AMaSiS 2021 - Abstract

Chainais-Hillairet, Claire

Linear/nonlinear approaches for the approximation of convection-diffusion equations

Université de Lille, France

In this talk, I will introduce three numerical schemes for anisotropic convection-diffusion equations. They are hybrid finite volume schemes applicable on general meshes; two of them are linear schemes while the third one is nonlinear. I will discuss the well-posedness of the schemes and their long-time behavior. Numerical experiments will highlight the main properties of the schemes.
It is a joint work with M. Herda, S. Lemaire and J. Moatti.