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A posteriori error majorants of the modeling errors for elliptic homogenization problems


Repin, Sergey I; Samrowski, Tatiana S; Sauter, Stefan A (2013). A posteriori error majorants of the modeling errors for elliptic homogenization problems. Comptes Rendus Mathematique, 351(23-24):877-882.

Abstract

In this paper, we derive new two-sided a posteriori estimates of the modeling errors for linear elliptic boundary value problems with periodic coefficients solved by homogenization. Our approach is based on the concept of functional a posteriori error estimation. The estimates are obtained for the energy norm and use solely the global flux of the non-oscillatory solution of the homogenized model and solution of a boundary value problem on the cell of periodicity.

Abstract

In this paper, we derive new two-sided a posteriori estimates of the modeling errors for linear elliptic boundary value problems with periodic coefficients solved by homogenization. Our approach is based on the concept of functional a posteriori error estimation. The estimates are obtained for the energy norm and use solely the global flux of the non-oscillatory solution of the homogenized model and solution of a boundary value problem on the cell of periodicity.

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2 citations in Web of Science®
3 citations in Scopus®
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Additional indexing

Other titles:Majorations a posteriori de lʼerreur de modélisation de problèmes elliptiques homogénéisés
Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:December 2013
Deposited On:27 Dec 2013 13:00
Last Modified:05 Apr 2016 17:17
Publisher:Elsevier
ISSN:1631-073X
Publisher DOI:https://doi.org/10.1016/j.crma.2013.10.025

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