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Adaptive selection of polynomial degrees on a finite element mesh

✍ Scribed by E. Bertóti; B. Szabó

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
132 KB
Volume
42
Category
Article
ISSN
0029-5981

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✦ Synopsis

The problem of ÿnding a nearly optimal distribution of polynomial degrees on a ÿxed ÿnite element mesh is discussed. An a posteriori error estimator based on the minimum complementary energy principle is proposed which utilizes the displacement vector ÿeld computed from the ÿnite element solution. This estimator, designed for p-and hp-extensions, is conceptually di erent from estimators based on residuals or patch recovery which are designed for h-extension procedures. The quality of the error estimator is demonstrated by examples. The results show that the e ectivity index is reasonably close to unity and the sequences of p-distributions obtained with the error indicators closely follow the optimal trajectory. ?

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