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A new methodology for anisotropic mesh refinement based upon error gradients

Apel, T., Grosman, S., Jimack, P.K. and Meyer, A. (2004) A new methodology for anisotropic mesh refinement based upon error gradients. Applied Numerical Mathematics, 50 (3-4). pp. 329-341. ISSN 0168-9274

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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.

Item Type: Article
Copyright, Publisher and Additional Information: © 2004 IMACS. This is an author produced version of a paper published in 'Applied Numerical Mathematics'.
Keywords: Anisotropic refinement, A posteriori error estimation, Finite element method
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.apnum.2004.01.006
Status: Published
Publisher: Elsevier B.V.
Refereed: Yes
Identification Number: 10.1016/j.apnum.2004.01.006
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/1757

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