| Issue |
ESAIM: M2AN
Volume 38, Number 3, May-June 2004
|
|
|---|---|---|
| Page(s) | 437 - 455 | |
| DOI | https://doi.org/10.1051/m2an:2004021 | |
| Published online | 15 June 2004 | |
A posteriori error analysis of the fully discretized time-dependent Stokes equations
1
Laboratoire Jacques-Louis Lions,
CNRS & Université Pierre et Marie Curie, BC 187, 4
place Jussieu, 75252 Paris Cedex 05, France. bernardi@ann.jussieu.fr.
2
Ruhr-Universität Bochum, Fakultät für Mathematik, 44780 Bochum, Germany. rv@num1.ruhr-uni-bochum.de.
Received:
10
February
2003
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.
Mathematics Subject Classification: 65N30 / 65N15 / 65J15
Key words: Time-dependent Stokes equations / a posteriori error estimates / backward Euler scheme / finite elements.
© EDP Sciences, SMAI, 2004
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