Affiliation:
1. Department of Mathematical Sciences University of Delaware Newark Delaware USA
Abstract
AbstractWe show that the discrete velocity solution converges at the optimal order when solving the steady state Stokes equations by the ‐ mixed finite element method for on 2D triangular grids or on tetrahedral grids, even in the case the inf‐sup condition fails. By a simple ‐projection of the discrete pressure to the space of continuous polynomials, we show this post‐processed pressure solution also converges at the optimal order. Both 2D and 3D numerical tests are presented, verifying the theory.
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis