Cut FEM meets Finite Differences

Abstract: There is a cut-FEM methodology with ghost penalty stabilization, which can be applied to hyperbolic conservation laws. This technique is useful when considering problems with complex geometric features. Explicit time-stepping is preferable for hyperbolic problems, but even the standard DG and CG metods suffer from increasingly severe time-step restrictions as the order of the method increases. For high order finite difference methods the time-step restriction is not at all as severe. In this talk we will explore possibilities of applying the cut-FEM methodology to finite difference methods. The goal is to formulate a finite difference method that can be seen as a Galerkin method. Applying the cut-FEM methodology will then yield an immersed boundary finite difference metod.

numerical analysisoptimization and control

Audience: researchers in the topic

CAM seminar

Series comments: Online streaming via zoom on exceptional cases if requested. Please contact the organizers at the latest Monday 11:45.