File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1137/19M1267180
- WOS: WOS:000736125400007
- Find via
Supplementary
-
Citations:
- Web of Science: 0
- Appears in Collections:
Article: Wavelet-based edge multiscale finite element method for helmholtz problems in perforated domains
Title | Wavelet-based edge multiscale finite element method for helmholtz problems in perforated domains |
---|---|
Authors | |
Keywords | multiscale method Helmholtz equation perforated domain wavelet-based edge multiscale finite element method high frequency |
Issue Date | 2021 |
Publisher | Society 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? |
Abstract | We 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 Identifier | http://hdl.handle.net/10722/309158 |
ISSN | 2023 Impact Factor: 1.9 2023 SCImago Journal Rankings: 1.028 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Fu, S | - |
dc.contributor.author | Li, G | - |
dc.contributor.author | Craster, R | - |
dc.contributor.author | Guenneau, S | - |
dc.date.accessioned | 2021-12-14T01:41:19Z | - |
dc.date.available | 2021-12-14T01:41:19Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Multiscale Modeling & Simulation, 2021, v. 19 n. 4, p. 684-1709 | - |
dc.identifier.issn | 1540-3459 | - |
dc.identifier.uri | http://hdl.handle.net/10722/309158 | - |
dc.description.abstract | We 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.language | eng | - |
dc.publisher | Society 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.ispartof | Multiscale 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.subject | multiscale method | - |
dc.subject | Helmholtz equation | - |
dc.subject | perforated domain | - |
dc.subject | wavelet-based edge multiscale finite element method | - |
dc.subject | high frequency | - |
dc.title | Wavelet-based edge multiscale finite element method for helmholtz problems in perforated domains | - |
dc.type | Article | - |
dc.identifier.email | Li, G: lotusli@hku.hk | - |
dc.identifier.authority | Li, G=rp02705 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1137/19M1267180 | - |
dc.identifier.hkuros | 330743 | - |
dc.identifier.volume | 19 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | 684 | - |
dc.identifier.epage | 1709 | - |
dc.identifier.isi | WOS:000736125400007 | - |
dc.publisher.place | United States | - |