107 citations · 250 across the 39 of their papers we have counts for
4 papers · 1 filter
Convergence of discrete duality finite volume schemes for the cardiac bidomain model
Boris Andreianov, Mostafa Bendahmane, Kenneth H. Karlsen +1
We prove convergence of discrete duality finite volume (DDFV) schemes on distorted meshes for a class of simplified macroscopic bidomain models of the electrical activity in the he…
solutions for a model of polytropic gas flow with diffusive entropy
Hermano Frid, Helge Holden, Kenneth H. Karlsen
We establish the global existence of solutions for a model of polytropic gas flow with diffusive entropy. The result is obtained by showing the convergence of a class of…
A strongly degenerate parabolic aggregation equation
Fernando Betancourt, Raimund Bürger, Kenneth H. Karlsen
This paper is concerned with a strongly degenerate convection-diffusion equation in one space dimension whose convective flux involves a non-linear function of the total mass to on…
The discontinuous Galerkin method for fractional degenerate convection-diffusion equations
Simone Cifani, Espen R. Jakobsen, Kenneth H. Karlsen
We propose and study discontinuous Galerkin methods for strongly degenerate convection-diffusion equations perturbed by a fractional diffusion (Lévy) operator. We prove various sta…