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Article: Online basis construction for goal-oriented adaptivity in the generalized multiscale finite element method

TitleOnline basis construction for goal-oriented adaptivity in the generalized multiscale finite element method
Authors
KeywordsFlow in heterogeneous media
Goal-oriented adaptivity
Multiscale finite element method
Online basis construction
Issue Date2019
Citation
Journal of Computational Physics, 2019, v. 393, p. 59-73 How to Cite?
AbstractIn this research, we develop an online enrichment framework for goal-oriented adaptivity within the generalized multiscale finite element method for flow problems in heterogeneous media. The method for approximating the quantity of interest involves construction of residual-based primal and dual basis functions used to enrich the multiscale space at each stage of the adaptive algorithm. Three different online enrichment strategies based on the primal-dual online basis construction are proposed: standard, primal-dual combined and primal-dual product based. Numerical experiments are performed to illustrate the efficiency of the proposed methods for high-contrast heterogeneous problems.
Persistent Identifierhttp://hdl.handle.net/10722/327673
ISSN
2023 Impact Factor: 3.8
2023 SCImago Journal Rankings: 1.679
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChung, Eric-
dc.contributor.authorPollock, Sara-
dc.contributor.authorPun, Sai Mang-
dc.date.accessioned2023-04-12T04:04:58Z-
dc.date.available2023-04-12T04:04:58Z-
dc.date.issued2019-
dc.identifier.citationJournal of Computational Physics, 2019, v. 393, p. 59-73-
dc.identifier.issn0021-9991-
dc.identifier.urihttp://hdl.handle.net/10722/327673-
dc.description.abstractIn this research, we develop an online enrichment framework for goal-oriented adaptivity within the generalized multiscale finite element method for flow problems in heterogeneous media. The method for approximating the quantity of interest involves construction of residual-based primal and dual basis functions used to enrich the multiscale space at each stage of the adaptive algorithm. Three different online enrichment strategies based on the primal-dual online basis construction are proposed: standard, primal-dual combined and primal-dual product based. Numerical experiments are performed to illustrate the efficiency of the proposed methods for high-contrast heterogeneous problems.-
dc.languageeng-
dc.relation.ispartofJournal of Computational Physics-
dc.subjectFlow in heterogeneous media-
dc.subjectGoal-oriented adaptivity-
dc.subjectMultiscale finite element method-
dc.subjectOnline basis construction-
dc.titleOnline basis construction for goal-oriented adaptivity in the generalized multiscale finite element method-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jcp.2019.05.009-
dc.identifier.scopuseid_2-s2.0-85065747273-
dc.identifier.volume393-
dc.identifier.spage59-
dc.identifier.epage73-
dc.identifier.eissn1090-2716-
dc.identifier.isiWOS:000470685600004-

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