A posteriori error estimates for a multi-scale finite-element method

被引：0
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作者：
Khallih Ahmed Blal
Brahim Allam
Zoubida Mghazli
机构：
[1] Higher Institute of Accounting and Business Administration,Multidisciplinary Research Unit in Computer Science and Applied Mathematics
[2] Ibn Tofaïl University,Interdisciplinary Laboratory in Natural Resources and Environment (LIRNE), Faculty of Sciences
来源：
Computational and Applied Mathematics | 2021年 / 40卷
关键词：
Finite element; Multi-scale finite-element method; error estimates; Error indicators; 65N30; 65N50;
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摘要：
We are interested in the discretization of a diffusion problem with highly oscillating coefficient, by a multi-scale finite-element method (MsFEM). The objective of this method is to capture the multi-scale structure of the solution via local basis functions which contain the essential information on small scales. In this paper, we perform an a posteriori analysis of this discretization. The main result consists of building error indicators with respect to both small and large meshes used in this method. We present a numerical test in which the experiments are in good coherency with the results of analysis.
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