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
Article

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
Article

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
Article

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
Article

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
Article

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
Article

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
Article

Giesselmann, Jan ; Meyer, Fabian ; Rohde, Christian (2019)
Error control for statistical solutions.
In: Numerical Analysis, (Preprint)
Article

Dedner, Andreas ; Giesselmann, Jan ; Pryer, Tristan ; Ryan, Jennifer K. (2019)
Residual estimates for post-processors in elliptic problems.
In: Numerical Analysis, (Preprint)
Article

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)
Article

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
Book Section

Giesselmann, Jan ; Zacharenakis, Dimitrios (2018)
A posteriori analysis for the Euler-Korteweg model.
In: Theory, numerics and applications of hyperbolic problems. I
Book Section

Giesselmann, Jan ; Pryer, Tristan
eds.: 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.
Conference or Workshop Item

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
Article

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
Article

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
Article

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)
Article

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)
Article

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
Article

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
Article

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)
Article

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)
Article

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
Article

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
Article

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
Article

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
Article

Giesselmann, Jan ; Müller, Thomas
eds.: 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
Book Section

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
Article

Dreyer, Wolfgang ; Giesselmann, Jan ; Kraus, Christiane (2014)
Modeling of compressible electrolytes with phase transition.
Book

Giesselmann, Jan ; Pryer, Tristan
eds.: 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
Book Section

Giesselmann, Jan ; Tzavaras, Athanasios E.
eds.: Ancona, F. ; Bressan, A. ; Marcati, P. (2014)
On cavitation in elastodynamics.
Hyperbolic Problems: Theory, Numerics, Applications.
Conference or Workshop Item

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
Article

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
Article

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
Article

Giesselmann, Jan (2013)
Cavitation and Singular Solutions in Nonlinear Elastodynamics.
PAMM 13.
doi: 10.1002/pamm.201310177
Conference or Workshop Item

Giesselmann, Jan ; Miroshnikov, Alexey ; Tzavaras, Athanasios E. (2013)
The problem of dynamic cavitation in nonlinear elasticity.
Séminaire Laurent Schwartz � EDP et applications.
Conference or Workshop Item

Dreyer, Wolfgang ; Giesselmann, Jan ; Kraus, Christiane ; Rohde, Christian (2012)
Asymptotic Analysis for Korteweg Models.
In: Interfaces Free Bound., 14
Article

Giesselmann, Jan ; Wiebe, Maria
eds.: 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)
Conference or Workshop Item

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
Conference or Workshop Item

Giesselmann, Jan
eds.: Li, T. ; Jiang, S. (2012)
Sharp interface limits for Korteweg Models.
Hyperbolic Problems: Theory, Numerics, Applications.
Conference or Workshop Item

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
Conference or Workshop Item

Giesselmann, Jan (2011)
Modelling and Analysis for Curvature Driven Partial Differential Equations.
Universität Stuttgart
Ph.D. Thesis

Giesselmann, Jan (2009)
A convergence result for finite volume schemes on Riemannian manifolds.
In: M2AN Math. Model. Numer. Anal., 43 (5)
Article

Giesselmann, Jan
eds.: 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.
Conference or Workshop Item