Gregor J. Gassner

Publication Activity (10 Years)

Years Active: 2012-2024
Publications (10 Years): 58

Top Topics

Conservation Laws

Partial Differential Equations

Wave Propagation

Top Venues

J. Comput. Phys.

J. Sci. Comput.

ACM Trans. Math. Softw.

Publications

Andrés M. Rueda-Ramírez, Aleksey Sikstel, Gregor J. Gassner
An Entropy-Stable Discontinuous Galerkin Discretization of the Ideal Multi-Ion Magnetohydrodynamics System. CoRR (2024)
Daniel Doehring, Gregor J. Gassner, Manuel Torrilhon
Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations. CoRR (2024)
Daniel Doehring, Gregor J. Gassner, Manuel Torrilhon
Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations. J. Sci. Comput. 99 (1) (2024)
Daniel Doehring, Michael Schlottke-Lakemper, Gregor J. Gassner, Manuel Torrilhon
Multirate time-integration based on dynamic ODE partitioning through adaptively refined meshes for compressible fluid dynamics. J. Comput. Phys. 514 (2024)
Daniel Doehring, Michael Schlottke-Lakemper, Gregor J. Gassner, Manuel Torrilhon
Multirate Time-Integration based on Dynamic ODE Partitioning through Adaptively Refined Meshes for Compressible Fluid Dynamics. CoRR (2024)
Andrés M. Rueda-Ramírez, Gregor J. Gassner
A flux-differencing formula for split-form summation by parts discretizations of non-conservative systems: Applications to subcell limiting for magneto-hydrodynamics. J. Comput. Phys. 496 (2024)
Hendrik Ranocha, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Jan Glaubitz, Gregor J. Gassner
High-order upwind summation-by-parts methods for nonlinear conservation laws. CoRR (2023)
Hendrik Ranocha, Michael Schlottke-Lakemper, Jesse Chan, Andrés M. Rueda-Ramírez, Andrew R. Winters, Florian Hindenlang, Gregor J. Gassner
Efficient Implementation of Modern Entropy Stable and Kinetic Energy Preserving Discontinuous Galerkin Methods for Conservation Laws. ACM Trans. Math. Softw. 49 (4) (2023)
Andrés M. Rueda-Ramírez, Benjamin Bolm, Dmitri Kuzmin, Gregor J. Gassner
Monolithic Convex Limiting for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods. CoRR (2023)
Andrés M. Rueda-Ramírez, Florian J. Hindenlang, Jesse Chan, Gregor J. Gassner
Entropy-stable Gauss collocation methods for ideal magneto-hydrodynamics. J. Comput. Phys. 475 (2023)
Andrés M. Rueda-Ramírez, Gregor J. Gassner
A Flux-Differencing Formula for Split-Form Summation By Parts Discretizations of Non-Conservative Systems: Applications to Subcell Limiting for magneto-hydrodynamics. CoRR (2022)
Hendrik Ranocha, Andrew R. Winters, Hugo Guillermo Castro, Lisandro Dalcín, Michael Schlottke-Lakemper, Gregor J. Gassner, Matteo Parsani
On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics. CoRR (2022)
Andrés M. Rueda-Ramírez, Florian J. Hindenlang, Jesse Chan, Gregor J. Gassner
Entropy-Stable Gauss Collocation Methods for Ideal Magneto-Hydrodynamics. CoRR (2022)
David A. Kopriva, Gregor J. Gassner, Jan Nordström
On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems II: Entropy Bounded Formulations for Nonlinear Conservation Laws. CoRR (2022)
David A. Kopriva, Jan Nordström, Gregor J. Gassner
On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation. J. Comput. Phys. 448 (2022)
Andrés M. Rueda-Ramírez, Will Pazner, Gregor J. Gassner
Subcell limiting strategies for discontinuous Galerkin spectral element methods. CoRR (2022)
Gregor J. Gassner, Magnus Svärd, Florian J. Hindenlang
Stability Issues of Entropy-Stable and/or Split-form High-order Schemes. J. Sci. Comput. 90 (3) (2022)
David A. Kopriva, Gregor J. Gassner, Jan Nordström
On the theoretical foundation of overset grid methods for hyperbolic problems II: Entropy bounded formulations for nonlinear conservation laws. J. Comput. Phys. 471 (2022)
David A. Kopriva, Gregor J. Gassner
A Split-form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems. J. Sci. Comput. 89 (1) (2021)
Hendrik Ranocha, Michael Schlottke-Lakemper, Jesse Chan, Andrés M. Rueda-Ramírez, Andrew R. Winters, Florian Hindenlang, Gregor J. Gassner
Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws. CoRR (2021)
Michael Schlottke-Lakemper, Andrew R. Winters, Hendrik Ranocha, Gregor J. Gassner
A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics. J. Comput. Phys. 442 (2021)
Sebastian Hennemann, Andrés M. Rueda-Ramírez, Florian J. Hindenlang, Gregor J. Gassner
A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations. J. Comput. Phys. 426 (2021)
Andrés M. Rueda-Ramírez, Sebastian Hennemann, Florian J. Hindenlang, Andrew R. Winters, Gregor J. Gassner
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part II: Subcell finite volume shock capturing. J. Comput. Phys. 444 (2021)
Andrés M. Rueda-Ramírez, Gregor J. Gassner
A Subcell Finite Volume Positivity-Preserving Limiter for DGSEM Discretizations of the Euler Equations. CoRR (2021)
David A. Kopriva, Gregor J. Gassner, Jan Nordström
Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. J. Sci. Comput. 88 (1) (2021)
Hendrik Ranocha, Michael Schlottke-Lakemper, Andrew R. Winters, Erik Faulhaber, Jesse Chan, Gregor J. Gassner
Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing. CoRR (2021)
David A. Kopriva, Jan Nordström, Gregor J. Gassner
On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems: Well-Posedness and Conservation. CoRR (2021)
Nico Krais, Gero Schnücke, Thomas Bolemann, Gregor J. Gassner
Split form ALE discontinuous Galerkin methods with applications to under-resolved turbulent low-Mach number flows. J. Comput. Phys. 421 (2020)
Gregor J. Gassner, Magnus Svärd, Florian J. Hindenlang
Stability issues of entropy-stable and/or split-form high-order schemes. CoRR (2020)
Gero Schnücke, Nico Krais, Thomas Bolemann, Gregor J. Gassner
Entropy Stable Discontinuous Galerkin Schemes on Moving Meshes for Hyperbolic Conservation Laws. J. Sci. Comput. 82 (3) (2020)
David A. Kopriva, Gregor J. Gassner, Jan Nordström
Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. CoRR (2020)
David A. Kopriva, Gregor J. Gassner
A Split-Form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems. CoRR (2020)
Andrew R. Winters, David A. Kopriva, Gregor J. Gassner, Florian Hindenlang
Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier-Stokes Equations. CoRR (2020)
Michael Schlottke-Lakemper, Andrew R. Winters, Hendrik Ranocha, Gregor J. Gassner
A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics. CoRR (2020)
Marvin Bohm, Andrew R. Winters, Gregor J. Gassner, Dominik Derigs, Florian Hindenlang, Joachim Saur
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification. J. Comput. Phys. 422 (2020)
Hendrik Ranocha, Gregor J. Gassner
Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes. CoRR (2020)
Lucas Friedrich, Gero Schnücke, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Mark H. Carpenter
Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws. J. Sci. Comput. 80 (1) (2019)
David A. Kopriva, Florian Hindenlang, Thomas Bolemann, Gregor J. Gassner
Free-Stream Preservation for Curved Geometrically Non-conforming Discontinuous Galerkin Spectral Elements. J. Sci. Comput. 79 (3) (2019)
Andrew R. Winters, Christof Czernik, Moritz B. Schily, Gregor J. Gassner
Entropy stable numerical approximations for the isothermal and polytropic Euler equations. CoRR (2019)
David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcín, Lucas Friedrich, Andrew R. Winters, Gregor J. Gassner, Matteo Parsani
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations. CoRR (2019)
Marvin Bohm, Sven Schermeng, Andrew R. Winters, Gregor J. Gassner, Gustaaf B. Jacobs
Multi-element SIAC Filter for Shock Capturing Applied to High-Order Discontinuous Galerkin Spectral Element Methods. J. Sci. Comput. 81 (2) (2019)
Marvin Bohm, Sven Schermeng, Andrew R. Winters, Gregor J. Gassner, Gustaaf B. Jacobs
Multi-element SIAC filter for shock capturing applied to high-order discontinuous Galerkin spectral element methods. CoRR (2019)
David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcín, L. Fredrich, Diego Rojas, Andrew R. Winters, Gregor J. Gassner, Stefano Zampini, Matteo Parsani
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations. CoRR (2019)
Lucas Friedrich, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Matteo Parsani, Mark H. Carpenter
An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property. J. Sci. Comput. 77 (2) (2018)
Dominik Derigs, Andrew R. Winters, Gregor J. Gassner, Stefanie Walch, Marvin Bohm
Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations. J. Comput. Phys. 364 (2018)
Lucas Friedrich, David C. Del Rey Fernández, Andrew R. Winters, Gregor J. Gassner, David W. Zingg, Jason E. Hicken
Conservative and Stable Degree Preserving SBP Operators for Non-conforming Meshes. J. Sci. Comput. 75 (2) (2018)
Andrew R. Winters, Rodrigo Costa Moura, Gianmarco Mengaldo, Gregor J. Gassner, Stefanie Walch, Joaquim Peiró, Spencer J. Sherwin
A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations. J. Comput. Phys. 372 (2018)
Gregor J. Gassner, Andrew R. Winters, Florian Hindenlang, David A. Kopriva
The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. J. Sci. Comput. 77 (1) (2018)
Niklas Wintermeyer, Andrew R. Winters, Gregor J. Gassner, Timothy Warburton
An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs. J. Comput. Phys. 375 (2018)
Gregor J. Gassner, Andrew R. Winters, Florian Hindenlang, David A. Kopriva
Correction to: The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. J. Sci. Comput. 77 (1) (2018)
Niklas Wintermeyer, Andrew R. Winters, Gregor J. Gassner, David A. Kopriva
An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry. J. Comput. Phys. 340 (2017)
Andrew R. Winters, Dominik Derigs, Gregor J. Gassner, Stefanie Walch
A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations. J. Comput. Phys. 332 (2017)
David A. Kopriva, Jan Nordström, Gregor J. Gassner
Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems. J. Sci. Comput. 72 (1) (2017)
Dominik Derigs, Andrew R. Winters, Gregor J. Gassner, Stefanie Walch
A novel averaging technique for discrete entropy-stable dissipation operators for ideal MHD. J. Comput. Phys. 330 (2017)
Dominik Derigs, Andrew R. Winters, Gregor J. Gassner, Stefanie Walch
A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure. J. Comput. Phys. 317 (2016)
Gregor J. Gassner, Andrew R. Winters, David A. Kopriva
Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations. J. Comput. Phys. 327 (2016)
Andrew R. Winters, Gregor J. Gassner
Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations. J. Comput. Phys. 304 (2016)
Andrew R. Winters, Gregor J. Gassner
An Entropy Stable Finite Volume Scheme for the Equations of Shallow Water Magnetohydrodynamics. J. Sci. Comput. 67 (2) (2016)
Christoph Altmann, Andrea D. Beck, Florian Hindenlang, Marc Staudenmaier, Gregor J. Gassner, Claus-Dieter Munz
An Efficient High Performance Parallelization of a Discontinuous Galerkin Spectral Element Method. Facing the Multicore-Challenge (2012)