4 citations · 4 across the 9 of their papers we have counts for
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Structure-preserving schemes for nonlinear symmetric hyperbolic and thermodynamically compatible systems of partial differential equations
Alessia Lucca, Michael Dumbser
This paper aims at developing exactly energy-conservative and structure-preserving finite volume schemes for the discretisation of first-order symmetric-hyperbolic and thermodynami…
High order numerical discretizations of the Einstein-Euler equations in the Generalized Harmonic formulation
Stefano Muzzolon, Michael Dumbser, Olindo Zanotti +1
We propose two new alternative numerical schemes to solve the coupled Einstein-Euler equations in the Generalized Harmonic formulation. The first one is a finite difference (FD) Ce…
A structure-preserving semi-implicit four-split scheme for continuum mechanics
Michael Dumbser, Andrea Thomann, Maurizio Tavelli +1
We introduce a novel structure-preserving vertex-staggered semi-implicit four-split discretization of a unified first order hyperbolic formulation of continuum mechanics that is ab…
A structure-preserving and thermodynamically compatible cell-centered Lagrangian finite volume scheme for continuum mechanics
Walter Boscheri, Michael Dumbser, Raphael Loubère +1
In this work we present a novel structure-preserving scheme for the discretization of the Godunov-Peshkov-Romenski (GPR) model of continuum mechanics written in Lagrangian form. Th…