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Article: Temporal splitting algorithms for non-stationary multiscale problems

TitleTemporal splitting algorithms for non-stationary multiscale problems
Authors
KeywordsGMsFEM
Multiscale
Porous media
Splitting
Three-layer
Issue Date2021
Citation
Journal of Computational Physics, 2021, v. 439, article no. 110375 How to Cite?
AbstractIn this paper, we study temporal splitting algorithms for multiscale problems. The exact fine-grid spatial problems typically require some reduction in degrees of freedom. Multiscale algorithms are designed to represent the fine-scale details on a coarse grid and, thus, reduce the problems' size. When solving time-dependent problems, one can take advantage of the multiscale decomposition of the solution and perform temporal splitting by solving smaller-dimensional problems, which is studied in the paper. In the proposed approach, we consider the temporal splitting based on various low dimensional spatial approximations. Because a multiscale spatial splitting gives a “good” decomposition of the solution space, one can achieve an efficient implicit-explicit temporal discretization. We present a recently developed theoretical result in [15] and adopt in this paper for multiscale problems. Numerical results are presented to demonstrate the efficiency of the proposed splitting algorithm.
Persistent Identifierhttp://hdl.handle.net/10722/327678
ISSN
2023 Impact Factor: 3.8
2023 SCImago Journal Rankings: 1.679
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorEfendiev, Yalchin-
dc.contributor.authorPun, Sai Mang-
dc.contributor.authorVabishchevich, Petr N.-
dc.date.accessioned2023-04-12T04:05:00Z-
dc.date.available2023-04-12T04:05:00Z-
dc.date.issued2021-
dc.identifier.citationJournal of Computational Physics, 2021, v. 439, article no. 110375-
dc.identifier.issn0021-9991-
dc.identifier.urihttp://hdl.handle.net/10722/327678-
dc.description.abstractIn this paper, we study temporal splitting algorithms for multiscale problems. The exact fine-grid spatial problems typically require some reduction in degrees of freedom. Multiscale algorithms are designed to represent the fine-scale details on a coarse grid and, thus, reduce the problems' size. When solving time-dependent problems, one can take advantage of the multiscale decomposition of the solution and perform temporal splitting by solving smaller-dimensional problems, which is studied in the paper. In the proposed approach, we consider the temporal splitting based on various low dimensional spatial approximations. Because a multiscale spatial splitting gives a “good” decomposition of the solution space, one can achieve an efficient implicit-explicit temporal discretization. We present a recently developed theoretical result in [15] and adopt in this paper for multiscale problems. Numerical results are presented to demonstrate the efficiency of the proposed splitting algorithm.-
dc.languageeng-
dc.relation.ispartofJournal of Computational Physics-
dc.subjectGMsFEM-
dc.subjectMultiscale-
dc.subjectPorous media-
dc.subjectSplitting-
dc.subjectThree-layer-
dc.titleTemporal splitting algorithms for non-stationary multiscale problems-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jcp.2021.110375-
dc.identifier.scopuseid_2-s2.0-85105318822-
dc.identifier.volume439-
dc.identifier.spagearticle no. 110375-
dc.identifier.epagearticle no. 110375-
dc.identifier.eissn1090-2716-
dc.identifier.isiWOS:000655595000005-

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