A posteriori error estimators for the Stokes equations |
| |
Authors: | Verfürth R. |
| |
Affiliation: | (1) Institut für Angewandte Mathematik, Universität Zürich, Rämistrasse 74, CH-8001 Zürich, Switzerland |
| |
Abstract: | Summary We present two a posteriori error estimators for the mini-element discretization of the Stokes equations. One is based on a suitable evaluation of the residual of the finite element solution. The other one is based on the solution of suitable local Stokes problems involving the residual of the finite element solution. Both estimators are globally upper and locally lower bounds for the error of the finite element discretization. Numerical examples show their efficiency both in estimating the error and in controlling an automatic, self-adaptive mesh-refinement process. The methods presented here can easily be generalized to the Navier-Stokes equations and to other discretization schemes.This work was accomplished at the Universität Heidelberg with the support of the Deutsche Forschungsgemeinschaft |
| |
Keywords: | AMS(MOS) 65N15, 65N30, 76D05 CR: G1.8 |
本文献已被 SpringerLink 等数据库收录! |
|