139 citations · 698 across the 17 of their papers we have counts for
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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…
An efficient semi-implicit method for three-dimensional non-hydrostatic flows in compliant arterial vessels
Francesco Fambri, Michael Dumbser, Vincenzo Casulli
Blood flow in arterial systems can be described by the three-dimensional Navier-Stokes equations within a time-dependent spatial domain that accounts for the elasticity of the arte…
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…
ADER discontinuous Galerkin schemes for general-relativistic ideal magnetohydrodynamics
Francesco Fambri, Michael Dumbser, Sven Köppel +2
We present a new class of high-order accurate numerical algorithms for solving the equations of general-relativistic ideal magnetohydrodynamics in curved spacetimes. In this paper…