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Mesh shape and anisotropic elements : theory and practice

Apel, Th., Berzins, M., Jimack, P.K., Kunert, G., Plaks, A., Tsukerman, I. and Walkley, M. (2000) Mesh shape and anisotropic elements : theory and practice. In: The Mathematics of Finite Elements and Applications X : Proceedings of the Tenth Conference on The Mathematics of Finite Elements and Applications (MAFELAP 1999), Middlesex, UK, 22-25 June 1999. Elsevier , Oxford , pp. 367-376. ISBN 0080435688

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Abstract

The relationship between the shape of finite elements in unstructured meshes and the error that results in the numerical solution is of increasing importance as finite elements are used to solve problems with highly anisotropic and, often, very complex solutions. This issue is explored in terms of a priori and a posteriori error estimates, and through consideration of the practical issues associated with assessing element shape quality and implementing an adaptive finite element solver.

Item Type: Book Section
Copyright, Publisher and Additional Information: This is an author produced version of a chapter published in 'The Mathematics of Finite Elements and Applications X : Proceedings of the Tenth Conference on The Mathematics of Finite Elements and Applications (MAFELAP 1999), Middlesex, UK, 22-25 June 1999'.
Keywords: anisotropic finite elements, a priori estimates, a posteriori estimates, element shape, maximum angle condition
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
Depositing User: Repository Officer
Date Deposited: 20 Dec 2006
Last Modified: 05 Jun 2014 10:59
Published Version: http://www.elsevier.com/wps/find/bookdescription.c...
Status: Published
Publisher: Elsevier
Refereed: No
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/1869

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