Numerical simulation of gas flow in porous media is becoming increasingly attractive due to
its importance in shale and natural gas production and carbon dioxide sequestration. In this …

We study a two-point flux approximation finite volume scheme for a cross-diffusion system.
The scheme is shown to preserve the key properties of the continuous systems, among …

A dynamic mass-transport method is proposed for approximately solving the Poisson–
Nernst–Planck (PNP) equations. The semi-discrete scheme based on the JKO type …

The aim of this work is to propose a provably convergent finite volume scheme for the so-
called Stefan–Maxwell model, which describes the evolution of the composition of a multi …

We present a natural framework for constructing energy-stable time discretization schemes.
By leveraging the Onsager principle, we demonstrate its efficacy in formulating partial …

In this paper we propose and study an implicit finite volume scheme for a general model
which describes the evolution of the composition of a multi-component mixture in a bounded …

Dans cette thèse, on s' intéresse à la modélisation et à l'analyse numérique de systèmes
physiques à diffusion croisée. Les modèles considérés décrivent notamment les …

A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Page 1
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Nelson …