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A new methodology for anisotropic mesh refinement based upon error gradients

By T. Apel, S. Grosman, P.K. Jimack and A. Meyer

Abstract

We introduce a new strategy for controlling the use of anisotropic mesh refinement based upon the gradients of an a posteriori approximation of the error in a computed finite element solution. The efficiency of this strategy is demonstrated using a simple anisotropic mesh adaption algorithm and the quality of a number of potential a posteriori error estimates is considered

Publisher: Elsevier B.V.
Year: 2004
OAI identifier: oai:eprints.whiterose.ac.uk:1757

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