350 citations · 1.2k across the 53 of their papers we have counts for
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Local Fourier Analysis of a Space-Time Multigrid Method for DG-SEM for the Linear Advection Equation
Lea M. Versbach, Philipp Birken, Viktor Linders +1
In this paper we present a Local Fourier Analysis of a space-time multigrid solver for a hyperbolic test problem. The space-time discretization is based on arbitrarily high order d…
On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems: Well-Posedness and Conservation
David A. Kopriva, Jan Nordström, Gregor J. Gassner
We use the energy method to study the well-posedness of initial-boundary value problems approximated by overset mesh methods in one and two space dimensions for linear constant-coe…
A Subcell Finite Volume Positivity-Preserving Limiter for DGSEM Discretizations of the Euler Equations
Andrés M. Rueda-Ramírez, Gregor J. Gassner
In this paper, we present a positivity-preserving limiter for nodal Discontinuous Galerkin disctretizations of the compressible Euler equations. We use a Legendre-Gauss-Lobatto (LG…