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Mesh shape and anisotropic elements : theory and practice

By Th. Apel, M. Berzins, P.K. Jimack, G. Kunert, A. Plaks, I. Tsukerman and M. Walkley

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

Publisher: Elsevier
Year: 2000
OAI identifier: oai:eprints.whiterose.ac.uk:1869

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