5 citations · 5 across the 9 of their papers we have counts for
4 papers · 1 filter
A new local and explicit kinetic method for linear and non-linear convection-diffusion problems with finite kinetic speeds: II. Multi-dimensional case
Gauthier Wissocq, Rémi Abgrall
We extend to multi-dimensions the work of [1], where new fully explicit kinetic methods were built for the approximation of linear and non-linear convection-diffusion problems. The…
Active flux for triangular meshes for compressible flows problems
Rémi Abgrall, Jianfang Lin, Yongle Liu
In this article, we show how to construct a numerical method for solving hyperbolic problems, whether linear or nonlinear, using a continuous representation of the variables and th…
A new local and explicit kinetic method for linear and non-linear convection-diffusion problems with finite kinetic speeds: I. One-dimensional case
Gauthier Wissocq, Rémi Abgrall
We propose a numerical approach, of the BGK kinetic type, that is able to approximate with a given, but arbitrary, order of accuracy the solution of linear and non-linear convectio…
A semi-discrete Active Flux method for the Euler equations on Cartesian grids
Rémi Abgrall, Wasilij Barsukow, Christian Klingenberg
Active Flux is an extension of the Finite Volume method and additionally incorporates point values located at cell boundaries. This gives rise to a globally continuous approximatio…