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A multilevel approach for obtaining locally optimal finite element meshes

Jimack, P.K., Mahmood, R., Walkley, M.A. and Berzins, M. (2002) A multilevel approach for obtaining locally optimal finite element meshes. Advances in Engineering Software, 33 (7-10). pp. 403-415. ISSN 0965-9978

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In this paper we consider the adaptive finite element solution of a general class of variational problems using a combination of node insertion, node movement and edge swapping. The adaptive strategy that is proposed is based upon the construction of a hierarchy of locally optimal meshes starting with a coarse grid for which the location and connectivity of the nodes is optimized.

This grid is then locally refined and the new mesh is optimized in the same manner. Results presented indicate that this approach is able to produce better meshes than those possible by more conventional adaptive strategies and in a relatively efficient manner.

Item Type: Article
Copyright, Publisher and Additional Information: © 2002 Civil-Comp Ltd and Elsevier Science Ltd. This is an author produced version of a paper published in 'Advances in Engineering Software'
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
Depositing User: Repository Assistant
Date Deposited: 21 Nov 2006
Last Modified: 06 Jun 2014 03:05
Published Version: http://dx.doi.org/10.1016/S0965-9978(02)00077-7
Status: Published
Publisher: Elsevier Ltd.
Refereed: Yes
Identification Number: 10.1016/S0965-9978(02)00077-7
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/1735

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