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Averaging Techniques for Reliable and Efficient A Posteriori Finite Element Error Control: Analysis and Applications

Carstensen, Carsten; Jensen, Max

Averaging Techniques for Reliable and Efficient A Posteriori Finite Element Error Control: Analysis and Applications Thumbnail


Authors

Carsten Carstensen

Max Jensen



Contributors

Z.-C. Shi
Editor

Z. Chen
Editor

T. Tang
Editor

D. Yu
Editor

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.

Citation

Carstensen, C., & Jensen, M. (2005). Averaging Techniques for Reliable and Efficient A Posteriori Finite Element Error Control: Analysis and Applications. In Z. Shi, Z. Chen, T. Tang, & D. Yu (Eds.), Recent advances in adaptive computation (15-34). American Mathematical Society

Publication Date Dec 1, 2005
Deposit Date Jul 24, 2007
Publicly Available Date Jul 24, 2007
Publisher American Mathematical Society
Pages 15-34
Series Title Contemporary mathematics
Book Title Recent advances in adaptive computation.
Publisher URL http://www.oup.com/uk/catalogue/?ci=9780821836620
Additional Information Series: Contemporary Mathematics ; 383.

Files

Published Book Chapter (251 Kb)
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Copyright Statement
First published in "Contemporary mathematics" in 2005 (383) published by the American Mathematical Society.





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