Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/56893
Type: Artigo de periódico
Title: Construction of shape functions for the h- and p-versions of the FEM using tensorial product
Author: Bittencourt, ML
Vazquez, MG
Vazquez, TG
Abstract: This paper presents an uniform and unified approach to construct h- and p-shape functions for quadrilaterals, triangles, hexahedral and tetrahedral based on the tensorial product of one-dimensional Lagrange and Jacobi polynomials. The approach uses indices to denote the one-dimensional polynomials in each tensorization direction. The appropriate manipulation of the indices allows to obtain hierarchical or nonhierarchical and inter-element C-0 continuous or non-continuous bases. For the one-dimensional elements, quadrilaterals, triangles and hexahedral, the optimal weights of the Jacobi polynomials are determined, the sparsity profiles of the local mass and stiffness matrices plotted and the condition numbers calculated. A brief discussion of the use of sum factorization and computational implementation is considered. Copyright (C) 2006 John Wiley & Sons, Ltd.
Subject: finite element method
tensorization
shape functions
Lagrange polynomials
Jacobi polynomials
sum factorization
Country: Inglaterra
Editor: John Wiley & Sons Ltd
Rights: fechado
Identifier DOI: 10.1002/nme.1955
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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