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Artikel
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
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
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
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
Giesselmann, Jan ; LeFloch, Philippe G. (2020)
Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary.
In: Numerische Mathematik, 144 (4)
doi: 10.1007/s00211-020-01101-7
Artikel, Bibliographie
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)
doi: 10.1137/19M1270884
Artikel, Bibliographie
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
Artikel, Bibliographie
Giesselmann, Jan ; Meyer, Fabian ; Rohde, Christian (2019)
Error control for statistical solutions.
In: Numerical Analysis, (Preprint)
Artikel, Bibliographie
Dedner, Andreas ; Giesselmann, Jan ; Pryer, Tristan ; Ryan, Jennifer K. (2019)
Residual estimates for post-processors in elliptic problems.
In: Numerical Analysis, (Preprint)
Artikel, Bibliographie
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)
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 ; 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
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 ; LeFloch, Philippe G. (2016)
Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary.
In: Analysis of PDEs, (Preprint)
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
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
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 ; 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
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 (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 ; 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 ; Makridakis, Charalambos ; Pryer, Tristan (2014)
Energy consistent DG methods for the Navier-Stokes-Korteweg system.
In: Math. Comp., 83
doi: 10.1090/S0025-5718-2014-02792-0
Artikel, Bibliographie
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
Artikel, Bibliographie
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
Artikel, Bibliographie
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
Artikel, Bibliographie
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
Artikel, Bibliographie
Dreyer, Wolfgang ; Giesselmann, Jan ; Kraus, Christiane ; Rohde, Christian (2012)
Asymptotic Analysis for Korteweg Models.
In: Interfaces Free Bound., 14
Artikel, Bibliographie
Giesselmann, Jan (2009)
A convergence result for finite volume schemes on Riemannian manifolds.
In: M2AN Math. Model. Numer. Anal., 43 (5)
Artikel, Bibliographie
Buchkapitel
Dedner, Andreas ; Giesselmann, Jan (2018)
Residual error indicators for discontinuous Galerkin schemes for discontinuous solutions to systems of conservation laws.
In: Theory, numerics and applications of hyperbolic problems. I
Buchkapitel, Bibliographie
Giesselmann, Jan ; Zacharenakis, Dimitrios (2018)
A posteriori analysis for the Euler-Korteweg model.
In: Theory, numerics and applications of hyperbolic problems. I
Buchkapitel, Bibliographie
Giesselmann, Jan ; Müller, Thomas
Hrsg.: Fuhrmann, J. ; Ohlberger, M. ; Rohde, C. (2014)
Estimating the Geometric Error of Finite Volume Schemes for Conservation Laws on Surfaces for generic numerical flux functions.
In: Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects
Buchkapitel, Bibliographie
Giesselmann, Jan ; Pryer, Tristan
Hrsg.: Fuhrmann, J. ; Ohlberger, M. ; Rohde, C. (2014)
On aposteriori error analysis of DG schemes approximating hyperbolic conservation laws.
In: Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects
Buchkapitel, Bibliographie
Buch
Dreyer, Wolfgang ; Giesselmann, Jan ; Kraus, Christiane (2014)
Modeling of compressible electrolytes with phase transition.
Buch, Bibliographie
Konferenzveröffentlichung
Giesselmann, Jan ; Pryer, Tristan
Hrsg.: Cances, Clement ; Omnes, Pascal (2017)
Goal-oriented error analysis of a DG scheme for a second gradient elastodynamics model.
Finite Volumes for Complex Applications VIII-Methods and Theoretical Aspects.
Konferenzveröffentlichung, Bibliographie
Giesselmann, Jan ; Tzavaras, Athanasios E.
Hrsg.: Ancona, F. ; Bressan, A. ; Marcati, P. (2014)
On cavitation in elastodynamics.
Hyperbolic Problems: Theory, Numerics, Applications.
Konferenzveröffentlichung, Bibliographie
Giesselmann, Jan (2013)
Cavitation and Singular Solutions in Nonlinear Elastodynamics.
PAMM 13.
doi: 10.1002/pamm.201310177
Konferenzveröffentlichung, Bibliographie
Giesselmann, Jan ; Miroshnikov, Alexey ; Tzavaras, Athanasios E. (2013)
The problem of dynamic cavitation in nonlinear elasticity.
Séminaire Laurent Schwartz � EDP et applications.
Konferenzveröffentlichung, Bibliographie
Giesselmann, Jan ; Wiebe, Maria
Hrsg.: Vásquez Cendón, Elena ; Hidalgo, Arturo ; García Navarro, Pilar ; Cea, Luis (2012)
Finite volume schemes for balance laws on time-dependent surfaces.
Santiago de Compostela, Spain (July 4–8, 2011)
Konferenzveröffentlichung, Bibliographie
Audusse, Emmanuel ; Berthon, Christophe ; Chalons, Christophe ; Delestre, Olivier ; Goutal, Nicole ; Jodeau, Magali ; Sainte-Marie, Jaques ; Giesselmann, Jan ; Sadaka, Georges (2012)
Sediment transport modelling : Relaxation schemes for Saint-Venant - Exner and three layer models.
ESAIM Proceedings.
doi: 10.1051/proc/201238005
Konferenzveröffentlichung, Bibliographie
Giesselmann, Jan
Hrsg.: Li, T. ; Jiang, S. (2012)
Sharp interface limits for Korteweg Models.
Hyperbolic Problems: Theory, Numerics, Applications.
Konferenzveröffentlichung, Bibliographie
Aki, Gonca L. ; Daube, Johannes ; Dreyer, Wolfgang ; Giesselmann, Jan ; Kränkel, Mirko ; Kraus, Christiane (2012)
A diffuse interface model for quasi-incompressible flows : Sharp interface limits and numerics.
ESAIM Proceedings Vol. 38.
doi: 10.1051/proc/201238004
Konferenzveröffentlichung, Bibliographie
Giesselmann, Jan
Hrsg.: Eymard, R. ; Herard, J.-M. (2008)
Convergence Rate of Finite Volume Schemes for Hyperbolic Conservation Laws on Riemannian Manifolds.
Finite Volumes for Complex Applications 5.
Konferenzveröffentlichung, Bibliographie
Dissertation
Giesselmann, Jan (2011)
Modelling and Analysis for Curvature Driven Partial Differential Equations.
Universität Stuttgart
Dissertation, Bibliographie