13th International Workshop on Variational Multiscale and Stabilized Finite Elemements (VMS 18) - Abstract

Knobloch, Petr

Algebraic flux correction and the discrete maximum principle

The aim of this talk is to discuss properties of algebraic flux correction (AFC) schemes, in particular, applied to convection-diffusion-reaction equations, but also in general. A special attention will be paid to conditions assuring the validity of the discrete maximum principle (DMP) which will be compared also with those used for analyzing other nonlinear stabilization techniques. Several examples of limiters used in AFC schemes will be presented and the validity of the DMP will be investigated. Numerical results will illustrate the theoretical considerations.
This is a joint work with G.R. Barrenechea (Glasgow) and V. John (Berlin).