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- Publisher Website: 10.1016/j.cam.2014.11.038
- Scopus: eid_2-s2.0-84937125797
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Article: A generalized multiscale finite element method for the Brinkman equation
Title | A generalized multiscale finite element method for the Brinkman equation |
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Authors | |
Keywords | Brinkman equation Mixed finite element Generalized multiscale finite element method |
Issue Date | 2015 |
Citation | Journal of Computational and Applied Mathematics, 2015, v. 280, n. 1, p. 294-309 How to Cite? |
Abstract | © 2014 Elsevier B.V. All rights reserved. In this paper we consider the numerical upscaling of the Brinkman equation in the presence of high-contrast permeability fields. We develop and analyze a robust and efficient Generalized Multiscale Finite Element Method (GMsFEM) for the Brinkman model in two dimensions. In the fine grid, we use mixed finite element method with the velocity and pressure being continuous piecewise quadratic and piecewise constant finite element spaces, respectively. Using the GMsFEM framework we construct suitable coarse-scale spaces for the velocity and pressure that yield a robust mixed GMsFEM. We develop a novel approach to construct a coarse approximation for the velocity snapshot space and a robust small offline space for the velocity space. The stability of the mixed GMsFEM and a priori error estimates are derived. A variety of two-dimensional numerical examples are presented to illustrate the effectiveness of the algorithm. |
Persistent Identifier | http://hdl.handle.net/10722/286909 |
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 | Galvis, Juan | - |
dc.contributor.author | Li, Guanglian | - |
dc.contributor.author | Shi, Ke | - |
dc.date.accessioned | 2020-09-07T11:45:59Z | - |
dc.date.available | 2020-09-07T11:45:59Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Journal of Computational and Applied Mathematics, 2015, v. 280, n. 1, p. 294-309 | - |
dc.identifier.issn | 0377-0427 | - |
dc.identifier.uri | http://hdl.handle.net/10722/286909 | - |
dc.description.abstract | © 2014 Elsevier B.V. All rights reserved. In this paper we consider the numerical upscaling of the Brinkman equation in the presence of high-contrast permeability fields. We develop and analyze a robust and efficient Generalized Multiscale Finite Element Method (GMsFEM) for the Brinkman model in two dimensions. In the fine grid, we use mixed finite element method with the velocity and pressure being continuous piecewise quadratic and piecewise constant finite element spaces, respectively. Using the GMsFEM framework we construct suitable coarse-scale spaces for the velocity and pressure that yield a robust mixed GMsFEM. We develop a novel approach to construct a coarse approximation for the velocity snapshot space and a robust small offline space for the velocity space. The stability of the mixed GMsFEM and a priori error estimates are derived. A variety of two-dimensional numerical examples are presented to illustrate the effectiveness of the algorithm. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of Computational and Applied Mathematics | - |
dc.subject | Brinkman equation | - |
dc.subject | Mixed finite element | - |
dc.subject | Generalized multiscale finite element method | - |
dc.title | A generalized multiscale finite element method for the Brinkman equation | - |
dc.type | Article | - |
dc.description.nature | link_to_OA_fulltext | - |
dc.identifier.doi | 10.1016/j.cam.2014.11.038 | - |
dc.identifier.scopus | eid_2-s2.0-84937125797 | - |
dc.identifier.volume | 280 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 294 | - |
dc.identifier.epage | 309 | - |
dc.identifier.isi | WOS:000349196800021 | - |
dc.identifier.issnl | 0377-0427 | - |