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

Christine Bernardi; Rüdiger Verfürth

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • 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 38.3 (2010): 437-455. <http://eudml.org/doc/194222>.

@article{Bernardi2010,
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},
keywords = {Time-dependent Stokes equations; a posteriori error estimates; backward Euler scheme; finite elements.; finite elements},
language = {eng},
month = {3},
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/194222},
volume = {38},
year = {2010},
}

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
DA - 2010/3//
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.; finite elements
UR - http://eudml.org/doc/194222
ER -

References

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Citations in EuDML Documents

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  1. Rafaela Guberovic, Christoph Schwab, Rob Stevenson, Space-time variational saddle point formulations of Stokes and Navier–Stokes equations
  2. J. R. Fernández, D. Santamarina, An a posteriori error analysis for dynamic viscoelastic problems
  3. J. R. Fernández, D. Santamarina, An error analysis for dynamic viscoelastic problems
  4. Serge Nicaise, Nadir Soualem, A posteriori error estimates for a nonconforming finite element discretization of the heat equation
  5. Serge Nicaise, Nadir Soualem, error estimates for a nonconforming finite element discretization of the heat equation

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