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Polynomial basis functions on pyramidal elements

โœ Scribed by Bluck, M. J. ;Walker, S. P.

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
117 KB
Volume
24
Category
Article
ISSN
1069-8299

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โœฆ Synopsis

Abstract

Pyramidal elements are necessary to effect the transition from tetrahedral to hexahedral elements, a common requirement in practical finite element applications. However, existing pyramidal transition elements suffer from degeneracy or other numerical difficulties, requiring, at the least, warnings and care in their use. This paper presents a general technique for the construction of nodal basis functions on pyramidal finite elements. General forms for basis functions of arbitrary order are presented. The basis functions so derived are fully conformal and free of degeneracy. Copyright ยฉ 2007 John Wiley & Sons, Ltd.

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