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20142026
most citedA pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers

121 citations · 551 across the 20 of their papers we have counts for

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Showing 2018 · math.NAShow all

4 papers · 2 filters

math.NA2018

Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine

Michael Dumbser, Francesco Fambri, Maurizio Tavelli +2

In this paper we discuss a new and very efficient implementation of high order accurate ADER discontinuous Galerkin (ADER-DG) finite element schemes on modern massively parallel su…

math.NA2018★ 29 cited

A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography

Maurizio Tavelli, Michael Dumbser, Dominic Etienne Charrier +3

In most classical approaches of computational geophysics for seismic wave propagation problems, complex surface topography is either accounted for by boundary-fitted unstructured m…

math.NA2018★ 27 cited

Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity

Maurizio Tavelli, Michael Dumbser

In this paper we propose a new high order accurate space-time DG finite element scheme for the solution of the linear elastic wave equations in first order velocity-stress formulat…

math.NA2018★ 63 cited

A divergence-free semi-implicit finite volume scheme for ideal, viscous and resistive magnetohydrodynamics

Michael Dumbser, Dinshaw S. Balsara, Maurizio Tavelli +1

In this paper we present a novel pressure-based semi-implicit finite volume solver for the equations of compressible ideal, viscous and resistive magnetohydrodynamics (MHD). The ne…