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Article: Wavelet-based edge multiscale finite element method for helmholtz problems in perforated domains

TitleWavelet-based edge multiscale finite element method for helmholtz problems in perforated domains
Authors
Fu, SLi, GCraster, RGuenneau, S
Keywordsmultiscale method
Helmholtz equation
perforated domain
wavelet-based edge multiscale finite element method
high frequency
Issue Date2021
PublisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at https://www.siam.org/Publications/Journals/Multiscale-Modeling-and-Simulation-A-SIAM-Interdisciplinary-Journal-MMS
Citation
Multiscale Modeling & Simulation, 2021, v. 19 n. 4, p. 684-1709 How to Cite?
DOI: http://dx.doi.org/10.1137/19M1267180
AbstractWe introduce a new efficient algorithm for Helmholtz problems in perforated domains with the design of the scheme allowing for possibly large wavenumbers. Our method is based upon the wavelet-based edge multiscale finite element method as proposed recently in [S. Fu, E. Chung, and G. Li, J. Comput. Phys., 396 (2019), pp. 228--242]. For a regular coarse mesh with mesh size H, we establish O(H) convergence of this algorithm under the resolution assumption with the level parameter being sufficiently large. The performance of the algorithm is demonstrated by extensive 2-dimensional numerical tests including those motivated by photonic crystals.
Persistent Identifierhttp://hdl.handle.net/10722/309158
ISSN
1540-3459
2021 Impact Factor: 1.961
2020 SCImago Journal Rankings: 1.037
ISI Accession Number ID
WOS:000736125400007

 

DC FieldValueLanguage
dc.contributor.authorFu, S-
dc.contributor.authorLi, G-
dc.contributor.authorCraster, R-
dc.contributor.authorGuenneau, S-
dc.date.accessioned2021-12-14T01:41:19Z-
dc.date.available2021-12-14T01:41:19Z-
dc.date.issued2021-
dc.identifier.citationMultiscale Modeling & Simulation, 2021, v. 19 n. 4, p. 684-1709-
dc.identifier.issn1540-3459-
dc.identifier.urihttp://hdl.handle.net/10722/309158-
dc.description.abstractWe introduce a new efficient algorithm for Helmholtz problems in perforated domains with the design of the scheme allowing for possibly large wavenumbers. Our method is based upon the wavelet-based edge multiscale finite element method as proposed recently in [S. Fu, E. Chung, and G. Li, J. Comput. Phys., 396 (2019), pp. 228--242]. For a regular coarse mesh with mesh size H, we establish O(H) convergence of this algorithm under the resolution assumption with the level parameter being sufficiently large. The performance of the algorithm is demonstrated by extensive 2-dimensional numerical tests including those motivated by photonic crystals.-
dc.languageeng-
dc.publisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at https://www.siam.org/Publications/Journals/Multiscale-Modeling-and-Simulation-A-SIAM-Interdisciplinary-Journal-MMS-
dc.relation.ispartofMultiscale Modeling & Simulation-
dc.rights© [year] Society for Industrial and Applied Mathematics. First Published in [Publication] in [volume and number, or year], published by the Society for Industrial and Applied Mathematics (SIAM).-
dc.subjectmultiscale method-
dc.subjectHelmholtz equation-
dc.subjectperforated domain-
dc.subjectwavelet-based edge multiscale finite element method-
dc.subjecthigh frequency-
dc.titleWavelet-based edge multiscale finite element method for helmholtz problems in perforated domains-
dc.typeArticle-
dc.identifier.emailLi, G: lotusli@hku.hk-
dc.identifier.authorityLi, G=rp02705-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1137/19M1267180-
dc.identifier.hkuros330743-
dc.identifier.volume19-
dc.identifier.issue4-
dc.identifier.spage684-
dc.identifier.epage1709-
dc.identifier.isiWOS:000736125400007-
dc.publisher.placeUnited States-

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