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A hierarchical finite element method based on the partition of unity

✍ Scribed by Robert L. Taylor; O.C. Zienkiewicz; E. Oñate

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
789 KB
Volume
152
Category
Article
ISSN
0045-7825

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✦ Synopsis

In this paper we consider the application of hierarchical functions to base approximations which are a partition of unity. The particular hierarchical functions used are added to base finite element interpolations which, for Co approximations, are a particular case of the partition of unity. We also show how the functions may be constructed to preserve the interpolation property of the base finite element functions. An application to linear elasticity is used to illustrate the properties and stability of the approximation.

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