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

Novo, Julia

0:Symmetric pressure stabilization for equal order finite element approximations to the

Non inf-sup stable finite element approximations to the incompressible Navier--Stokes equations based on equal order spaces for velocity and pressure are studied in this paper. To account for the violation of the discrete inf-sup condition, different types of symmetric pressure stabilization terms are considered. It is shown in the numerical analysis that these terms also stabilize dominating convection in the following sense: error bounds with constants independent of inverse powers of the viscosity are derived.