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Averaging techniques for reliable and efficient a posteriori finite element error control : analysis and applications.

Carstensen, C. and Jensen, M. (2005) 'Averaging techniques for reliable and efficient a posteriori finite element error control : analysis and applications.', in Recent advances in adaptive computation. Providence, RI: American Mathematical Society, pp. 15-34. Contemporary mathematics. (383).

Abstract

Local averaging techniques, which are used to postprocess discrete flux or stress approximations of low-order finite element schemes for elliptic boundary value problems, are applied for error control and adaptive mesh refinement. We put particular emphasis on the explicit calculation of all constants, arising in the proofs of reliability and efficiency, in terms of the known data and quantify the equivalence of local averaging techniques. We highlight and discuss a wide selection of applications for which averaging-based estimators provide highly accurate error control.

Item Type:Book chapter
Full text:PDF - Published Version (245Kb)
Status:Peer-reviewed
Publisher Web site:http://www.oup.com/uk/catalogue/?ci=9780821836620
Publisher statement:First published in "Contemporary mathematics" in 2005 (383) published by the American Mathematical Society.
Record Created:24 Jul 2007
Last Modified:21 Oct 2010 15:03

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