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Article: Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using Non-Local Multi-Continuum method (NLMC)

TitleUpscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using Non-Local Multi-Continuum method (NLMC)
Authors
KeywordsPerforated domain
Constrained energy minimization
Non-local multicontinuum method
Non-homogeneous boundary condition
Upscaling
Issue Date2019
Citation
Journal of Computational and Applied Mathematics, 2019, v. 357, p. 215-227 How to Cite?
AbstractIn this paper, we present an upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations. Our methodology is based on the recently developed Non-local multicontinuum method (NLMC). The main ingredient of the method is the construction of suitable local basis functions with the capability of capturing multiscale features and non-local effects. We will construct multiscale basis functions for the coarse regions and additional multiscale basis functions for perforations, with the aim of handling non-homogeneous boundary conditions on perforations. We start with describing our method for the Laplace equation, and then extending the framework for the elasticity problem and parabolic equations. The resulting upscaled model has minimal size and the solution has physical meaning on the coarse grid. We will present numerical results (1) for steady and unsteady problems, (2) for Laplace and Elastic operators, and (3) for Neumann and Robin non-homogeneous boundary conditions on perforations. Numerical results show that the proposed method can provide good accuracy and provide significant reduction on the degrees of freedoms.
Persistent Identifierhttp://hdl.handle.net/10722/303598
ISSN
2020 Impact Factor: 2.621
2020 SCImago Journal Rankings: 0.876
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorVasilyeva, Maria-
dc.contributor.authorChung, Eric T.-
dc.contributor.authorLeung, Wing Tat-
dc.contributor.authorWang, Yating-
dc.contributor.authorSpiridonov, Denis-
dc.date.accessioned2021-09-15T08:25:38Z-
dc.date.available2021-09-15T08:25:38Z-
dc.date.issued2019-
dc.identifier.citationJournal of Computational and Applied Mathematics, 2019, v. 357, p. 215-227-
dc.identifier.issn0377-0427-
dc.identifier.urihttp://hdl.handle.net/10722/303598-
dc.description.abstractIn this paper, we present an upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations. Our methodology is based on the recently developed Non-local multicontinuum method (NLMC). The main ingredient of the method is the construction of suitable local basis functions with the capability of capturing multiscale features and non-local effects. We will construct multiscale basis functions for the coarse regions and additional multiscale basis functions for perforations, with the aim of handling non-homogeneous boundary conditions on perforations. We start with describing our method for the Laplace equation, and then extending the framework for the elasticity problem and parabolic equations. The resulting upscaled model has minimal size and the solution has physical meaning on the coarse grid. We will present numerical results (1) for steady and unsteady problems, (2) for Laplace and Elastic operators, and (3) for Neumann and Robin non-homogeneous boundary conditions on perforations. Numerical results show that the proposed method can provide good accuracy and provide significant reduction on the degrees of freedoms.-
dc.languageeng-
dc.relation.ispartofJournal of Computational and Applied Mathematics-
dc.subjectPerforated domain-
dc.subjectConstrained energy minimization-
dc.subjectNon-local multicontinuum method-
dc.subjectNon-homogeneous boundary condition-
dc.subjectUpscaling-
dc.titleUpscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using Non-Local Multi-Continuum method (NLMC)-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.cam.2019.02.030-
dc.identifier.scopuseid_2-s2.0-85062824298-
dc.identifier.volume357-
dc.identifier.spage215-
dc.identifier.epage227-
dc.identifier.isiWOS:000465168400014-

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