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A posteriori error analysis of the fully discretized time-dependent Stokes equations

Published online by Cambridge University Press:  15 June 2004

Christine Bernardi  and
Rüdiger Verfürth
Christine Bernardi
Affiliation:
Laboratoire Jacques-Louis Lions, CNRS & Université Pierre et Marie Curie, BC 187, 4 place Jussieu, 75252 Paris Cedex 05, France. bernardi@ann.jussieu.fr.
Rüdiger Verfürth
Affiliation:
Ruhr-Universität Bochum, Fakultät für Mathematik, 44780 Bochum, Germany. rv@num1.ruhr-uni-bochum.de.
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Abstract

The time-dependent Stokes equations in two- or three-dimensional bounded domains are discretized by the backward Euler scheme in time and finite elements in space. The error of this discretization is bounded globally from above and locally from below by the sum of two types of computable error indicators, the first one being linked to the time discretization and the second one to the space discretization.

Keywords

Time-dependent Stokes equationsa posteriori error estimatesbackward Euler schemefinite elements.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 38 , Issue 3 , May 2004 , pp. 437 - 455
Copyright
© EDP Sciences, SMAI, 2004

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