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Guaranteed and locally computable a posteriori error estimate

Abstract:

A new approach, based on the combination of the equilibrated residual method and the method of hypercircle, is proposed for a posteriori error estimation. Computer implementation of the equilibrated residual method is fast, but it does not produce guaranteed estimates. On the other hand, the method of hypercircle delivers guaranteed estimates, but it is not fast because it involves solving a global linear algebraic system. The combination of these two methods leads to guaranteed and locally c...

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Publisher copy:
10.1093/imanum/dri043
Journal:
IMA Journal of Numerical Analysis More from this journal
Volume:
26
Issue:
3
Pages:
525-540
Publication date:
2006-07-01
DOI:
EISSN:
1464-3642
ISSN:
0272-4979
Language:
English
Keywords:
Pubs id:
pubs:398200
UUID:
uuid:d6258b13-c020-436b-8d0a-be3caf63d6ce
Local pid:
pubs:398200
Source identifiers:
398200
Deposit date:
2013-11-16

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