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A posteriori error estimators for the Stokes equations II non-conforming discretizations


Verfürth, R (1991). A posteriori error estimators for the Stokes equations II non-conforming discretizations. Numerische Mathematik, 60(2):235-249.

Abstract

We present an a posteriori error estimator for the non-conforming Crouzeix-Raviart discretization of the Stokes equations which is based on the local evaluation of residuals with respect to the strong form of the differential equation. The error estimator yields global upper and local lower bounds for the error of the finite element solution. It can easily be generalized to the stationary, incompressible Navier-Stokes equations and to other non-conforming finite element methods. Numerical examples show the efficiency of the proposed error estimator.

We present an a posteriori error estimator for the non-conforming Crouzeix-Raviart discretization of the Stokes equations which is based on the local evaluation of residuals with respect to the strong form of the differential equation. The error estimator yields global upper and local lower bounds for the error of the finite element solution. It can easily be generalized to the stationary, incompressible Navier-Stokes equations and to other non-conforming finite element methods. Numerical examples show the efficiency of the proposed error estimator.

Citations

33 citations in Web of Science®
36 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1991
Deposited On:29 Nov 2010 16:29
Last Modified:05 Apr 2016 13:29
Publisher:Springer
ISSN:0029-599X
Free access at:Related URL. An embargo period may apply.
Publisher DOI:10.1007/BF01385723
Related URLs:http://www.digizeitschriften.de/dms/img/?PPN=PPN362160546_0060&DMDID=dmdlog16

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