# Asymptotic Behavior of systems of PDE arising in physics and biology: theoretical and numerical points of view (ABPDE II)

15-17 June 2016
Europe/Paris timezone

## Numerical convergence rate for the diffusive limit of the p-system with damping

15 Jun 2016, 17:05
35m
Salle de Réunion - Bâtiment M2 ()

### Speaker

Hélène Mathis (Laboratoire de Mathématiques Jean Leray)

### Description

We are interested in the study of the diffusive limit of the $p$-system with damping and its approximation by an Asymptotic Preserving (AP) Finite Volume scheme. Provided the system is endowed with an entropy-entropy flux pair, we give the convergence rate of classical solutions of the p-system with damping towards the smooth solutions of the porous media equation using a relative entropy method. Adopting a semi-discrete scheme, we establish that the convergence rate is preserved by the approximated solutions. Several numerical experiments illustrate the relevance of this result.

### Presentation Materials

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