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Accounting for stability: a posteriori error estimates based on residuals and variational analysis

✍ Scribed by Estep, Donald ;Holst, Michael ;Mikulencak, Duane

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
993 KB
Volume
18
Category
Article
ISSN
1069-8299

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✦ Synopsis

Abstract

A posteriori error estimates have had a major impact on adaptive error control for the finite element method. In this paper, we review a relatively new approach to a posteriori error estimation based on residuals and a variational analysis. This approach is distinguished by a direct attempt to account for the effects of stability on the propagation of error. We illustrate properties of this approach using several examples. Copyright Β© 2001 John Wiley & Sons, Ltd.

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