3 papers
math.NA2025
Asymptotic preserving schemes for hyperbolic systems with relaxation
C Mahmoud, H Mathis
This paper presents the construction of two numerical schemes for the solution of hyperbolic systems with relaxation source terms. The methods are built by considering the relaxati…
math.NA2024
Relative Entropy for the Numerical Diffusive Limit of the Linear Jin-Xin System
Marianne Bessemoulin-Chatard, Hélène Mathis
This paper deals with the diffusive limit of the Jin and Xin model and its approximation by an asymptotic preserving finite volume scheme. At the continuous level, we determine a c…
math.AP2023
Derivation of a two-phase flow model accounting for surface tension
Hélène Mathis
This paper addresses the derivation of a two-phase flow model accounting for surface tension effects, by means of the Stationary Action Principle (SAP). The Lagrangian functional,…