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

Christine Bernardi; Rüdiger Verfürth

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2004)

  • Volume: 38, Issue: 3, page 437-455
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Bernardi, Christine, and Verfürth, Rüdiger. "A posteriori error analysis of the fully discretized time-dependent Stokes equations." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 38.3 (2004): 437-455. <http://eudml.org/doc/245777>.

@article{Bernardi2004,
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.},
author = {Bernardi, Christine, Verfürth, Rüdiger},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {time-dependent Stokes equations; a posteriori error estimates; backward Euler scheme; finite elements},
language = {eng},
number = {3},
pages = {437-455},
publisher = {EDP-Sciences},
title = {A posteriori error analysis of the fully discretized time-dependent Stokes equations},
url = {http://eudml.org/doc/245777},
volume = {38},
year = {2004},
}

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 - Modélisation Mathématique et Analyse Numérique
PY - 2004
PB - EDP-Sciences
VL - 38
IS - 3
SP - 437
EP - 455
AB - 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.
LA - eng
KW - time-dependent Stokes equations; a posteriori error estimates; backward Euler scheme; finite elements
UR - http://eudml.org/doc/245777
ER -

References

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