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A posteriori error estimation for the semidiscrete finite element method of parabolic differential equations

✍ Scribed by I. Babuška; S. Ohnimus

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
332 KB
Volume
190
Category
Article
ISSN
0045-7825

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✦ Synopsis

In this paper, three a posteriori error estimators of the error in the semidiscrete ®nite element solution (discrete in space and continuous in time) of parabolic partial dierential equations are analyzed. This approach is based on a posteriori error estimators for the elliptic PDEs. It is proven that guaranteed (resp. asymptotically exact) a posteriori error estimator for the elliptic problem yields the guaranteed (resp. asymptotically exact) estimator for the parabolic problem.

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