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The performance of Bank-Weiser's error estimator for quadrilateral finite elements

✍ Scribed by Mark Ainsworth

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
563 KB
Volume
10
Category
Article
ISSN
0749-159X

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✦ Synopsis

The error estimator proposed by Bank and Weiser is analyzed in the case of degree p finite element approximations on quadrilateral meshes. It is shown that the scheme is asymptotically exact in the energy norm for regular solutions provided that the degree of approximation is of odd order and the elements are rectangles. Perhaps surprisingly, the hypotheses are necessary, as counterexamples show.

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