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time-dependent stokes equations

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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A posteriori error analysis of the fully discretized time-dependent Stokes equations
Christine Bernardi, Rüdiger Verfürth
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 38 / Issue 3 / May 2004

Published online by Cambridge University Press:

15 June 2004, pp. 437-455

Print publication:

May 2004
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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.