Year: 2011
Author: Liping Liu, Kevin B. Davies, Michal Křížek, Guan Li
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 2 : pp. 131–140
Abstract
In this paper we first prove a theorem on the nonexistence of pyramidal polynomial basis functions. Then we present a new symmetric composite pyramidal finite element which yields a better convergence than the nonsymmetric one. It has fourteen degrees of freedom and its basis functions are incomplete piecewise triquadratic polynomials. The space of ansatz functions contains all quadratic functions on each of four sub-tetrahedra that form a given pyramidal element.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.09-m0989
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 2 : pp. 131–140
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Pyramidal polynomial basis functions finite element method composite elements three-dimensional mortar elements.
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