Gregor Gassner
Orcid: 0000-0002-1752-1158
According to our database1,
Gregor Gassner
authored at least 73 papers
between 2007 and 2024.
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Bibliography
2024
Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations.
J. Sci. Comput., April, 2024
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., January, 2024
Multirate Time-Integration based on Dynamic ODE Partitioning through Adaptively Refined Meshes for Compressible Fluid Dynamics.
CoRR, 2024
An Entropy-Stable Discontinuous Galerkin Discretization of the Ideal Multi-Ion Magnetohydrodynamics System.
CoRR, 2024
2023
Efficient Implementation of Modern Entropy Stable and Kinetic Energy Preserving Discontinuous Galerkin Methods for Conservation Laws.
ACM Trans. Math. Softw., December, 2023
Spatial discontinuous Galerkin spectral element method for a family of chromatography models in CADET.
Comput. Chem. Eng., September, 2023
J. Comput. Phys., February, 2023
CoRR, 2023
Monolithic Convex Limiting for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods.
CoRR, 2023
2022
J. Sci. Comput., 2022
On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation.
J. Comput. Phys., 2022
On the theoretical foundation of overset grid methods for hyperbolic problems II: Entropy bounded formulations for nonlinear conservation laws.
J. Comput. Phys., 2022
On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics.
CoRR, 2022
On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows.
CoRR, 2022
CoRR, 2022
2021
Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps.
J. Sci. Comput., 2021
A Split-form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems.
J. Sci. Comput., 2021
A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics.
J. Comput. Phys., 2021
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part II: Subcell finite volume shock capturing.
J. Comput. Phys., 2021
A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations.
J. Comput. Phys., 2021
Local Fourier Analysis of a Space-Time Multigrid Method for DG-SEM for the Linear Advection Equation.
CoRR, 2021
Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing.
CoRR, 2021
A Subcell Finite Volume Positivity-Preserving Limiter for DGSEM Discretizations of the Euler Equations.
CoRR, 2021
FLEXI: A high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws.
Comput. Math. Appl., 2021
2020
Entropy Stable Discontinuous Galerkin Schemes on Moving Meshes for Hyperbolic Conservation Laws.
J. Sci. Comput., 2020
Split form ALE discontinuous Galerkin methods with applications to under-resolved turbulent low-Mach number flows.
J. Comput. Phys., 2020
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification.
J. Comput. Phys., 2020
CoRR, 2020
Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes.
CoRR, 2020
Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier-Stokes Equations.
CoRR, 2020
2019
Free-Stream Preservation for Curved Geometrically Non-conforming Discontinuous Galerkin Spectral Elements.
J. Sci. Comput., 2019
Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws.
J. Sci. Comput., 2019
Multi-element SIAC Filter for Shock Capturing Applied to High-Order Discontinuous Galerkin Spectral Element Methods.
J. Sci. Comput., 2019
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations.
CoRR, 2019
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations.
CoRR, 2019
Entropy stable numerical approximations for the isothermal and polytropic Euler equations.
CoRR, 2019
2018
Correction to: The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations.
J. Sci. Comput., 2018
J. Sci. Comput., 2018
An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property.
J. Sci. Comput., 2018
J. Sci. Comput., 2018
A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations.
J. Comput. Phys., 2018
An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs.
J. Comput. Phys., 2018
Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations.
J. Comput. Phys., 2018
2017
Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems.
J. Sci. Comput., 2017
A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations.
J. Comput. Phys., 2017
An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry.
J. Comput. Phys., 2017
J. Comput. Phys., 2017
A novel averaging technique for discrete entropy-stable dissipation operators for ideal MHD.
J. Comput. Phys., 2017
2016
An Entropy Stable Finite Volume Scheme for the Equations of Shallow Water Magnetohydrodynamics.
J. Sci. Comput., 2016
Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations.
J. Comput. Phys., 2016
Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations.
J. Comput. Phys., 2016
A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure.
J. Comput. Phys., 2016
Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable.
Appl. Math. Comput., 2016
A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations.
Appl. Math. Comput., 2016
Preface to the special issue "Recent Advances in Numerical Methods for Hyperbolic Partial Differential Equations".
Appl. Math. Comput., 2016
2015
A comparison of two entropy stable discontinuous Galerkin spectral element approximations for the shallow water equations with non-constant topography.
J. Comput. Phys., 2015
2014
An Energy Stable Discontinuous Galerkin Spectral Element Discretization for Variable Coefficient Advection Problems.
SIAM J. Sci. Comput., 2014
2013
A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods.
SIAM J. Sci. Comput., 2013
J. Sci. Comput., 2013
Preconditioning for modal discontinuous Galerkin methods for unsteady 3D Navier-Stokes equations.
J. Comput. Phys., 2013
Proceedings of the High Performance Computing in Science and Engineering '13, 2013
2012
An Efficient High Performance Parallelization of a Discontinuous Galerkin Spectral Element Method.
Proceedings of the Facing the Multicore-Challenge, 2012
2011
A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods.
SIAM J. Sci. Comput., 2011
Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors.
J. Comput. Phys., 2011
Proceedings of the High Performance Computing in Science and Engineering '11, 2011
2010
On the Quadrature and Weak Form Choices in Collocation Type Discontinuous Galerkin Spectral Element Methods.
J. Sci. Comput., 2010
2009
J. Comput. Phys., 2009
2008
A Discontinuous Galerkin Scheme based on a Space-Time Expansion II. Viscous Flow Equations in Multi Dimensions.
J. Sci. Comput., 2008
An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations.
J. Comput. Phys., 2008
2007
A Discontinuous Galerkin Scheme Based on a Space-Time Expansion. I. Inviscid Compressible Flow in One Space Dimension.
J. Sci. Comput., 2007
A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes.
J. Comput. Phys., 2007