Locally optimal unstructured finite element meshes in 3 dimensions

Mahmood, R. and Jimack, P.K. (2004) Locally optimal unstructured finite element meshes in 3 dimensions. Computers & Structures, 82 (23-26). pp. 2105-2116. ISSN 0045-7949

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Abstract

This paper investigates the adaptive finite element solution of a general class of variational problems in three dimensions using a combination of node movement, edge swapping, face swapping and node insertion. The adaptive strategy proposed is a generalization of previous work in two dimensions and is based upon the construction of a hierarchy of locally optimal meshes.

Results presented, both for a single equation and a system of coupled equations, suggest that this approach is able to produce better meshes of tetrahedra than those obtained by more conventional adaptive strategies and in a relatively efficient manner.

Item Type:	Article
Copyright, Publisher and Additional Information:	© 2004 Civil-Comp Ltd. and Elsevier Ltd. This is an author produced version of a paper published in 'Computers & Structures".
Keywords:	Finite elements, Variational problems, Mesh optimization, Tetrahedral elements, Node movement, Edge swapping, Node insertion
Academic Units:	The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
Depositing User:	Repository Assistant
Date Deposited:	13 Dec 2006
Last Modified:	08 Feb 2013 17:03
Published Version:	http://dx.doi.org/10.1016/j.compstruc.2003.07.008
Status:	Published
Publisher:	Elsevier Ltd.
Refereed:	Yes
Identification Number:	10.1016/j.compstruc.2003.07.008
Related URLs:	http://www.comp.leeds.ac.uk/pkj/publicat...
URI:	http://eprints.whiterose.ac.uk/id/eprint/1758

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