Journal article
Finite element approximation of elliptic homogenization problems in nondivergence-form
- Abstract:
- We use uniform W2,p estimates to obtain corrector results for periodic homogenization problems of the form A(x/ε) : D2uε = f subject to a homogeneous Dirichlet boundary condition. We propose and rigorously analyze a numerical scheme based on finite element approximations for such nondivergence-form homogenization problems. The second part of the paper focuses on the approximation of the corrector and numerical homogenization for the case of nonuniformly oscillating coefficients. Numerical experiments demonstrate the performance of the scheme.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, 1.1MB, Terms of use)
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- Publisher copy:
- 10.1051/m2an/2019093
Authors
- Publisher:
- EDP Sciences
- Journal:
- ESAIM: Mathematical Modelling and Numerical Analysis More from this journal
- Volume:
- 54
- Issue:
- 4
- Pages:
- 1221-1257
- Publication date:
- 2020-06-16
- Acceptance date:
- 2019-12-18
- DOI:
- EISSN:
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1290-3841
- ISSN:
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0764-583X
- Language:
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English
- Keywords:
- Pubs id:
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pubs:1010765
- UUID:
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uuid:76f3da12-91d8-4eac-afa5-df42d04dff1d
- Local pid:
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pubs:1010765
- Source identifiers:
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1010765
- Deposit date:
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2019-10-12
Terms of use
- Copyright holder:
- Capdeboscq et al.
- Copyright date:
- 2020
- Rights statement:
- © The Authors. Published by EDP Sciences, SMAI 2020. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Licence:
- CC Attribution (CC BY)
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