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- Publisher Website: 10.1016/j.cam.2020.113327
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Article: Convergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains
Title | Convergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains |
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Authors | |
Keywords | Multiscale methods Perforated domains Stokes flow |
Issue Date | 2021 |
Citation | Journal of Computational and Applied Mathematics, 2021, v. 389, article no. 113327 How to Cite? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/327676 |
ISSN | 2023 Impact Factor: 2.1 2023 SCImago Journal Rankings: 0.858 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chung, Eric | - |
dc.contributor.author | Hu, Jiuhua | - |
dc.contributor.author | Pun, Sai Mang | - |
dc.date.accessioned | 2023-04-12T04:04:59Z | - |
dc.date.available | 2023-04-12T04:04:59Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Journal of Computational and Applied Mathematics, 2021, v. 389, article no. 113327 | - |
dc.identifier.issn | 0377-0427 | - |
dc.identifier.uri | http://hdl.handle.net/10722/327676 | - |
dc.description.abstract | In 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.language | eng | - |
dc.relation.ispartof | Journal of Computational and Applied Mathematics | - |
dc.subject | Multiscale methods | - |
dc.subject | Perforated domains | - |
dc.subject | Stokes flow | - |
dc.title | Convergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.cam.2020.113327 | - |
dc.identifier.scopus | eid_2-s2.0-85098936109 | - |
dc.identifier.volume | 389 | - |
dc.identifier.spage | article no. 113327 | - |
dc.identifier.epage | article no. 113327 | - |
dc.identifier.isi | WOS:000614704900009 | - |