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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.
@article{M2AN_2004__38_3_437_0,
author = {Bernardi, Christine and Verf\"urth, R\"udiger},
title = {A posteriori error analysis of the fully discretized time-dependent {Stokes} equations},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {437--455},
publisher = {EDP-Sciences},
volume = {38},
number = {3},
year = {2004},
doi = {10.1051/m2an:2004021},
mrnumber = {2075754},
zbl = {1079.76042},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2004021/}
}
TY - JOUR AU - Bernardi, Christine AU - Verfürth, Rüdiger TI - A posteriori error analysis of the fully discretized time-dependent Stokes equations JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2004 SP - 437 EP - 455 VL - 38 IS - 3 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2004021/ DO - 10.1051/m2an:2004021 LA - en ID - M2AN_2004__38_3_437_0 ER -
%0 Journal Article %A Bernardi, Christine %A Verfürth, Rüdiger %T A posteriori error analysis of the fully discretized time-dependent Stokes equations %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2004 %P 437-455 %V 38 %N 3 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2004021/ %R 10.1051/m2an:2004021 %G en %F M2AN_2004__38_3_437_0
Bernardi, Christine; Verfürth, Rüdiger. A posteriori error analysis of the fully discretized time-dependent Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 38 (2004) no. 3, pp. 437-455. doi: 10.1051/m2an:2004021
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