Title

A mixed finite element method for the stokes equations based on a weakly over-penalized symmetric interior penalty approach

Document Type

Article

Publication Date

2-1-2014

Abstract

We present a mixed finite element method for the steady-state Stokes equations where the discrete bilinear form for the velocity is obtained by a weakly over-penalized symmetric interior penalty approach. We show that this mixed finite element method is inf-sup stable and has optimal convergence rates in both the energy norm and the L 2 norm on meshes that can contain hanging nodes. We present numerical experiments illustrating these results, explore a very simple adaptive algorithm that uses meshes with hanging nodes, and introduce a simple but scalable parallel solver for the method. © 2013 Springer Science+Business Media New York.

Publication Source (Journal or Book title)

Journal of Scientific Computing

First Page

290

Last Page

307

This document is currently not available here.

Share

COinS