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

Bernardi, Christine; Verfürth, Rüdiger

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.

Classification : 65N30, 65N15, 65J15
Mots clés : time-dependent Stokes equations, a posteriori error estimates, backward Euler scheme, finite elements

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