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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:
URI: http://eprints.whiterose.ac.uk/id/eprint/1758

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