32 citations · 230 across the 18 of their papers we have counts for
6 papers · 1 filter
Un metodo adaptativo para el modelo Bidominio en electrocardiologia
Mostafa Bendahmane, Raimund Bürger, Ricardo Ruiz Baier
This paper presents a finite-volume method, together with fully adaptive multi-resolution scheme to obtain spatial adaptation, and a Runge-Kutta-Fehlberg scheme with a local time-v…
On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding
Mostafa Bendahmane, Raimund Brger, Ricardo Ruiz Baier +1
This paper addresses the existence and regularity of weak solutions for a fully parabolic model of chemotaxis, with prevention of overcrowding, that degenerates in a two-sided fash…
Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems
Mostafa Bendahmane, Raimund Bürger, Ricardo Ruiz Baier +1
We present a fully adaptive multiresolution scheme for spatially two-dimensional, possibly degenerate reaction-diffusion systems, focusing on combustion models and models of patter…
A multiresolution space-time adaptive scheme for the bidomain model in electrocardiology
Mostafa Bendahmane, Raimund Bürger, Ricardo Ruiz Baier
This work deals with the numerical solution of the monodomain and bidomain models of electrical activity of myocardial tissue. The bidomain model is a system consisting of a possib…
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux
Raimund Bürger, Ricardo Ruiz Baier, Mauricio Sepúlveda +1
A fully adaptive finite volume multiresolution scheme for one-dimensional strongly degenerate parabolic equations with discontinuous flux is presented. The numerical scheme is base…
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension
Raimund Bürger, Ricardo Ruiz Baier, Mauricio Sepúlveda +1
We present a fully adaptive multiresolution scheme for spatially one-dimensional quasilinear strongly degenerate parabolic equations with zero-flux and periodic boundary conditions…