator of the Obstacle Problem.
In: SIAM Journal on Control and Optimization, 57 (5)
doi: 10.1137/18m1187283
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Schäfer Aguilar, P. ; Schmitt, J. M. ; Ulbrich, Stefan ; Moos, M. (2019)
On the numerical discretization of optimal control problems for conservation laws.
In: Control and Cybernetics, 2019 (1)
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Augner, Björn (2019)
Well-Posedness and Stability of Infinite-Dimensional Linear Port-Hamiltonian Systems with Nonlinear Boundary Feedback.
In: SIAM Journal on Control and Optimization, 57 (3)
doi: 10.1137/15M1024901
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Neitzel, Ira ; Wick, Thomas ; Wollner, Winnifried (2019)
An Optimal Control Problem Governed by a Regularized Phase-field Fracture Propagation Model. Part II The Regularization Limit.
In: SIAM Journal on Control and Optimization, 57 (3)
doi: 10.1137/18M122385X
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Freund, Anton (2019)
A categorical construction of Bachmann–Howard fixed points.
In: Bulletin of the London Mathematical Society, 51 (5)
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Schmidt, Kersten ; Semin, Adrien ; Thöns-Zueva, Anastasia ; Bake, Friedrich (2018)
On impedance conditions for circular multiperforated acoustic liners.
In: Journal of Mathematics in Industry, 8 (1)
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Ullmann, Sebastian ; Lang, Jens (2018)
Stochastic Galerkin reduced basis methods for parametrized linear elliptic PDEs.
In: SIAM / ASA Journal on Uncertainty Quantification, (submitted)
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Richter, Thomas ; Wollner, Winnifried (2018)
An optimization framework for the computation of time-periodic solutions of partial differential equations.
In: Vietnam Journal of Mathematics, 46 (4)
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Gally, Tristan ; Kuttich, Anja ; Pfetsch, Marc E. ; Schaeffner, Maximilian ; Ulbrich, Stefan (2018)
Optimal Placement of Active Bars for Buckling Control in Truss Structures under Bar Failures.
In: Applied Mechanics and Materials, 885
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Kolvenbach, Philip ; Ulbrich, Stefan ; Krech, Martin ; Groche, Peter (2018)
Robust Design of a Smart Structure under Manufacturing Uncertainty via Nonsmooth PDE-Constrained Optimization.
In: Applied Mechanics and Materials, 885
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Deising, D. ; Bothe, D. ; Marschall, H. (2018)
Direct Numerical Simulation of Mass Transfer in Bubbly Flows.
In: Computers & Fluids, 172
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Bucher, Max ; Schwartz, Alexandra (2018)
Second-Order Optimality Conditions and Improved Convergence Results for Regularization Methods for Cardinality-Constrained Optimization Problems.
In: Journal of Optimization Theory and Applications, 178 (2)
doi: 10.1007/s10957-018-1320-7
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Gleixner, Ambros M. ; Bastubbe, Michael ; Eifler, Leon ; Gally, Tristan ; Gamrath, Gerald ; Gottwald, Robert L. ; Hendel, Gregor ; Hojny, Christoper ; Koch, Thorsten ; Lübbecke, Marco E. ; Maher, Stephen J. ; Miltenberger, Matthias ; Müller, Benjamin ; Pfetsch, Marc E. ; Puchert, Christian ; Rehfeldt, Daniel ; Schlösser, Franziska ; Schubert, Christoph ; Serrano, Felipe ; Shinano, Yuji ; Viernickel, Jan Merlin ; Walter, Matthias ; Wegscheider, Fabian ; Witt, Jonas T. ; Witzig, Jakob (2018)
The SCIP Optimization Suite 6.0.
In: ZIB-Report, 18-26
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Bruneault, Francois ; Neururer, Michael (2018)
Fourier expansions at cusps.
In: arXiv.org math
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Kolvenbach, Philip ; Lass, Oliver ; Ulbrich, Stefan (2018)
An approach for robust PDE-constrained optimization with application to shape optimization of electrical engines and of dynamic elastic structures under uncertainty.
In: Optimization and Engineering, 19 (3)
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Branda, M. ; Bucher, Max ; Červinka, M. ; Schwartz, Alexandra (2018)
Convergence of a Scholtes-type Regularization Method for Cardinality-Constrained Optimization Problems with an Application in Sparse Robust Portfolio Optimization.
In: Computational Optimization and Applications, 70 (2)
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Kromer, Johannes Richard ; Bothe, Dieter (2018)
Highly accurate numerical computation of implicitly defined volumes using the Laplace-Beltrami operator.
In: arXiv preprint arXiv:1805.03136
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Fischer, Tobias ; Pfetsch, Marc E. (2018)
Branch-and-cut for linear programs with overlapping SOS1 constraints.
In: Mathematical Programming Computation, 10 (1)
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Semin, Adrien ; Schmidt, Kersten (2018)
On the homogenization of the acoustic wave propagation in perforated ducts of finite length for an inviscid and a viscous model.
In: Proc. R. Soc. Lond. A, 474 (2210)
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Neitzel, Ira ; Wollner, Winnifried (2018)
A Priori L²-Discretization Error Estimates for the State in Elliptic Optimization Problems with Pointwise Inequality State Constraints.
In: Numerische Mathematik, 138 (2)
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Müller, Christopher ; Ullmann, Sebastian ; Lang, Jens (2018)
A Bramble-Pasciak conjugate gradient method for discrete Stokes equations with random viscosity.
In: SIAM/ASA Journal on Uncertainty Quantification (JUQ), 7 (3)
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Kohler, Michael ; Krzyzak, Adam (2018)
Adaptive Estimation of Quantiles in a Simulation Model.
In: IEEE Transactions on Infromation Theory, 64 (1)
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Semin, Adrien ; Delourme, Bérangère ; Schmidt, Kersten (2018)
On the homogenization of the Helmholtz problem with thin perforated walls of finite length.
In: ESAIM Math. Model. Numer. Anal., 52 (1)
doi: 10.1051/m2an/2017030
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Hill, S. ; Deising, D. ; Acher, T. ; Klein, H. ; Bothe, D. ; Marschall, H. (2018)
Boundedness-preserving implicit correction of mesh-induced errors for VOF based heat and mass transfer.
In: Journal of Computational Physics, 352
doi: 10.1016/j.jcp.2017.09.027
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Kohler, Michael ; Krzyzak, Adam ; Mallapur, Shashidhar ; Platz, Roland (2018)
Uncertainty Quantification in Case of Imperfect Models: A Non-Bayesian Approach.
In: Scandinavian Journal of Statistics, 45 (3)
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Falcone, M. ; Bothe, D. ; Marschall, H. (2018)
3D direct numerical simulations of reactive mass transfer from deformable single bubbles: An analysis of mass transfer coefficients and reaction selectivities.
In: Chemical Engineering Science, 177
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Marić, T. ; Marschall, H. ; Bothe, D. (2018)
An enhanced un-split face-vertex flux-based VoF method.
In: Journal of Computational Physics, 371
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Gugat, Martin ; Ulbrich, Stefan (2018)
Lipschitz solutions of initial boundary value problems for balance laws.
In: Mathematical Models and Methods in Applied Sciences, 28 (05)
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Kunimoto, Masahiro ; Bothe, Dieter ; Tamura, Risa ; Oyanagi, Takahiro ; Fukunaka, Yasuhiro ; Nakai, Hiromi ; Homma, Takayuki (2018)
Spectroscopic and Computational Analyses of Liquid–Liquid Interfacial Reaction Mechanism of Boric Acid Esterification with 2,2,4-Trimethyl-1,3-pentanediol in Boron Extraction Processes.
In: The Journal of Physical Chemistry C, 122 (19)
doi: 10.1021/acs.jpcc.8b01086
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Hodgkinson, Arran ; Chaplain, Mark A. J. ; Domschke, Pia ; Trucu, Dumitru (2018)
Computational Approaches and Analysis for a Spatio-Structural-Temporal Invasive Carcinoma Model.
In: Bulletin of Mathematical Biology, 80 (4)
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Domschke, Pia ; Dua, Aseem ; Stolwijk, Jeroen J. ; Lang, Jens ; Mehrmann, Volker (2018)
Adaptive refinement strategies for the simulation of gas flow in networks using a model hierarchy.
In: Electronic Transactions on Numerical Analysis, 48
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Hieber, Matthias ; Prüss, Jan (2018)
On the bidomain problem with FitzHugh–Nagumo transport.
In: Archiv der Mathematik, 111 (3)
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Pesci, Chiara ; Weiner, Andre ; Marschall, Holger ; Bothe, Dieter (2018)
Computational analysis of single rising bubbles influenced by soluble surfactant.
In: Journal of Fluid Mechanics, 856
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Giesselmann, Jan ; Kolbe, Niklas ; Lukacova-Medvidova, Maria ; Sfakianakis, Nikolaos (2018)
Existence and uniqueness of global classical solutions to a two species cancer invasion haptotaxis model.
In: Discrete & Continuous Dynamical Systems - B, 23 (10)
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Lang, Jens ; Mindt, Pascal (2018)
Entropy-preserving coupling conditions for one-dimensional Euler systems at junctions.
In: Networks & Heterogeneous Media, 13 (1)
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Götz, Benedict ; Kersting, Sebastian (2018)
Estimation of Uncertainty in the Lateral Vibration Attenuation of a Beam with Piezo-Elastic Supports by Neural Networks.
In: Applied Mechanics and Materials, 885
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Nicaise, Serge ; Semin, Adrien (2018)
Density and trace results in generalized fractal networks.
In: ESAIM: Mathematical Modelling and Numerical Analysis, 52 (3)
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Fricke, Mathis ; Köhne, Matthias ; Bothe, Dieter (2018)
On the Kinematics of Contact Line Motion.
In: PAMM, 18 (1)
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Gründing, Dirk ; Bothe, Dieter ; Marschall, Holger (2018)
Wetting phenomena with ALE interface tracking.
In: PAMM, 18 (1)
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Ludovici, Francesco ; Neitzel, Ira ; Wollner, Winnifried (2018)
A Priori Error Estimates for State Constrained Semilinear Parabolic Optimal Control Problems.
In: Journal of Optimization Theory and Applications, 178 (2)
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Wollner, W. (2018)
Optimization of phase-field damage and fracture - and its discretization.
In: Oberwolfach Reports, 15 (4)
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Gleixner, Ambros M. ; Eifler, Leon ; Gally, Tristan ; Gamrath, Gerald ; Gemander, Patrick ; Gottwald, Robert L. ; Hendel, Gregor ; Hojny, Christoper ; Koch, Thorsten ; Miltenberger, Matthias ; Müller, Benjamin ; Pfetsch, Marc E. ; Puchert, Christian ; Rehfeldt, Daniel ; Schlösser, Franziska ; Serrano, Felipe ; Shinano, Yuji ; Viernickel, Jan Merlin ; Vigerske, Stefan ; Weninger, Dieter ; Witt, Jonas T. ; Witzig, Jakob (2017)
The SCIP Optimization Suite 5.0.
In: ZIB Report, 17-61
Artikel, Bibliographie

Bauer, Benedikt ; Heimrich, Felix ; Kohler, Michael ; Krzyzak, Adam (2017)
On estimation of surrogate models for multivariate computer experiments.
In: Annals of the Institute of Statistical Mathematics, 69
Artikel, Bibliographie

Lass, Oliver ; Ulbrich, Stefan (2017)
Model Order Reduction Techniques with a Posteriori Error Control for Nonlinear Robust Optimization Governed by Partial Differential Equations.
In: SIAM Journal on Scientific Computing, 39 (5)
doi: 10.1137/16m108269x
Artikel, Bibliographie

Herzog, R. ; Wollner, W. (2017)
A Conjugate Direction Method for Linear Systems in Banach Spaces.
In: Journal of Inverse and Ill-posed Problems, 25 (5)
doi: 10.1515/jiip-2016-0027
Artikel, Bibliographie

Goll, C. ; Wick, T. ; Wollner, W. (2017)
DOpElib: Differential Equations and Optimization Environment; A Goal Oriented Software Library for Solving PDEs and Optimization Problems with PDEs.
In: Archive of Numerical Software, 5 (2)
doi: 10.11588/ans.2017.2.11815
Artikel, Bibliographie

Bauer, Benedikt ; Devroye, Luc ; Kohler, Michael ; Krzyzak, Adam ; Walk, Harro (2017)
Nonparametric estimation of a function from noiseless observations at random points.
In: Journal of Multivariate Analysis, 160
Artikel, Bibliographie

Ulbrich, Michael ; Ulbrich, Stefan ; Bratzke, Daniela (2017)
A Multigrid Semismooth Newton Method for Semilinear Contact Problems.
In: Journal of Computational Mathematics, 35 (4)
Artikel, Bibliographie

Ulbrich, Stefan ; Ziems, Jan Carsten (2017)
Adaptive multilevel trust-region methods for time-dependent PDE-constrained optimization.
In: Portugaliae Mathematica, 74 (1)
doi: 10.4171/PM/1992
Artikel, Bibliographie

Kohler, Michael ; Krzyzak, Adam (2017)
Nonparametric Regression Based on Hierarchical Interaction Models.
In: IEEE Transactions on Information Theory, 63 (3)
Artikel, Bibliographie

Iapichino, L. ; Ulbrich, S. ; Volkwein, S. (2017)
Multiobjective PDE-constrained optimization using the reduced-basis method.
In: Advances in Computational Mathematics, 43 (5)
doi: 10.1007/s10444-016-9512-x
Artikel, Bibliographie

Linke, A. ; Merdon, C. ; Wollner, W. (2017)
Optimal L² Velocity Error Estimates for a Modified Pressure-Robust Crouzeix-Raviart Stokes Element.
In: IMA Journal of Numerical Analysis, 37 (1)
doi: 10.1093/imanum/drw019
Artikel, Bibliographie

Bothe, D. ; Koehne, M. ; Maier, S. ; Saal, J. (2017)
Global strong solutions for a class of heterogeneous catalysis models.
In: Journal of Mathematical Analysis and Applications, 445 (1)
Artikel, Bibliographie

Weber, P. S. ; Marschall, H. ; Bothe, D. (2017)
Highly accurate two-phase species transfer based on ALE Interface Tracking.
In: International Journal of Heat and Mass Transfer, 104
Artikel, Bibliographie

Disser, Y. ; Klimm, M. ; Megow, N. ; Stiller, S. (2017)
Packing a knapsack of unknown capacity.
In: SIAM Journal on Discrete Mathematics, 31 (3)
Artikel, Bibliographie

Bothe, Dieter ; Denk, Robert ; Hieber, Matthias ; Schnaubelt, Roland ; Simonett, Gieri ; Wilke, Mathias ; Zacher, Rico (2017)
Special Issue: Parabolic Evolution Equations, Maximal Regularity, and Applications - Dedicated to Jan Pruss Preface.
In: Journal of Evolution Equations, 17 (1)
Artikel, Bibliographie

Bothe, D. ; Fischer, A. ; Pierre, M. ; Rolland, G. (2017)
Global wellposedness for a class of reaction-advection-anisotropic-diffusion systems.
In: Journal of Evolution Equations, 17 (1)
Artikel, Bibliographie

Bothe, D. ; Kashiwabara, T. ; Koehne, M. (2017)
Strong well-posedness for a class of dynamic outflow boundary conditions for incompressible Newtonian flows.
In: Journal of Evolution Equations, 17 (1)
Artikel, Bibliographie

Planchette, C. ; Hinterbichler, H. ; Liu, M. ; Bothe, D. ; Brenn, G. (2017)
Colliding drops as coalescing and fragmenting liquid springs.
In: Journal of Fluid Mechanics, 814
Artikel, Bibliographie

Erath, Christoph ; Schorr, Robert (2017)
An Adaptive Nonsymmetric Finite Volume and Boundary Element Coupling Method for a Fluid Mechanics Interface Problem.
In: SIAM Journal on Scientific Computing, 39 (3)
doi: 10.1137/16M1076721
Artikel, Bibliographie

Egger, H. ; Seitz, T. ; Tropea, C. (2017)
Enhancement of flow measurements using fluid-dynamic constraints.
In: Journal of Computational Physics, 344
doi: 10.1016/j.jcp.2017.04.080
Artikel, Bibliographie

Niethammer, M. ; Marschall, H. ; Kunkelmann, C. ; Bothe, D. (2017)
A numerical stabilization framework for viscoelastic fluid flow using the finite volume method on general unstructured meshes.
In: International Journal for Numerical Methods in Fluids, 86 (2)
doi: 10.1002/fld.4411
Artikel, Bibliographie

Weiner, A. ; Bothe, D. (2017)
Advanced subgrid-scale modeling for convection-dominated species transport at fluid interfaces with applicaton to rising bubbles.
In: Journal of Computational Physics, 347
doi: 10.1016/j.jcp.2017.06.040
Artikel, Bibliographie

Prüss, Jan ; Bothe, Dieter (2017)
Modeling and analysis of reactive multi-component two-phase flows with mass transfer and phase transition -- The isothermal incompressible case.
In: Discrete and Continuous Dynamical Systems - Series S, 10 (4)
doi: 10.3934/dcdss.2017034
Artikel, Bibliographie

Domschke, Pia ; Trucu, Dumitru ; Gerisch, Alf ; Chaplain, Mark A. J. (2017)
Structured models of cell migration incorporating molecular binding processes.
In: Journal of Mathematical Biology, 75 (6-7)
doi: 10.1007/s00285-017-1120-y
Artikel, Bibliographie

Giesselmann, Jan ; Lattanzio, Corrado ; Tzavaras, Athanasios E. (2017)
Relative energy for the Korteweg theory and related Hamiltonian flows in gas dynamics.
In: Arch. Ration. Mech. Anal., 223
doi: 10.1007/s00205-016-1063-2
Artikel, Bibliographie

Giesselmann, Jan ; Pryer, Tristan (2017)
A posteriori analysis for dynamic model adaptation in convection dominated problems.
In: Math. Models Methods Appl. Sci. (M3AS), 27 (13)
doi: 10.1142/S0218202517500476
Artikel, Bibliographie

Giesselmann, Jan ; Tzavaras, Athanasios E. (2017)
Stability properties of the Euler-Korteweg system with nonmonotone pressures.
In: Appl. Anal., 96 (9)
doi: 10.1080/00036811.2016.1276175
Artikel, Bibliographie

Drescher, Lukas ; Heumann, Holger ; Schmidt, Kersten (2017)
A High Order Galerkin Method for Integrals over Contour Lines with an Application to Plasma Physics.
In: SIAM Numer. Math., 55 (6)
doi: 10.1137/16M1102227
Artikel, Bibliographie

Schmidt, Kersten ; Hiptmair, Ralf (2017)
Asymptotic expansion techniques for singularly perturbed boundary integral equations.
In: Numer. Math., 137 (2)
doi: 10.1007/s00211-017-0881-y
Artikel, Bibliographie

Hajian, Soheil ; Hintermüller, Michael ; Ulbrich, Stefan (2017)
Total variation diminishing schemes in optimal control of scalar conservation laws.
In: IMA Journal of Numerical Analysis, 39 (1)
doi: 10.1093/imanum/drx073
Artikel, Bibliographie

Neitzel, I. ; Wick, T. ; Wollner, W. (2017)
An Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model.
In: SIAM Journal on Control and Optimization, 55 (4)
doi: 10.1137/16M1062375
Artikel, Bibliographie

Schmidt, Martin ; Aßmann, Denis ; Burlacu, Robert ; Humpola, Jesco ; Joormann, Imke ; Kanelakis, Nikolaos ; Koch, Thorsten ; Oucherif, Djamal ; Pfetsch, Marc E. ; Schewe, Lars ; Schwarz, Robert ; Sirvent, Mathias (2017)
GasLib - A Library of Gas Network Instances.
In: Data, 2 (4)
doi: 10.3390/data2040040
Artikel, Bibliographie

Semin, Adrien ; Schmidt, Kersten (2016)
Absorbing boundary conditions for the viscous acoustic wave equation.
In: Math. Meth. Appl. Sci., 39 (17)
doi: 10.1002/mma.3755
Artikel, Bibliographie

Domschke, Pia ; Kolb, Oliver ; Lang, Jens (2016)
Adaptive Modelling, Simulation and Optimization of Gas and Water Supply Networks.
In: PAMM, 16 (1)
doi: 10.1002/pamm.201610408
Artikel, Bibliographie

Enss, Georg Christoph ; Kohler, Michael ; Krzyzak, Adam ; Platz, Roland (2016)
Nonparametric quantile estimation based on surrogate models.
In: IEEE Transaction on Information Theory, 62 (10)
Artikel, Bibliographie

Bott, Ann-Kathrin ; Felber, Tina ; Kohler, Michael ; Kristl, Lisa (2016)
Estimation of a time-dependent density.
In: Journal of Statistical Planning and Inference, 180
Artikel, Bibliographie

Gründing, Dirk ; Fleckenstein, Stefan ; Bothe, Dieter (2016)
A subgrid-scale model for reactive concentration boundary layers for 3D mass transfer simulations with deformable fluid interfaces.
In: International Journal of Heat and Mass Transfer, 101
doi: 10.1016/j.ijheatmasstransfer.2016.04.119
Artikel, Bibliographie

Gally, Tristan ; Pfetsch, Marc E. (2016)
Computing Restricted Isometry Constants via Mixed-Integer Semidefinite Programming.
In: Optimization Online
Artikel, Bibliographie

Gally, Tristan ; Pfetsch, Marc E. ; Ulbrich, Stefan (2016)
A Framework for Solving Mixed-Integer Semidefinite Programs.
In: Optimization Methods and Software, 33 (3)
Artikel, Bibliographie

Delourme, Bérangère ; Schmidt, Kersten ; Semin, Adrien (2016)
On the homogenization of thin perforated walls of finite length.
In: Asymptot. Anal., 97 (3-4)
doi: 10.3233/ASY-151350
Artikel, Bibliographie

Liu, M. ; Bothe, D. (2016)
Numerical study of head-on droplet collisions at high Weber numbers.
In: Journal of Fluid Mechanics, 789
Artikel, Bibliographie

Falconi, C. J. ; Lehrenfeld, C. ; Marschall, H. ; Meyer, C. ; Abiev, R. ; Bothe, D. ; Reusken, A. ; Schlueter, M. ; Woerner, M. (2016)
Numerical and experimental analysis of local flow phenomena in laminar Taylor flow in a square mini-channel.
In: Physics of Fluids, 28 (1)
Artikel, Bibliographie

Deising, Daniel ; Marschall, Holger ; Bothe, Dieter (2016)
A unified single-field model framework for Volume-Of-Fluid simulations of interfacial species transfer applied to bubbly flows.
In: Chemical Engineering Science, 139
Artikel, Bibliographie

Ritter, Tobias ; Euler, Juliane ; Ulbrich, Stefan ; Stryk, Oskar von (2016)
Decentralized Dynamic Data-Driven Monitoring of Atmospheric Dispersion Processes.
In: Procedia Computer Science, 80
Artikel, Bibliographie

Disser, Y. ; Matuschke, J. (2016)
Degree-constrained orientations of embedded graphs.
In: Journal of Combinatorial Optimization, 3
Artikel, Bibliographie

Ullmann, Sebastian ; Rotkvic, Marko ; Lang, Jens (2016)
POD-Galerkin reduced-order modeling with adaptive finite element snapshots.
In: Journal of Computational Physics, 325
Artikel, Bibliographie

Weber, Paul S. ; Bothe, Dieter (2016)
Applicability of the Linearized Theory of the Maxwell-Stefan Equations.
In: Aiche Journal, 62 (8)
Artikel, Bibliographie

Bothe, D. (2016)
Mass transfer across fluid interfaces - modeling the influence of adsorbed surfactant.
In: Proc. RIMS Symposium on “Mathematical Analysis of Viscous Incompressible Fluids”
Artikel, Bibliographie

Burdakov, Oleg ; Kanzow, Christian ; Schwartz, Alexandra (2016)
Mathematical Programs with Cardinality Constraints: Reformulation by Complementarity-type Constraints and a Regularization Method.
In: SIAM Journal on Optimization, 26
Artikel, Bibliographie

Cervinka, Michal ; Kanzow, Christian ; Schwartz, Alexandra (2016)
Constraint Qualifications and Optimality Conditions of Cardinality-Constrained Optimization Problems.
In: Mathematical Programming, 160
Artikel, Bibliographie

Dedner, Andreas ; Giesselmann, Jan (2016)
A posteriori analysis of fully discrete method of lines DG schemes for systems of conservation laws.
In: SIAM J. Numer. Anal., 54 (6)
Artikel, Bibliographie

Giesselmann, Jan (2016)
Relative entropy based error estimates for discontinuous Galerkin schemes.
In: Bull. Braz. Math. Soc. (N.S.), 47 (1)
doi: 10.1007/s00574-016-0144-z
Artikel, Bibliographie

Giesselmann, Jan ; Pryer, Tristan (2016)
Reduced relative entropy techniques for a posteriori analysis of multiphase problems in elastodynamics.
In: IMA J. Numer. Anal., 36 (4)
Artikel, Bibliographie

Giesselmann, Jan ; Pryer, Tristan (2016)
Reduced relative entropy techniques for a priori analysis of multiphase problems in elastodynamics.
In: BIT Numerical Mathematics, 56
doi: 10.1007/s10543-015-0560-2
Artikel, Bibliographie

Péron, Victor ; Schmidt, Kersten ; Duruflé, Marc (2016)
Equivalent Transmission Conditions for the time-harmonic Maxwell equations in 3D for a Medium with a Highly Conductive Thin Sheet.
In: SIAM J. Appl. Math., 76 (3)
Artikel, Bibliographie

Linker, Patrick (2016)
Foundations of E-Theory.
In: The Winnower
doi: 10.15200/winn.145350.06184
Artikel, Bibliographie

Fath, Anja ; Bothe, Dieter (2015)
Direct numerical simulations of thermocapillary migration of a droplet attached to a solid wall.
In: International Journal of Multiphase Flow, 77
Artikel, Bibliographie

Fath, Anja ; Bothe, Dieter (2015)
Direct numerical simulations of thermocapillary migration of a droplet attached to a solid wall.
In: International Journal of Multiphase Flow, 77
Artikel, Bibliographie

Gally, Tristan ; Gehb, Christopher Maximilian ; Kolvenbach, Philip ; Kuttich, Anja ; Pfetsch, Marc E. ; Ulbrich, Stefan (2015)
Robust Truss Topology Design with Beam Elements via Mixed Integer Nonlinear Semidefinite Programming.
In: Applied Mechanics and Materials, 807
Artikel, Bibliographie

Domschke, Pia ; Groß, Martin ; Hante, Falk M. ; Hiller, Benjamin ; Schewe, Lars ; Schmidt, Martin (2015)
Mathematische Modellierung, Simulation und Optimierung von Gastransportnetzwerken.
In: gwf - Gas+Energie, 156 (11)
Artikel, Bibliographie

Schmidt, Kersten ; Diaz, Julien ; Heier, Christian (2015)
Non-conforming Galerkin finite element methods for symmetric local absorbing boundary conditions.
In: Comput. Math. Appl., 70 (9)
doi: 10.1016/j.camwa.2015.08.034
Artikel, Bibliographie

Albert, C. ; Kromer, Johannes ; Robertson, A. M. ; Bothe, D. (2015)
Dynamic behaviour of buoyant high viscosity droplets rising in a quiescent liquid.
In: Journal of Fluid Mechanics, 778
Artikel, Bibliographie

Felber, Tina ; Kohler, Michael ; Krzyzak, Adam (2015)
Adaptive Density Estimation From Data With Small Measurement Errors.
In: IEEE Transactions on Infromation Theory, 61 (6)
Artikel, Bibliographie

Goll, Christian ; Rannacher, Rolf ; Wollner, Winnifried (2015)
The Damped Crank-Nicolson Time-Marching Scheme for the Adaptive Solution of the Black-Scholes Equation.
In: Journal of Computational Finance, 18 (4)
doi: 10.21314/JCF.2015.301
Artikel, Bibliographie

Fliss, Sonia ; Klindworth, Dirk ; Schmidt, Kersten (2015)
Robin-to-Robin transparent boundary conditions for the computation of guided modes in photonic crystal wave-guides.
In: BIT Numerical Mathematics, 55 (1)
doi: 10.1007/s10543-014-0521-1
Artikel, Bibliographie

Felber, Tina ; Kohler, Michael ; Krzyzak, Adam (2015)
Adaptive density estimation based on real and artificial data.
In: Journal of Nonparametric Statistics, 27
Artikel, Bibliographie

Schmidt, Kersten ; Heier, Christian (2015)
An analysis of Feng's and other symmetric local absorbing boundary conditions.
In: ESAIM: Math. Model. Numer. Anal., 49 (1)
doi: 10.1051/m2an/2014029
Artikel, Bibliographie

Bott, Ann-Kathrin ; Felber, Tina ; Kohler, Michael (2015)
Estimation of a density in a simulation model.
In: Journal of Nonparametric Statistics, 27 (3)
doi: 10.1080/10485252.2015.1049601
Artikel, Bibliographie

Furer, Dmytro ; Kohler, Michael (2015)
Smoothing spline regression based on real and artificial data.
In: Metrika, 78 (6)
Artikel, Bibliographie

Maric, Tomislav ; Marschall, H. ; Bothe, D. (2015)
lentFoam - A hybrid Level Set / Front Tracking method on unstructured meshes.
In: Computers and Fluids, (113)
doi: 10.1016/j.compfluid.2014.12.019
Artikel, Bibliographie

Chen, Xingyuan ; Schäfer, Michael ; Bothe, Dieter (2015)
Numerical modeling and investigation of viscoelastic fluid-structure interaction applying an implicit partitioned coupling algorithm.
In: Journal of Fluids and Structures, 54
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Fath, Anja ; Horn, Tobias ; Gambaryan-Roisman, Tatiana ; Stephan, Peter ; Bothe, Dieter (2015)
Numerical and experimental analysis of short-scale Marangoni convection on heated structured surfaces.
In: International Journal of Heat and Mass Transfer, 86
Artikel, Bibliographie

Bothe, D. ; Dreyer, W. (2015)
Continuum thermodynamics of chemically reacting fluid mixtures.
In: Acta Mechanica, 226 (6)
Artikel, Bibliographie

Fleckenstein, Stefan ; Bothe, Dieter (2015)
A Volume-of-Fluid-based numerical method for multi-component mass transfer with local volume changes.
In: Journal of Computational Physics, 301
Artikel, Bibliographie

Dieter-Kissling, Kathrin ; Marschall, Holger ; Bothe, Dieter (2015)
Direct Numerical Simulation of droplet formation processes under the influence of soluble surfactant mixtures.
In: Computers & Fluids, 113
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Dieter-Kissling, Kathrin ; Marschall, Holger ; Bothe, Dieter (2015)
Numerical method for coupled interfacial surfactant transport on dynamic surface meshes of general topology.
In: Computers & Fluids, 109
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Disser, Y. ; Feldmann, A. ; Klimm, M. ; Mihalák, M. (2015)
Improving the Hk-Bound on the Price of Stability in Undirected Shapley Network Design Games.
In: Theoretical Computer Science, 562
Artikel, Bibliographie

Chalopin, J. ; Das, S. ; Disser, Y. ; Mihalák, M. ; Widmayer, P. (2015)
Mapping simple polygons: The power of telling convex from reflex.
In: ACM Transactions on Algorithms, 11
Artikel, Bibliographie

Dereniowski, D. ; Disser, Y. ; Kosowski, A. ; Pająk, D. ; Uznański, P. (2015)
Fast Collaborative Graph Exploration.
In: Information and Computation, 243
Artikel, Bibliographie

Kanzow, Christian ; Schwartz, Alexandra (2015)
The price of Inexactness: Convergence Properties of Relaxation Methods for Mathematical Programs with Complementarity Constraints Revisited.
In: Mathematics of Operations Research, 40 (2)
Artikel, Bibliographie

Bothe, Dieter ; Rolland, Guillaume (2015)
Global Existence for a Class of Reaction-Diffusion Systems with Mass Action Kinetics and Concentration-Dependent Diffusivities.
In: Acta Applicandae Mathematicae, 139 (1)
doi: 10.1007/s10440-014-9968-y
Artikel, Bibliographie

Paffenholz, Andreas (2015)
Faces of Birkhoff Polytopes.
In: Electronic Journal of Combinatorics, 22 (1)
Artikel, Bibliographie

Giesselmann, Jan (2015)
Relative entropy in multi-phase models of 1d elastodynamics: Convergence of a non-local to a local model.
In: J. Differential Equations, 258
Artikel, Bibliographie

Giesselmann, Jan (2015)
Low Mach asymptotic preserving scheme for the Euler-Korteweg model.
In: IMA J. Numer. Anal., 32 (2)
doi: 10.1093/imanum/dru022
Artikel, Bibliographie

Giesselmann, Jan ; Makridakis, Charalambos ; Pryer, Tristan (2015)
A posteriori analysis of discontinuous Galerkin schemes for systems of hyperbolic conservation laws.
In: SIAM J. Numer. Anal., 53
Artikel, Bibliographie

Giesselmann, Jan ; Pryer, Tristan (2015)
Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model.
In: M2AN Math. Model. Numer. Anal., 49 (1)
Artikel, Bibliographie

Schmidt, Kersten ; Hiptmair, Ralf (2015)
Asymptotic boundary element methods for thin conducting sheets.
In: Discrete Contin. Dyn. Syst. Ser. S, 8 (3)
doi: 10.3934/dcdss.2015.8.619
Artikel, Bibliographie

Garnier, Josselin ; Papanicolaou, George ; Semin, Adrien ; Tsogka, Chrysoula (2015)
Signal to Noise Ratio Analysis in Virtual Source Array Imaging.
In: SIAM Journal on Imaging Sciences, 8 (1)
doi: 10.1137/140968677
Artikel, Bibliographie

Ludovici, Francesco ; Wollner, Winnifried (2015)
A Priori Error Estimates for a Finite Element Discretization of Parabolic Optimization Problems with Pointwise Constraints in Time on Mean Values of the Gradient of the State.
In: SIAM Journal on Control and Optimization, 53 (2)
doi: 10.1137/140961778
Artikel, Bibliographie

Meyer, Ch. ; Rademacher, A. ; Wollner, W. (2015)
Adaptive optimal control of the obstacle problem.
In: SIAM Journal on Scientific Computing, 37 (2)
doi: 10.1137/140975863
Artikel, Bibliographie

Enss, Georg Christoph ; Götz, Benedict ; Kohler, Michael ; Krzyzak, Adam ; Platz, Roland (2014)
Nonparametric estimation of a maximum of quantiles.
In: Electronic Journal of Statistics, 8
Artikel, Bibliographie

Klindworth, Dirk ; Schmidt, Kersten (2014)
An efficient calculation of photonic crystal band structures using Taylor expansions.
In: Commun. Comput. Phys., 16 (5)
doi: 10.4208/cicp.240513.260614a
Artikel, Bibliographie

Marschall, Holger ; Boden, Stephan ; Lehrenfeld, Christoph ; Falconi, Carlos J. D. ; Hampel, Uwe ; Reusken, Arnold ; Woerner, Martin ; Bothe, Dieter (2014)
Validation of interface capturing and tracking techniques with different surface tension treatments against a Taylor bubble benchmark problem.
In: Computers & Fluids, 102
Artikel, Bibliographie

Kohler, Michael (2014)
Optimal global rates of convergence for noiseless regression estimation problems with adaptively chosen design.
In: Journal of Multivariate Analysis, (132)
Artikel, Bibliographie

Bott, Ann-Kathrin ; Kohler, Michael (2014)
Nonparametric estimation of a conditional density.
In: ESAIM Probability and Statistics
Artikel, Bibliographie

Weirich, Dominik ; Köhne, M. ; Bothe, D. (2014)
Efficient computation of flow around single fluid particles using an artificial boundary condition.
In: Int. J. for Numerical Methods in Fluids, 75 (3)
doi: 10.1002/fld.3890
Artikel, Bibliographie

Gasser, I. ; Rybicki, M. ; Wollner, W. (2014)
Optimal Control of the Temperature in a Catalytic Converter.
In: Computers & Mathematics with Applications, 67 (8)
doi: 10.1016/j.camwa.2014.02.006
Artikel, Bibliographie

Wheeler, M. F. ; Wick, T. ; Wollner, W. (2014)
An Augmented-Lagrangian Method for the Phase-Field Approach for Pressurized Fractures.
In: Computer Methods in Applied Mechanics and Engineering, 271 (1)
doi: 10.1016/j.cma.2013.12.005
Artikel, Bibliographie

Klindworth, Dirk ; Schmidt, Kersten ; Fliss, Sonia (2014)
Numerical realization of Dirichlet-to-Neumann transparent boundary conditions for photonic crystal wave-guides.
In: Comput. Math. Appl., 67 (4)
doi: 10.1016/j.camwa.2013.03.005
Artikel, Bibliographie

Albert, Christoph ; Marschall, Holger ; Bothe, Dieter (2014)
Direct Numerical Simulation of interfacial mass transfer into falling films.
In: International Journal of Heat and Mass Transfer, 69
doi: 10.1016/j.ijheatmasstransfer.2013.10.025
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Schmidt, Kersten ; Chernov, Alexey (2014)
Robust transmission conditions of high order for thin conducting sheets in two dimensions.
In: IEEE Trans. Magn., 50 (2)
doi: 10.1109/TMAG.2013.2285437
Artikel, Bibliographie

Klindworth, Dirk ; Schmidt, Kersten (2014)
Dirichlet-to-Neumann transparent boundary conditions for photonic crystal wave-guides.
In: IEEE Trans. Magn., 50 (2)
doi: 10.1109/TMAG.2013.2285412
Artikel, Bibliographie

Schmidt, Kersten ; Hiptmair, Ralf (2014)
Asymptotic boundary element methods for thin conducting sheets in two dimensions.
In: IEEE Trans. Magn., 50 (2)
doi: 10.1109/TMAG.2013.2281569
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Dieter-Kissling, Kathrin ; Karbaschi, Mohsen ; Marschall, Holger ; Javadi, Aliyar ; Miller, Reinhard ; Bothe, Dieter (2014)
On the applicability of Drop Profile Analysis Tensiometry at high flow rates using an interface tracking method.
In: Colloids and Surfaces A: Physicochemical and Engineering Aspects, 441
doi: 10.1016/j.colsurfa.2012.10.047
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Felber, Tina ; Jones, Daniel ; Kohler, Michael ; Walk, Harro (2014)
Weakly universally consistent static forecasting of stationary and ergodic time series via local averaging and least squares estimates.
In: Journal of Statistical Planning and Inference,
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Bothe, D. ; Fischer, A. ; Pierre, M. ; Rolland, G. (2014)
Global existence for diffusion-electromigration systems in space dimension three and higher.
In: Nonlinear Analysis A: Theory Methods and Applications, (99)
Artikel, Bibliographie

Kohler, Michael ; Krzyzak, Adam ; Walk, Harro (2014)
Nonparametric recursive quantile estimation.
In: Statistics and Probability Letters, 93
Artikel, Bibliographie

Albert, C. ; Tezuka, A. ; Bothe, D. (2014)
Global linear stability analysis of falling films with in- and outlet.
In: Journal of Fluid Mech., 745
Artikel, Bibliographie

Bothe, D. ; Soga, K. (2014)
Thermodynamically consistent modeling for dissolution/growth of bubbles in an incompressible solvent.
In: Proc. Int. Conf. on Mathematical Fluid Dynamics
Artikel, Bibliographie

Disser, Y. ; Ghosh, S. K. ; Mihalák, M. ; Widmayer, P. (2014)
Mapping a polygon with holes using a compass.
In: Theoretical Computer Science, 553
Artikel, Bibliographie

Franke, Jörg ; Kanzow, Christian ; Leininger, Wolfgang ; Schwartz, Alexandra (2014)
Lottery versus All-Pay Auction Contests: A Revenue Dominance Theorem.
In: Games and Economic Behavior, 83
Artikel, Bibliographie

Kanzow, Christian ; Schwartz, Alexandra (2014)
Convergence Properties of the Inexact Lin-Fukushima Relaxation Method for Mathematical Programs with Equilibrium Constraints.
In: Computational Optimization and Applications, 59
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Domschke, Pia ; Trucu, Dumitru ; Gerisch, Alf ; Chaplain, Mark A. J. (2014)
Mathematical modelling of cancer invasion: Implications of cell adhesion variability for tumour infiltrative growth patterns.
In: Journal of Theoretical Biology, 361
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Aki, G. L. ; Dreyer, W. ; Giesselmann, J. ; Kraus, C. (2014)
A quasi-incompressible diffuse interface model with phase transition.
In: Mathematical Models and Methods in Applied Sciences, 24 (5)
doi: 10.1142/S0218202513500693
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Dreyer, Wolfgang ; Giesselmann, Jan ; Kraus, Christiane (2014)
A compressible mixture model with phase transition.
In: Physica D, 273/274
doi: 10.1016/j.physd.2014.01.006
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Giesselmann, Jan (2014)
A Relative Entropy Approach to Convergence of a Low Order Approximation to a Nonlinear Elasticity Model with Viscosity and Capillarity.
In: SIAM J. Math. Anal., 46 (5)
doi: 10.1137/140951710
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Giesselmann, Jan ; Makridakis, Charalambos ; Pryer, Tristan (2014)
Energy consistent DG methods for the Navier-Stokes-Korteweg system.
In: Math. Comp., 83
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Giesselmann, Jan ; Müller, Thomas (2014)
Geometric error of finite volume schemes for conservation laws on evolving surfaces.
In: Numer. Math., 128 (3)
doi: 10.1007/s00211-014-0621-5
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Giesselmann, Jan ; Tzavaras, Athanasios E. (2014)
Singular Limiting Induced from Continuum Solutions and the Problem of Dynamic Cavitation.
In: Arch. Ration. Mech. Anal., 212 (1)
doi: 10.1007/s00205-013-0677-x
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Schmidt, Kersten ; Thöns-Zueva, Anastasia ; Joly, Patrick (2014)
Asymptotic analysis for acoustics in viscous gases close to rigid walls.
In: Math. Models Meth. Appl. Sci., 24 (9)
doi: 10.1142/S0218202514500080
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Hintermüller, Michael ; Schiela, Anton ; Wollner, Winnifried (2014)
The Length of the Primal-Dual Path in Moreau-Yosida-based Path-following for State Constrained Optimal Control.
In: SIAM Journal on Optimization, 24 (1)
doi: 10.1137/120866762
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Bothe, Dieter ; Fleckenstein, Stefan (2013)
A Volume-of-Fluid-based method for mass transfer processes at fluid particles.
In: Chemical Engineering Science, 101
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Frei, Stefan ; Rannacher, Rolf ; Wollner, Winnifried (2013)
A Priori Error Estimates for the Finite Element Discretization of Optimal Distributed Control Problems Governed by the Biharmonic Operator.
In: Calcolo, 50 (3)
doi: 10.1007/s10092-012-0063-3
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Habermehl, Kai ; Ulbrich, Stefan (2013)
Achilles High Heel - Mach einen Schuh draus!
In: Mitteilung der Deutschen Mathematiker Vereinigung (DMV), 21 (2)
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Ma, C. ; Bothe, D. (2013)
Numerical modeling of thermocapillary two-phase flows using a two-scalar approach for heat transfer.
In: J. Comp. Physics, (233)
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Hertel, Ida ; Kohler, Michael (2013)
Estimation of the optimal design of a nonlinear parametric regression problem via Monte Carlo experiments.
In: Computational Statistics and Data Analysis
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Furer, Dmytro ; Kohler, Michael (2013)
Fixed design regression estimation based on real and artificial data.
In: Journal of Nonparametric Statistics
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Devroye, Luc ; Felber, Tina ; Kohler, Michael (2013)
Estimation of a density using real and artificial data.
In: IEEE Transactions on Information Theory, 59
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Focke, Christian ; Kuschel, M. ; Sommerfeld, M. ; Bothe, D. (2013)
Computational and Experimental Analysis of Binary Collisions of Non-Isoviscous Liquid Droplets.
In: Int. J. Multiphase Flow, (56)
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Bothe, D. ; Fleckenstein, S. (2013)
Modeling and VOF-based numerical simulation of mass transfer processes at fluidic particles.
In: Chem. Eng. Science , 102
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Bothe, D. ; Fleckenstein, S. (2013)
Simplified modeling of the influence of surfactants on the rise of bubbles in VOF-Simulations.
In: Chem. Eng. Science , (102)
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Bothe, D. ; Köhne, M. ; Prüss, J. (2013)
On a Class of Energy Preserving Boundary Conditions for Incompressible Newtonian Flows.
In: SIAM J. Math. Anal. , (45)
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Chen, X. ; Marschall, H. ; Schäfer, M. ; Bothe, D. (2013)
A comparison of different methods for viscoelastic flow simulation.
In: J. of Comp. Fluid Dynamics , (27)
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Chen, Xingyuan ; Marschall, Holger ; Schäfer, Michael ; Bothe, Dieter (2013)
A comparison of stabilisation approaches for finite-volume simulation of viscoelastic fluid flow.
In: International Journal of Computational Fluid Dynamics, 27 (6-7)
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Chalopin, J. ; Das, S. ; Disser, Y. ; Mihalák, M. ; Widmayer, P. (2013)
Mapping Simple Polygons: How Robots Benefit from Looking Back.
In: Algorithmica, 65
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Chalopin, J. ; Das, S. ; Disser, Y. ; Mihalák, M. ; Widmayer, P. (2013)
Simple Agents Learn to Find Their Way: An Introduction on Mapping Polygons.
In: Discrete Applied Mathematics, 161
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Franke, Jörg ; Kanzow, Christian ; Leininger, Wolfgang ; Schwartz, Alexandra (2013)
Effort Maximization in Asymmetric Contest Games with Heterogeneous Contestants.
In: Economic Theory, 52
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Hoheisel, Tim ; Kanzow, Christian ; Schwartz, Alexandra (2013)
Theoretical and Numerical Comparison of Relaxation Methods for Mathematical Programs with Complementarity Constraints.
In: Mathematical Programming, 137
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Kanzow, Christian ; Schwartz, Alexandra (2013)
A New Regularization Method for Mathematical Programs with Complementarity Constraints with Strong Convergence Properties.
In: SIAM Journal on Optimization, 23
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Schmidt, Kersten ; Chernov, Alexey (2013)
A unified analysis of transmission conditions for thin conducting sheets in the time-harmonic eddy current model.
In: SIAM J. Appl. Math., 73 (6)
doi: 10.1137/120901398
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Wang, Mengyu ; Schmidt, Kersten ; Alparslan, Aytac ; Hafner, Christian (2013)
Hp-FEM and PML analysis of plasmonic particles in layered media.
In: Progress In Electromagnetics Research, 142
doi: 10.2528/PIER13081407
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Garnier, Josselin ; Papanicolaou, George ; Semin, Adrien ; Tsogka, Chrysoula (2013)
Signal-to-Noise Ratio Estimation in Passive Correlation-Based Imaging.
In: SIAM Journal on Imaging Sciences, 6 (2)
doi: 10.1137/120875533
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Opmeer, Mark R. ; Reis, Timo ; Wollner, Winnifried (2013)
Finite-Rank ADI Iteration for Operator Lyapunov Equations.
In: SIAM Journal on Control and Optimization, 51 (5)
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Göllner, Thea ; Hess, Wolfgang ; Ulbrich, Stefan (2012)
Geometry optimization of branched sheet metal products.
In: Proceedings in Applied Mathematics and Mechanics, 12 (1)
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Ullmann, Sebastian ; Lang, Jens (2012)
POD and CVT Galerkin reduced-order modeling of the flow around a cylinder.
In: Proceedings in Applied Mathematics and Mechanics (PAMM), 12 (1)
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Gerecht, Daniel ; Rannacher, Rolf ; Wollner, Winnifried (2012)
Computational aspects of pseudospectra in hydrodynamic stability analysis.
In: Journal of Mathematical Fluid Mechanics, 14 (4)
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Besier, Michael ; Wollner, Winnifried (2012)
On the pressure approximation in nonstationary incompressible flow simulations on dynamically varying spatial meshes.
In: International Journal Numerical Methods in Fluids, 69 (6)
doi: 10.1002/fld.2625
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Hess, Wolfgang ; Ulbrich, Stefan (2012)
An inexact ℓ1 penalty SQP algorithm for PDE-constrained optimization with an application to shape optimization in linear elasticity.
In: Optimization Methods and Software
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Bothe, D. ; Pierre, M. (2012)
The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction.
In: Discrete and Continuous Dynamical Systems Series S, 5 (1)
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Focke, Christian ; Bothe, D. (2012)
Direkte Numerische Simulation binärer Kollisionen scherverdünnender Tropfen.
In: Chemie Ingenieur Technik, 84 (1/2)
doi: 10.1002/cite.201100145
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Bothe, D. ; Wittbold, P. (2012)
Abstract reaction-diffusion systems with m-completely accretive diffusion operators and measurable reaction rates.
In: Communications on Pure and Applied Analysis, 11 (6)
doi: 10.3934/cpaa.2012.11.2239
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Bothe, D. ; Pierre, M. ; Rolland, G. (2012)
Cross-diffusion limit for a reaction-diffusion system with fast reversible reaction.
In: Comm. PDE, 37 (11)
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Bothe, D. (2012)
Mathematical Modeling and Direct Numerical Simulation of Transport Processes at Fluidic Interfaces.
In: Chemical Engineering of Japan, 76 (6)
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Groche, Peter ; Birkhofer, Herbert ; Bauer, Oliver ; Göllner, Thea ; Gramlich, Sebastian ; Kaune, Vanessa ; Rullmann, Felix ; Weitzmann, Oliver (2012)
Potenziale einer durchgängigen Produktentstehung - Nutzung technologieinduzierter Eigenschaften zur Entwicklung von Blechstrukturen.
In: Konstruktion, (11-12)
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Focke, Christian ; Bothe, D. (2012)
Direct numerical simulation of binary off-center collision of shear thinning droplets at high Weber numbers.
In: Phys. Fluids, 24 (073105)
doi: 10.1063/1.4737582
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Hertel, Ida ; Tomasella, Alessio ; Kohler, Michael ; Hanselka, Holger (2012)
Fragestellungen der Bauteilbewertung in Hinblick auf die Betriebsfestigkeit.
In: Tagungsband 4. Zwischenkolloquium SFB 666
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Devroye, Luc ; Felber, Tina ; Kohler, Michael ; Krzyzak, Adam (2012)
L1-consistent estimation of the density of residuals in random design regression models:.
In: Statistics and Probability Letters , 82
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Albert, Christoph ; Raach, Henning ; Bothe, Dieter (2012)
Influence of surface tension models on the hydrodynamics of wavy laminar falling films in Volume of Fluid-simulations.
In: International Journal of Multiphase Flow, 43
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Bilò, D. ; Disser, Y. ; Mihalák, M. ; Vicari, E. ; Suri, S. ; Widmayer, P. (2012)
Reconstructing Visibility Graphs with Simple Robots.
In: Theoretical Computer Science, 444
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Hoheisel, Tim ; Kanzow, Christian ; Schwartz, Alexandra (2012)
Convergence of a Local Regularization Approach for Mathematical Programs with Complementarity or Vanishing Constraints.
In: Optimization Methods and Software, 27
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Hoheisel, Tim ; Kanzow, Christian ; Schwartz, Alexandra (2012)
Mathematical Programs with Vanishing Constraints: A New Regularization Approach with Strong Convergence Properties.
In: Optimization, 61
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Dreyer, Wolfgang ; Giesselmann, Jan ; Kraus, Christiane ; Rohde, Christian (2012)
Asymptotic Analysis for Korteweg Models.
In: Interfaces Free Bound., 14
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Wollner, Winnifried (2012)
Optimal Control of Elliptic Equations with Pointwise Constraints on the Gradient of the State in Nonsmooth Polygonal Domains.
In: SIAM Journal on Control and Optimization, 50 (4)
doi: 10.1137/110836419
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Göllner, Thea ; Günther, Ute ; Hess, Wolfgang ; Martin, Alexander ; Ulbrich, Stefan (2011)
Topology and Geometry Optimization of Branched Sheet Metal Products.
In: PAMM, 11 (1)
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Koller, Daniela ; Ulbrich, Stefan (2011)
Optimal control of hydroforming processes.
In: PAMM, 11 (1)
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Bothe, D. ; Lojewski, A. ; Warnecke, H.-J. (2011)
Fully resolved numerical simulation of reactive mixing in a T-shaped micromixer using parabolized species equations.
In: Chemical Engineering Science, 66 (24)
doi: 10.1016/j.ces.2011.08.045
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Ma, Chen ; Bothe, Dieter (2011)
Direct numerical simulation of thermocapillary flow based on the Volume of Fluid method.
In: International Journal of Multiphase Flow, 37 (9)
doi: 10.1016/j.ijmultiphaseflow.2011.06.005
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Schmidt, Kersten ; Tordeux, Sébastien (2011)
High order transmission conditions for thin conductive sheets in magneto-quasistatics.
In: ESAIM: Math. Model. Numer. Anal., 45 (6)
doi: 10.1051/m2an/2011009
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Wang, Mengyu ; Engström, Christian ; Schmidt, Kersten ; Hafner, Christian (2011)
On high-order FEM applied to canonical scattering problems in plasmonics.
In: J. Comput. Theor. Nanosci., 8 (8)
doi: 10.1166/jctn.2011.1851
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Kück, U. D. ; Kröger, M. ; Schlüter, M. ; Räbiger, N. ; Bothe, D. ; Warnecke, H.-J. (2011)
Skalenübergreifende Transportprozesse bei Gas –Flüssig Reaktionen.
In: Chemie und Ingenieurtechnik, 83 (7)
doi: 10.1002/cite.201100036
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Ortner, Christoph ; Wollner, Winnifried (2011)
A Priori Error Estimates for Optimal Control Problems with Pointwise Constraints on the Gradient of the State.
In: Numerische Mathematik, 118 (3)
doi: 10.1007/s00211-011-0360-9
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Ziems, Jan ; Ulbrich, Stefan (2011)
Adaptive Multilevel Inexact SQP Methods for PDE-constrained Optimization.
In: SIAM Journal on Optimization, 21 (1)
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Brandsmeier, Holger ; Schmidt, Kersten ; Schwab, Christoph (2011)
A multiscale hp-FEM for 2D photonic crystal bands.
In: J. Comput. Phys., 230 (2)
doi: 10.1016/j.jcp.2010.09.018
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Saal, J. ; Nau, T. (2011)
R-sectoriality of truly cylindrical boundary value problems. In Trends in Mathematics. Parabolic Problems.
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Focke, Christian ; Bothe, D. (2011)
Computational Analysis of Binary Collisions of shear-thinning Droplets.
In: Journal of Non-Newtonian Fluid Mechanics, 166 (14-15)
doi: 10.1016/j.jnnfm.2011.03.011 (2011
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Bothe, D. ; Kröger, M. ; Warnecke, H.-J. (2011)
A VOF-Based Conservative Method for the Simulation of Reactive Mass Transfer from Rising Bubbles.
In: Fluid Dynamics & Materials Processing, 7 (3)
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Saal, J. ; Giga, Y. (2011)
L^1 maximal regularity for the Laplacian and applications.
In: AIMS Proceedings, to appear
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Januschowski, Tim ; Pfetsch, Marc E. (2011)
The Maximum k-Colorable Subgraph Problem and Orbitopes.
In: Discrete Optimization, 8 (3)
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Kaibel, Volker ; Peinhardt, Matthias ; Pfetsch, Marc E. (2011)
Orbitopal Fixing.
In: Discrete Optimization, 8 (4)
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Kohler, Michael ; Krzyzak, Adam ; Walk, Harro (2011)
Estimation of the essential supremum of a regression function.
In: Statistics & Probability Letters, (81)
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Denk, Robert ; Geissert, Matthias ; Hieber, Matthias ; Saal, Juergen ; Sawada, Okihiro (2011)
The Spin-Coating Process: Analysis of the Free Boundary Value Problem.
In: Communications in Partial Differential Equations, 36 (7)
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Disser, Y. ; Mihalák, M. ; Widmayer, P. (2011)
A polygon is determined by its angles.
In: Computational Geometry: Theory and Applications, 44
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Hoheisel, Tim ; Kanzow, Christian ; Schwartz, Alexandra (2011)
Improved Convergence Properties of the Lin-Fukushima-Regularization Method for Mathematical Programs with Complementarity Constraints.
In: Numerical Algebra, Control, and Optimization, 1
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Domschke, Pia ; Kolb, Oliver ; Lang, Jens (2011)
Adjoint-based control of model and discretisation errors for gas flow in networks.
In: International Journal of Mathematical Modelling and Numerical Optimisation, 2 (2)
doi: 10.1504/IJMMNO.2011.039427
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Joly, Patrick ; Semin, Adrien (2011)
Mathematical and numerical modeling of wave propagation in fractal trees.
In: Comptes Rendus Mathematique, 349 (19-20)
doi: 10.1016/j.crma.2011.09.008
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Schiela, Anton ; Wollner, Winnifried (2011)
Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints.
In: SIAM Journal on Optimization, 21 (1)
doi: 10.1137/080742154
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Rannacher, Rolf ; Westenberger, Antje ; Wollner, Winnifried (2010)
Adaptive Finite Element Solution of Eigenvalue Problems: Balancing of Discretization and Iteration Error.
In: Journal of Numerical Mathematics, 18 (4)
doi: 10.1515/jnum.2010.015
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Wollner, Winnifried (2010)
A Posteriori Error Estimates for a Finite Element Discretization of Interior Point Methods for an Elliptic Optimization Problem with State Constraints.
In: Computational Optimization and Applications, 47 (1)
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Schmidt, Kersten ; Tordeux, Sébastien (2010)
Asymptotic modelling of conductive thin sheets.
In: Z. Angew. Math. Phys., 61 (4)
doi: 10.1007/s00033-009-0043-x
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Schmidt, Kersten ; Kappeler, Roman (2010)
Efficient computation of photonic crystal waveguide modes with dispersive material.
In: Opt. Express, 18 (7)
doi: 10.1364/OE.18.007307
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Köhne, M. ; Prüss, J. ; Wilke, M. (2010)
On quasilinear parabolic evolution equations in weighted L^p-spaces.
In: J. Evol. Equ., 10
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Saal, J. (2010)
Wellposedness of the Tornado-Hurricane equations.
In: Discrete and Continuous Dynamical Systems - Series A, 26 (2)
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Saal, J. ; Hieber, M. ; Hess, M. ; Mahalov, A. (2010)
Nonlinear Stability of Ekman boundary layers.
In: Bull. Lond. Math. Soc., 42 (4)
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Bothe, D. ; Prüss, J. (2010)
Stability of equilibria for two-phase flows with soluble surfactant.
In: The Quarterly Journal of Mechanics & Applied Mathematics, 63 (2)
doi: 10.1093/qjmam/hbq003
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Bothe, D. ; Pierre, M. (2010)
Quasi-steady-state approximation for a reaction-diffusion system with fast intermediate.
In: J. Math. Analysis & Application, 368 (1)
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Bothe, D. ; Prüss, J. (2010)
On the Two-Phase Navier-Stokes Equations with Boussinesq-Scriven Surface.
In: Fluid J. Math. Fluid Mech., 12 (1)
doi: 10.1007/s00021-008-0278-x
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Warnecke, H.-J. ; Bothe, D. ; Berth, G. ; Hüsch, K.-P. ; Zrenner, A. (2010)
Modellbasierte Bestimmung lokal gültiger Kinetiken chemischer Reaktionen in Flüssigphase mittels Flachbettmikroreaktor.
In: Chem. Ing. Tech., 82
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Alke, A. ; Bothe, D. ; Kröger, M. ; Weigand, B. ; Weirich, Dominik ; Weking, H.
Direct numerical simulation of high Schmidt number mass transfer from air bubbles rising in liquids using the Volume-of-Fluid-Method.
In: Ercoftac Bulletin, 82
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Bothe, D. ; Lojewski, A. ; Warnecke, H.-J. (2010)
Computational analysis of an instantaneous irreversible reaction in a T-microreactor.
In: AIChE J., 56 (6)
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Seck, O. ; Maxisch, T. ; Bothe, D. ; Warnecke, H.-J. (2010)
Investigation of the Mixing and Devolatilization Behavior in a Continuous Twin-Shaft Kneader.
In: Macromolecular Symposia, 289 (1)
doi: 10.1002/masy.200900020
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Giles, Mike ; Ulbrich, Stefan (2010)
Convergence of Linearised and Adjoint Approximations for Discontinuous Solu-tions of Conservation Laws. Part 1: Linearised Approximations and Linearised Output Functionals.
In: SIAM Journal on Numerical Analysis, 48
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Ullmann, Sebastian ; Lang, Jens
A POD-Galerkin Reduced Model with Updated Coefficients for Smagorinsky LES.
In: Proceedings of the V European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010
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Kanzow, Christian ; Schwartz, Alexandra (2010)
Mathematical Programs with Equilibrium Constraints: Enhanced Fritz John-Conditions, New Constraint Qualifications and Improved Exact Penalty Results.
In: SIAM Journal on Optimization, 20
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Domschke, Pia ; Kolb, Oliver ; Lang, Jens (2010)
An adaptive model switching and discretization algorithm for gas flow on networks.
In: Procedia Computer Science, 1 (1)
doi: 10.1016/j.procs.2010.04.148
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Kolb, Oliver ; Domschke, Pia ; Lang, Jens (2010)
Modified QR decomposition to avoid non-uniqueness in water supply networks with extension to adjoint calculus.
In: Procedia Computer Science, 1 (1)
doi: 10.1016/j.procs.2010.04.158
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Kolb, Oliver ; Lang, Jens ; Bales, Pia (2010)
An implicit box scheme for subsonic compressible flow with dissipative source term.
In: Numerical Algorithms, 53 (2-3)
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Domschke, Pia ; Geissler, Björn ; Kolb, Oliver ; Lang, Jens ; Martin, Alexander ; Morsi, Antonio (2010)
Combination of Nonlinear and Linear Optimization of Transient Gas Networks.
In: INFORMS Journal on Computing
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Schmidt, Kersten ; Kauf, Peter (2009)
Computation of the band structure of two-dimensional Photonic Crystals with hp Finite Elements.
In: Comput. Methods Appl. Mech. Engrg., 198 (13--14)
doi: 10.1016/j.cma.2008.06.009
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Blome, Mark ; Maurer, Hansruedi ; Schmidt, Kersten (2009)
Advances on 3D geoelectric forward solver techniques.
In: Geophys. J. Int., 176
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Engström, Christian ; Hafner, Christian ; Schmidt, Kersten (2009)
Computations of Lossy Bloch Waves in Two-Dimensional Photonic Crystals.
In: J. Comput. Theor. Nanosci., 6 (3)
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Ulbrich, Michael ; Ulbrich, Stefan (2009)
Primal-dual interior-point methods for PDE-constrained optimization.
In: Math. Progr., 117
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Denk, R. ; Saal, J. ; Seiler, J. (2009)
Bounded H^\infty-calculus for pseudodifferential Douglis-Nirenberg systems of mild regularity.
In: Math. Nachr., 282 (3)
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Alke, A. ; Bothe, D. (2009)
3D Numerical Modeling of Soluble Surfactant at Fluidic Interfaces Based on the Volume-of-Fluid Method.
In: Fluid Dynamics & Materials Processing, 5 (4)
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Bothe, D. ; Kröger, M. ; Alke, A. ; Warnecke, H.-J.
VOF-based simulation of conjugate mass transfer from freely moving fluid particles.
In: Computational Methods in Multiphase Flow V
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Bothe, D. ; Kröger, M. ; Alke, A. ; Warnecke, H.-J. (2009)
VOF-based simulation of reactive mass transfer across deformable interfaces.
In: Progress in computational fluid dynamics PCFD, 9 (6/7)
doi: 10.1504/PCFD.2009.027363
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Giesselmann, Jan (2009)
A convergence result for finite volume schemes on Riemannian manifolds.
In: M2AN Math. Model. Numer. Anal., 43 (5)
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Apoung, Jean-Baptiste ; Havé, Pascal ; Houot, Jean ; Kern, Michel ; Semin, Adrien (2009)
Reactive Transport in Porous Media.
In: ESAIM: Proceedings, 28
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Wilms, J. ; Disser, Y. ; Alber, G. ; Percival, I. C. (2008)
Local Realism, Detection Efficiencies, and Probability Polytopes.
In: Physical Review A, 78 (3)
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Schmidt, Kersten ; Sterz, Oliver ; Hiptmair, Ralf (2008)
Estimating the eddy-current modelling error.
In: IEEE Trans. Magn., 44 (6)
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Farwig, R. ; Krbec, M. ; Necasova, S. (2008)
A weighted Lq-approach to Oseen flow around a rotating body.
In: Mathematical Methods in the Applied Sciences, 31 (5)
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Rabinovich, Vladimir ; Samko, Stefan (2008)
Boundedness and Fredholmness of pseudodifferential operators in variable exponent spaces.
In: INTEGRAL EQUATIONS AND OPERATOR THEORY, 60
Artikel, Bibliographie

Denk, R. ; Saal, J. ; Seiler, J. (2008)
Inhomogeneous symbols, the Newton polygon, and maximal Lp-regularity.
In: Russian J. Math. Phys., 15 (2)
Artikel, Bibliographie

Giga, Y. ; Inui, K. ; Mahalov, A. ; Saal, J. (2008)
Uniform global solvability of the Navier-Stokes equations for nondecaying initial data.
In: Indiana Univ. Math. J., 57 (6)
Artikel, Bibliographie

Bothe, D. ; Stemich, C. ; Warnecke, H.-J. (2008)
Computation of Scales and Quality of mixing in a T-shaped microreactor.
In: Comp. & Chem. Eng., 32
doi: 10.1016/j.compchemeng.2007.08.001
Artikel, Bibliographie

Joly, Patrick ; Semin, Adrien (2008)
Construction and analysis of improved Kirchoff conditions for acoustic wave propagation in a junction of thin slots.
In: ESAIM: Proceedings, 25
doi: 10.1051/proc:082504
Artikel, Bibliographie

Vexler, Boris ; Wollner, Winnifried (2008)
Adaptive Finite Elements for Elliptic Optimization Problems with Control Constraints.
In: SIAM Journal on Control and Optimization, 47 (1)
doi: 10.1137/070683416
Artikel, Bibliographie

Küpper, Dominique ; Lehn, Jürgen ; Rößler, Andreas (2007)
A step size control algorithm for the weak approximation of stochastic differential equations.
In: Numerical Algorithms, 44
Artikel, Bibliographie

Rößler, Andreas (2007)
Second order Runge-Kutta methods for Stratonovich stochastic differential equations.
In: BIT Numerical Mathematics, 47
Artikel, Bibliographie

Kohlenbach, Ulrich ; Streicher, Thomas (2007)
Shoenfield is Goedel after Krivine.
In: Mathematical Logic Quarterly : MLQ., 53
Artikel, Bibliographie

Farwig, Reinhard ; Myong-Hwan, Ri (2007)
The resolvent problem and H-infinity-calculus of the stokes operator in unbounded cylinders with several exits to infinity.
In: Journal of Evolution Equations, 7
Artikel, Bibliographie

Farwig, Reinhard ; Neustupa, Jiri (2007)
On the spectrum of a Stokes-type operator arising from flow around a rotating body.
In: Manuscripta Mathematica, 122
Artikel, Bibliographie

Farwig, Reinhard ; Kozono, Hideo ; Sohr, Hermann (2007)
On the Helmholtz decomposition in general unbounded domains.
In: Archiv der Mathematik, 88
Artikel, Bibliographie

Farwig, Reinhard ; Kozono, Hideo ; Sohr, Hermann (2007)
Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data.
In: Journal of the Mathematical Society of Japan, 59
Artikel, Bibliographie

Ri, Myong Hwan ; Farwig, Reinhard (2007)
Existence and exponential stability in L-r-spaces of stationary Navier-Stokes flows with prescribed flux in infinite cylindrical domains.
In: Mathematical Methods in the Applied Sciences, 30
Artikel, Bibliographie

Roch, Steffen ; Silbermann, Bernd (2007)
Szegö limit theorems for operators with almost periodic diagonals.
In: Operators and Matrices, 1
Artikel, Bibliographie

Glöckner, Helge ; Lucht, L. G. ; Porubsky, S. (2007)
Solutions to arithmetic convolution equations.
In: Proceedings of the American Mathematical Society, 135
Artikel, Bibliographie

Gramlich, Ralf ; Hofmann, Georg ; Neeb, Karl-Hermann (2007)
Semi-edges, reflections, and Coxeter groups.
In: Transactions American Mathematical Society, 359
Artikel, Bibliographie

Farwig, Reinhard ; Hishida, T. (2007)
Stationary navier-stokes flow around a rotating obstacle.
In: Funkcialaj Ekvacioj : Serio Internacia, 50
Artikel, Bibliographie

Joswig, Michael ; Rörig, Thilo (2007)
Neighborly cubical polytopes and spheres.
In: Israel Journal of Mathematics, 159
Artikel, Bibliographie

Glöckner, Helge (2007)
Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories.
In: Journal of functional analysis, 245
Artikel, Bibliographie

Gramlich, Ralf ; Horn, Max ; Nickel, Werner (2007)
Odd-dimensional orthogonal groups as amalgams of unitary groups.Part 2: Machine computations.
In: Journal of algebra
Artikel, Bibliographie

Glöckner, Helge (2007)
Direct limit groups do not have small subgroups.
In: Topology and its applications, 154
Artikel, Bibliographie

Roch, Steffen ; Rabinovich, V. S. (2007)
The Fredholm index of locally compact band-dominated operators on Lp(R).
In: Integral equations and operator theory (ISSN 00378-620X), 57
Artikel, Bibliographie

Bennett, Curtis ; Gramlich, Ralf ; Hoffman, Corneliu ; Shpectorov, Sergey (2007)
Odd-dimensional orthogonal groups as amalgams of unitary groups. Part 1: general simple connectedness.
In: Journal of Algebra, 312
Artikel, Bibliographie

Briseid, Eyvind Martol (2007)
Addendum to the paper: Some results on Kirk's asymptotic contractions.
In: Fixed Point Theory, 8
Artikel, Bibliographie

Leustean, Laurentiu (2007)
Rates of asymptotic regularity for Halpern iterations of nonexpansive mappings.
In: Journal of Universal Computer Science, 13
Artikel, Bibliographie

Berg, Benno van den ; De Marchi, Federico (2007)
Non-well-founded trees in categories.
In: Annals of Pure and Applied Logic, 146
Artikel, Bibliographie

Briseid, Eyvind Martol (2007)
A rate of convergence for asymptotic contractions.
In: Journal of Mathematical Analysis and Applications, 330
Artikel, Bibliographie

Kohlenbach, Ulrich ; Leustean, Laurentiu (2007)
The approximate fixed point property in product spaces.
In: Nonlinear Analysis Series A: Theory, Methods & Applications, 66
Artikel, Bibliographie

Briseid, Eyvind Martol (2007)
Some results on Kirk's asymptotic contractions.
In: Fixed Point Theory, 8
Artikel, Bibliographie

Lang, Jens ; Debrabant, Kristian ; Verwer, Jan (2007)
On global error control for parabolic PDEs.
In: Oberwolfach reports, 4
Artikel, Bibliographie

Ber, Benno van den ; De Marchi, Federico (2007)
Models of non-well-founded sets via an indexed final coalgebra theorem.
In: Journal of Symbolic Logic, 72 (3)
Artikel, Bibliographie

Debrabant, Kristian ; Rößler, Andreas (2007)
Families of efficient second order Runge-Kutta methods for the weak approximation of Itô stochastic differential equations.
In: Preprint des Fachbereich Mathematik der TU Darmstadt, 2528
Artikel, Bibliographie

Leustean, Laurentiu (2007)
A quadratic rate of asymptotic regularity for CAT(0)-spaces.
In: Journal of Mathematical Analysis and Applications, 325
Artikel, Bibliographie

Debrabant, Kristian ; Rößler, Andreas (2007)
Continuous Runge--Kutta methods for Stratonovich stochastic differential equations.
In: Preprint des Fachbereich Mathematik der TU Darmstadt, 2513
Artikel, Bibliographie

Debrabant, Kristian ; Rößler, Andreas (2007)
Diagonally Drift--Implicit Runge--Kutta Methods of Weak Order One and Two for Itô SDEs and Stability Analysis.
In: Preprint des Fachbereich Mathematik der TU Darmstadt
Artikel, Bibliographie

Horn, Max (2007)
On the Phan system of the Schur cover of $\SU(4,32)$.
In: Designs, Codes and Cryptography 47, 47
Artikel, Bibliographie

Hofmann, Karl Heinrich ; Morris, Sidney A. (2007)
An Open Mapping Theorem for pro-Lie Groups, Pt. 1.
In: Journal of the Australian Mathematical Society, 83
Artikel, Bibliographie

Neeb, Karl-Hermann (2007)
Non-abelian extensions of infinite-dimensional Lie groups.
In: Annales de L'Institut Fourier, 57
Artikel, Bibliographie

Hofmann, Karl Heinrich ; Morris, Sidney A. (2007)
An Open Mapping Theorem for pro-Lie Groups, pt. 2.
In: Journal of the Australian Mathematical Society, 83
Artikel, Bibliographie

Lang, Jens ; Verwer, J. (2007)
On global error estimation and control for initial value problems.
In: SIAM Journal on Scientific Computing, 29
Artikel, Bibliographie

Hofmann, Karl Heinrich ; Morris, Sidney A. (2007)
Open Mapping Theorems of Topological Groups.
In: Topological Proceedings, 31
Artikel, Bibliographie

Alber, Hans-Dieter ; Zhu, Peicheng (2007)
Global solutions to an initial boundary value problem for the Mullins equation.
In: Journal of Partial Differential Equations, 20
Artikel, Bibliographie

Kohlenbach, Ulrich (2007)
Proof interpretations and the computational content of proof in mathematics.
In: Bulletin of the European Association for Theoretical Computer Science EATCS, 93
Artikel, Bibliographie

Rabinovich, Vladimir S. ; Roch, Steffen (2007)
Essential spectra of difference operators on Z(n)-periodic graphs.
In: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 40
Artikel, Bibliographie

Alber, Hans-Dieter ; Chelminski, K. (2007)
Quasistatic problems in viscoplasticity theory II: Models with nonlinear hardening.
In: Mathematical Models & Methods in Applied Sciences, 17
Artikel, Bibliographie

Alber, Hans-Dieter ; Zhu, Peicheng (2007)
Evolution of phase boundaries by configurational forces.
In: Archive for Rational Mechanics and Analysis, 185
Artikel, Bibliographie

Joswig, Michael ; Witte, Nikolaus (2007)
Products of foldable triangulations.
In: Advances in Mathematics, 210
Artikel, Bibliographie

Joswig, Michael ; Sturmfels, Bernd ; Yu, Josephine (2007)
Affine buildings and tropical convexity.
In: Albanian Journal of Mathematics, 1
Artikel, Bibliographie

Joswig, Michael ; Herrmann, Sven (2007)
Bounds on the f-vectors of tight spans.
In: Contributions to Discrete Mathematics, 2
Artikel, Bibliographie

Egloff, Daniel ; Kohler, Michael ; Todorovic, Nebojsa (2007)
A dynamic look-ahead Monte Carlo algorithm for pricing Bermudan options.
In: Annals of Applied Probability, 17
Artikel, Bibliographie

Kohler, Michael ; Krzyzak, Adam (2007)
Asymptotic confidence intervals for Poisson regression.
In: Journal of Multivariate Analysis, 98
Artikel, Bibliographie

Gyorfi, Laszlo ; Kohler, Michael (2007)
Nonparametric estimation of conditional distributions.
In: IEEE Transactions on Information Theory, 53
Artikel, Bibliographie

Kohler, Michael ; Krzyzak, Adam (2007)
On the rate of convergence of local averaging plug-in classification rules under a margin condition.
In: IEEE Transactions on Information Theory, 53
Artikel, Bibliographie

Farwig, Reinhard ; Ri, Myong Hwan (2007)
Stokes resolvent systems in an infinite cylinder.
In: Mathematische Nachrichten, 280
Artikel, Bibliographie

Farwig, Reinhard ; Kozono, Hideo ; Sohr, Hermann (2007)
Local in time regularity properties of the Navier-Stokes equations.
In: Indiana University Mathematics Journal, 56
Artikel, Bibliographie

Kloeden, Peter E. ; Rößler, Andreas (2007)
Runge-Kutta methods for affinely controlled nonlinear systems.
In: Journal of computational and applied mathematics, 205 (2)
Artikel, Bibliographie

Wu, Zhenyu ; Anderl, Reiner ; Ulbrich, Stefan ; Günther, Ute ; Martin, Alexander ; Kormann, Marco ; Rollmann, Thomas (2007)
Ein Ansatz zur Algorithmen-getriebenen Konstruktion - Paradigmenwechsel in der Produktentstehung.
In: Konstruktion, (5)
Artikel, Bibliographie

Wu, Zhenyu ; Anderl, Reiner ; Ulbrich, Stefan ; Günther, Ute ; Martin, Alexander ; Kormann, Marco ; Rollmann, Thomas (2007)
An approach to algorithm-based design in product development.
In: Konstruktion, (5)
Artikel, Bibliographie

Saal, J. (2007)
The Stokes operator with Robin boundary conditions in solenoidal subspaces of L^1(R^n_+)and L^infty(R^n_+).
In: Commun. Partial Differ. Equations, 32 (3)
Artikel, Bibliographie

Saal, J. (2007)
Strong solutions to the Navier-Stokes equations in bounded and unbounded domains with a moving boundary.
In: Electron. J. Diff. Eqns.,, (15)
Artikel, Bibliographie

Prüss, J. ; Saal, J. ; Simonett, G. (2007)
Existence of analytic solutions for the classical Stefan problem.
In: Math. Ann., 338
Artikel, Bibliographie

Saal, J. (2007)
Existence and regularity of weak solutions for the Navier-Stokes equations with partial slip boundary conditions.
In: RIMS Kôkyûroku Bessatsu, B1
Artikel, Bibliographie

Giga, Y. ; Inui, K. ; Mahalov, A. ; Saal, J. (2007)
Global solvability of the Navier-Stokes equations in spaces based on sum-closed frequency sets.
In: Adv. Differ. Equ., 12 (7)
Artikel, Bibliographie

Giga, Y. ; Inui, K. ; Matsui, S. ; Mahalov, A. ; Saal, J. (2007)
Rotating Navier-Stokes equations in a half-space with initial data nondecreasing at infinity: The Ekman boundary layer problem.
In: Arch. Ration. Mech. Anal., 186
Artikel, Bibliographie

Prüss, J. ; Saal, J. ; Simonett, G. (2007)
Analytic solutions for the classical two-phase Stefan problem.
In: Proceedings of Equadiff-11, International Conference on Differential Equations 2005
Artikel, Bibliographie

Giga, Y. ; Saal, J. (2007)
On the stability of the Ekman boundary layer.
In: PAMM Proc. Appl. Math. Mech., 7
Artikel, Bibliographie

Bothe, D. ; Prüss, J. (2007)
Lp-theory for a class of non-Newtonian fluids.
In: SIAM J. Math. Anal., 39
Artikel, Bibliographie

Bothe, D. ; Shirzadi, H. ; Warnecke, H.-J. (2007)
Evaluations of Euler-Euler Simulations of Bubble Columns by Numerical Tracer Experiments.
In: Trans. IChemE Part A, 85
doi: 10.1205/cherd06249
Artikel, Bibliographie

Bothe, D. ; Warnecke, H.-J. (2007)
Berechnung und Beurteilung strömungsbasierter komplex-laminarer Mischprozesse.
In: Chem. Ing. Tech., 79
doi: 10.1002/cite.200700068
Artikel, Bibliographie

Wollner, W. (2007)
Adaptive Finite Element Methods for Optimal Control Problems with Control Constraints.
In: Oberwolfach Reports, 4 (3)
Artikel, Bibliographie