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

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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.


33 citations in Web of Science®
35 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
Deposited On:29 Nov 2010 16:29
Last Modified:27 Nov 2013 21:53
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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