Leibniz MMS Days 2020 - Abstract

Frerichs, Derk

A pressure-robust Virtual Element Method for the Stokes problem

Virtual Element Methods (VEMs) are a quite new technique for solving partial differential equations on almost arbitrary polyhedral geometries. They allow for instance for an easier decompositions of the geometry, robustness with respect to distortion and an inherent handling of hanging nodes. This talk will present the basic ideas of VEMs and a common known Virtual Element Method for the Stokes problem. Afterwards we will establish a new pressure-robust version allowing for accurate approximations of the Stokes problem even in case of small viscosities.