no. 3
A posteriori error analysis of the fully discretized time-dependent Stokes equations
ESAIM: Modélisation mathématique et analyse numérique, Tome 38 (2004) no. 3, pp. 437-455

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.

DOI : 10.1051/m2an:2004021
Classification : 65N30, 65N15, 65J15
Keywords: time-dependent Stokes equations, a posteriori error estimates, backward Euler scheme, finite elements 
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     author = {Bernardi, Christine and Verf\"urth, R\"udiger},
     title = {A posteriori error analysis of the fully discretized time-dependent {Stokes} equations},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {437--455},
     year = {2004},
     publisher = {EDP Sciences},
     volume = {38},
     number = {3},
     doi = {10.1051/m2an:2004021},
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     zbl = {1079.76042},
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Bernardi, Christine; Verfürth, Rüdiger. A posteriori error analysis of the fully discretized time-dependent Stokes equations. ESAIM: Modélisation mathématique et analyse numérique, Tome 38 (2004) no. 3, pp. 437-455. doi: 10.1051/m2an:2004021

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