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Article: Convergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains

TitleConvergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains
Authors
KeywordsMultiscale methods
Perforated domains
Stokes flow
Issue Date2021
Citation
Journal of Computational and Applied Mathematics, 2021, v. 389, article no. 113327 How to Cite?
AbstractIn this paper, we consider the incompressible Stokes flow problem in a perforated domain and employ the constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) to solve this problem. The proposed method provides a flexible and systematical approach to construct crucial divergence-free multiscale basis functions for approximating the velocity field. These basis functions are constructed by solving a class of local energy minimization problems over the eigenspaces that contain local information on the heterogeneities. These multiscale basis functions are shown to have the property of exponential decay outside the corresponding local oversampling regions. By adopting the technique of oversampling, the spectral convergence of the method with error bounds related to the coarse mesh size is proved.
Persistent Identifierhttp://hdl.handle.net/10722/327676
ISSN
2023 Impact Factor: 2.1
2023 SCImago Journal Rankings: 0.858
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChung, Eric-
dc.contributor.authorHu, Jiuhua-
dc.contributor.authorPun, Sai Mang-
dc.date.accessioned2023-04-12T04:04:59Z-
dc.date.available2023-04-12T04:04:59Z-
dc.date.issued2021-
dc.identifier.citationJournal of Computational and Applied Mathematics, 2021, v. 389, article no. 113327-
dc.identifier.issn0377-0427-
dc.identifier.urihttp://hdl.handle.net/10722/327676-
dc.description.abstractIn this paper, we consider the incompressible Stokes flow problem in a perforated domain and employ the constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) to solve this problem. The proposed method provides a flexible and systematical approach to construct crucial divergence-free multiscale basis functions for approximating the velocity field. These basis functions are constructed by solving a class of local energy minimization problems over the eigenspaces that contain local information on the heterogeneities. These multiscale basis functions are shown to have the property of exponential decay outside the corresponding local oversampling regions. By adopting the technique of oversampling, the spectral convergence of the method with error bounds related to the coarse mesh size is proved.-
dc.languageeng-
dc.relation.ispartofJournal of Computational and Applied Mathematics-
dc.subjectMultiscale methods-
dc.subjectPerforated domains-
dc.subjectStokes flow-
dc.titleConvergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.cam.2020.113327-
dc.identifier.scopuseid_2-s2.0-85098936109-
dc.identifier.volume389-
dc.identifier.spagearticle no. 113327-
dc.identifier.epagearticle no. 113327-
dc.identifier.isiWOS:000614704900009-

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