Dr. Petr Knobloch (Universität Prag): "Analytical and numerical results for algebraic flux correction schemes"
We consider a nonlinear algebraic flux correction scheme for a general linear boundary value problem in several space dimensions. We prove the existence of a solution and the validity of the discrete maximum principle under mild assumptions on the flux limiters. In addition, we formulate the algebraic flux correction scheme in a variational form and derive an abstract error estimate. Then we present examples of limiters and apply the theory to steady-state linear convection-diffusion-reaction equations. The properties of the method are illustrated by numerical experiments.
Einladender: Herr Braack