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Adjoint and defect error bounding and correction for functional estimates

Abstract:

We present two error estimation approaches for bounding or correcting the error in functional estimates such as lift or drag. Adjoint methods quantify the error in a particular output functional that results from residual errors in approximating the solution to the partial differential equation. Defect methods can be used to bound or reduce the error in the entire solution, with corresponding improvements to functional estimates. Both approaches rely on smooth solution reconstructions and may...

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Publication status:
Published

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Publisher copy:
10.1016/j.jcp.2004.05.001

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
JOURNAL OF COMPUTATIONAL PHYSICS
Volume:
200
Issue:
2
Pages:
769-794
Publication date:
2004-11-01
DOI:
ISSN:
0021-9991
Source identifiers:
29024
Language:
English
Keywords:
Pubs id:
pubs:29024
UUID:
uuid:c60021be-2402-4859-8942-7846e1b99ede
Local pid:
pubs:29024
Deposit date:
2012-12-19

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