3 papers
math.NA2026
Analysis and structure-preserving discretization of the Heat-GLM system
Firas Dhaouadi, Laura Río-Martín, Michael Dumbser
In this paper, we study a prototype hyperbolic system arising from the coupling of Generalized-Lagrangian-Multiplier (GLM) curl-cleaning with linear acoustics. We first show that,…
math.NA2024
Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics
Saray Busto, Laura Río-Martín
We present a new hybrid semi-implicit finite volume / finite element numerical scheme for the solution of incompressible and weakly compressible media. From the continuum mechanics…
math.NA2024
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…