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Error Control in Terms of Linear Functionals Based on Gradient Averaging Techniques

In: Computing Letters
Author:
S. Korotov Institute of Mathematics, Helsinki University of Technology, P. O. Box 1100, Finland

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Online Publication Date:
06 Mar 2007
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We show how commonly used gradient averaging techniques can be successfully applied to estimation of computational errors evaluated by linear (goal-oriented) functionals for linear elliptic type problems. General scheme for construction of corresponding estimators is described and effectivity of the proposed approach is demonstrated in numerical tests.

Title:
Error Control in Terms of Linear Functionals Based on Gradient Averaging Techniques
Article Type:
Research Article
DOI:
https://doi.org/10.1163/157404007779994241
Language:
English
Pages:
35–44
Keywords:
a posteriori error estimation; quantity of interest; finite element method; differential equation of elliptic type; linear elasticity; superconvergence
In:
Computing Letters
In:
Volume 3: Issue 1
Received:
18 Jul 2005
Accepted:
15 Oct 2006
Publisher:
VSP
E-ISSN:
1574-0404
Subjects:
Mathematics & Computer Sciences, Biology

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