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, S. 751-785. Springer, ISSN 0029-599X,
DOI: 10.1007/s00211-020-01101-7,
[Artikel]

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]

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), S. 1164-1194. ISSN 0036-1429,
DOI: 10.1137/19M1270884,
[Artikel]

Dedner, Andreas ; Giesselmann, Jan ; Pryer, Tristan ; Ryan, Jennifer K (2019):
Residual estimates for post-processors in elliptic problems.
ArXiv, [Anderes]

Giesselmann, Jan ; Meyer, Fabian ; Rohde, Christian (2019):
Error control for statistical solutions.
[Anderes]

Meyer, Fabian ; Rohde, Christian ; Giesselmann, Jan (2019):
A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method.
In: IMA Journal of Numerical Analysis, ISSN 0272-4979,
DOI: 10.1093/imanum/drz004,
[Artikel]

Dedner, Andreas ; Giesselmann, Jan (2018):
Residual error indicators for discontinuous Galerkin schemes for discontinuous solutions to systems of conservation laws.
In: Springer Proc. Math. Stat., 236, In: Theory, numerics and applications of hyperbolic problems. I, S. 459-471, Springer, [Buchkapitel]

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), S. 4397-4431. [Artikel]

Giesselmann, Jan ; Zacharenakis, Dimitrios (2018):
A posteriori analysis for the Euler-Korteweg model.
In: Springer Proc. Math. Stat., 236, In: Theory, numerics and applications of hyperbolic problems. I, S. 631-642, Springer, [Buchkapitel]

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, S. 1427 - 1484. DOI: 10.1007/s00205-016-1063-2,
[Artikel]

Giesselmann, Jan ; Pryer, Tristan Cances, Clement ; Omnes, Pascal (Hrsg.) (2017):
Goal-oriented error analysis of a DG scheme for a second gradient elastodynamics model.
In: Springer Proceedings in Mathematics & Statistics, 199, Finite Volumes for Complex Applications VIII-Methods and Theoretical Aspects, [Konferenzveröffentlichung]

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), S. 2381 - 2423. DOI: 10.1142/S0218202517500476,
[Artikel]

Giesselmann, Jan ; Tzavaras, Athanasios E. (2017):
Stability properties of the Euler-Korteweg system with nonmonotone pressures.
In: Appl. Anal., 96 (9), S. 1528 - 1546. DOI: 10.1080/00036811.2016.1276175,
[Artikel]

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), S. 3523-3549. [Artikel]

Giesselmann, Jan (2016):
Relative entropy based error estimates for discontinuous Galerkin schemes.
In: Bull. Braz. Math. Soc. (N.S.), 47 (1), S. 359-372. ISSN 1678-7714,
DOI: 10.1007/s00574-016-0144-z,
[Artikel]

Giesselmann, Jan ; LeFloch, Philippe G. (2016):
Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary.
[Buch]

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), S. 1685 - 1714. [Artikel]

Giesselmann, Jan ; Pryer, Tristan (2016):
Reduced relative entropy techniques for a priori analysis of multiphase problems in elastodynamics.
In: BIT Numerical Mathematics, 56, S. 99 - 127. DOI: 10.1007/s10543-015-0560-2,
[Artikel]

Giesselmann, Jan (2015):
Low Mach asymptotic preserving scheme for the Euler-Korteweg model.
In: IMA J. Numer. Anal., 32 (2), S. 802-832. DOI: 10.1093/imanum/dru022,
[Artikel]

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, S. 3589-3606. [Artikel]

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, S. 1280-1303. [Artikel]

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), S. 275-301. [Artikel]

Aki, G.~L. ; Dreyer, W. ; Giesselmann, J. ; Kraus, C. (2014):
A quasi-incompressible diffuse interface model with phase transition.
In: Math. Models Methods Appl. Sci., 24 (5), S. 827-861. DOI: 10.1142/S0218202513500693,
[Artikel]

Dreyer, Wolfgang ; Giesselmann, Jan ; Kraus, Christiane (2014):
Modeling of compressible electrolytes with phase transition.
[Buch]

Dreyer, Wolfgang ; Giesselmann, Jan ; Kraus, Christiane (2014):
A compressible mixture model with phase transition.
In: Physica D, 273/274, S. 1-13. DOI: 10.1016/j.physd.2014.01.006,
[Artikel]

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), S. 3518-3539. DOI: 10.1137/140951710,
[Artikel]

Giesselmann, Jan ; Makridakis, Charalambos ; Pryer, Tristan (2014):
Energy consistent DG methods for the Navier-Stokes-Korteweg system.
In: Math. Comp., 83, S. 2071 - 2099. DOI: 10.1090/S0025-5718-2014-02792-0,
[Artikel]

Giesselmann, Jan ; Müller, Thomas Fuhrmann, J. ; Ohlberger, M. ; Rohde, C. (Hrsg.) (2014):
Estimating the Geometric Error of Finite Volume Schemes for Conservation Laws on Surfaces for generic numerical flux functions.
In: Springer Proceedings in Mathematics & Statistics, 77, In: Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, S. 323-332, Cham, Springer, [Buchkapitel]

Giesselmann, Jan ; Müller, Thomas (2014):
Geometric error of finite volume schemes for conservation laws on evolving surfaces.
In: Numer. Math., 128 (3), S. 489�516. Springer Berlin Heidelberg, ISSN 0029-599X,
DOI: 10.1007/s00211-014-0621-5,
[Artikel]

Giesselmann, Jan ; Pryer, Tristan Fuhrmann, J. ; Ohlberger, M. ; Rohde, C. (Hrsg.) (2014):
On aposteriori error analysis of DG schemes approximating hyperbolic conservation laws.
In: Springer Proceedings in Mathematics & Statistics, 77, In: Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, S. 313-322, Cham, Springer, [Buchkapitel]

Giesselmann, Jan ; Tzavaras, Athanasios E. Ancona, F. ; Bressan, A. ; Marcati, P. (Hrsg.) (2014):
On cavitation in elastodynamics.
S. 599-606, AIMS, Hyperbolic Problems: Theory, Numerics, Applications, [Konferenzveröffentlichung]

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), S. 241 - 281. ISSN 0003-9527,
DOI: 10.1007/s00205-013-0677-x,
[Artikel]

Giesselmann, Jan (2013):
Cavitation and Singular Solutions in Nonlinear Elastodynamics.
S. 363-364, Wiley, PAMM 13, DOI: 10.1002/pamm.201310177,
[Konferenzveröffentlichung]

Giesselmann, Jan ; Miroshnikov, Alexey ; Tzavaras, Athanasios E. (2013):
The problem of dynamic cavitation in nonlinear elasticity.
Séminaire Laurent Schwartz � EDP et applications, [Konferenzveröffentlichung]

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.
S. 54-77, ESAIM Proceedings Vol. 38, DOI: 10.1051/proc/201238004,
[Konferenzveröffentlichung]

Audusse, Emmanuel ; Berthon, Christiophe ; 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.
S. 78-98, ESAIM Proceedings Vol. 38, DOI: 10.1051/proc/201238005,
[Konferenzveröffentlichung]

Dreyer, Wolfgang ; Giesselmann, Jan ; Kraus, Christiane ; Rohde, Christian (2012):
Asymptotic Analysis for Korteweg Models.
In: Interfaces Free Bound., 14, S. 105 - 143. [Artikel]

Giesselmann, Jan Li, T. ; Jiang, S. (Hrsg.) (2012):
Sharp interface limits for Korteweg Models.
2, S. 422 - 430, Hyperbolic Problems: Theory, Numerics, Applications, [Konferenzveröffentlichung]

Giesselmann, Jan ; Wiebe, Maria E. Vasquez-Cendon A. Hidalgo, P. Garcia Navarro (Hrsg.) (2012):
Finite volume schemes for balance laws on time-dependent surfaces.
Taylor and Francis Group, Numerical Methods for Hyperbolic Equations, [Konferenzveröffentlichung]

Giesselmann, Jan (2011):
Modelling and Analysis for Curvature Driven Partial Differential Equations.
Universität Stuttgart,
[Dissertation]

Giesselmann, Jan (2009):
A convergence result for finite volume schemes on Riemannian manifolds.
In: M2AN Math. Model. Numer. Anal., 43 (5), S. 929-955. [Artikel]

Giesselmann, Jan Eymard, R. ; Herard, J.-M. (Hrsg.) (2008):
Convergence Rate of Finite Volume Schemes for Hyperbolic Conservation Laws on Riemannian Manifolds.
ISTE, Wiley, Finite Volumes for Complex Applications 5, [Konferenzveröffentlichung]