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

Full text available as:

Preview

Text jimackp31_AGJM03.pdf Available under License : See the attached licence file. Download (697Kb)

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:	http://www.comp.leeds.ac.uk/pkj/publicat...
URI:	http://eprints.whiterose.ac.uk/id/eprint/1757

Actions (login required)

View Item