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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.
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.
| 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 |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | December 2013 |
| Deposited On: | 27 Dec 2013 13:00 |
| Last Modified: | 10 Sep 2024 01:38 |
| Publisher: | Elsevier |
| ISSN: | 1631-073X |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1016/j.crma.2013.10.025 |
Repin, Sergey I