4 citations · 4 across the 9 of their papers we have counts for
4 papers · 2 filters
Convergence of a Hyperbolic Thermodynamically Compatible Finite Volume scheme for the Euler equations
Michael Dumbser, Mária Lukáčová-Medvid'ová, Andrea Thomann
We study the convergence of a novel family of thermodynamically compatible schemes for hyperbolic systems (HTC schemes) in the framework of dissipative weak solutions, applied to t…
A first-order hyperbolic reformulation of the Cahn-Hilliard equation
Firas Dhaouadi, Michael Dumbser, Sergey Gavrilyuk
In this paper we present a new first-order hyperbolic reformulation of the Cahn-Hilliard equation. The model is obtained from the combination of augmented Lagrangian techniques pro…
An asymptotic-preserving and exactly mass-conservative semi-implicit scheme for weakly compressible flows based on compatible finite elements
Enrico Zampa, Michael Dumbser
We present a novel asymptotic-preserving semi-implicit finite element method for weakly compressible and incompressible flows based on compatible finite element spaces. The momentu…
An exactly curl-free finite-volume scheme for a hyperbolic compressible barotropic two-phase model
Laura Río-Martín, Firas Dhaouadi, Michael Dumbser
We present a new second order accurate structure-preserving finite volume scheme for the solution of the compressible barotropic two-phase model of Romenski et. al in multiple spac…