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Hierarchic finite element bases on unstructured tetrahedral meshes
Author(s) -
Ainsworth Mark,
Coyle Joe
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.847
Subject(s) - tetrahedron , curvilinear coordinates , polygon mesh , finite element method , discretization , curl (programming language) , mathematics , computer science , geometry , mathematical analysis , structural engineering , engineering , programming language
The problem of constructing hierarchic bases for finite element discretization of the spaces H 1 , H ( curl ), H ( div ) and L 2 on tetrahedral elements is addressed. A simple and efficient approach to ensuring conformity of the approximations across element interfaces is described. Hierarchic bases of arbitrary polynomial order are presented. It is shown how these may be used to construct finite element approximations of arbitrary, non‐uniform, local order approximation on unstructured meshes of curvilinear tetrahedral elements. Copyright © 2003 John Wiley & Sons, Ltd.