{"id":"https://openalex.org/W2951927487","doi":"https://doi.org/10.1137/19m1267180","title":"Wavelet-based Edge Multiscale Finite Element Method for Helmholtz problems in perforated domains","display_name":"Wavelet-based Edge Multiscale Finite Element Method for Helmholtz problems in perforated domains","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W2951927487","doi":"https://doi.org/10.1137/19m1267180","mag":"2951927487"},"language":"en","primary_location":{"id":"doi:10.1137/19m1267180","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1267180","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1906.08453","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009444755","display_name":"Shubin Fu","orcid":"https://orcid.org/0000-0002-6250-0778"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Shubin Fu","raw_affiliation_strings":["CUHK - The Chinese University of Hong Kong [Hong Kong] (Shatin, NT, Hong Kong SAR - China)"],"raw_orcid":"https://orcid.org/0000-0002-6250-0778","affiliations":[{"raw_affiliation_string":"CUHK - The Chinese University of Hong Kong [Hong Kong] (Shatin, NT, Hong Kong SAR - China)","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066860206","display_name":"Guanglian Li","orcid":"https://orcid.org/0000-0003-0615-2681"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Guanglian Li","raw_affiliation_strings":["Department of Mathematics [Imperial College London] (Imperial College London, 180 Queen's Gate, London SW7 2AZ, United Kingdom - United Kingdom)"],"raw_orcid":"https://orcid.org/0000-0003-0615-2681","affiliations":[{"raw_affiliation_string":"Department of Mathematics [Imperial College London] (Imperial College London, 180 Queen's Gate, London SW7 2AZ, United Kingdom - United Kingdom)","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035687670","display_name":"Richard V. Craster","orcid":"https://orcid.org/0000-0001-9799-9639"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Richard Craster","raw_affiliation_strings":["Abraham de Moivre (South Kensington Campus London SW7 2AZ, UK - United Kingdom)","Department of Mathematics [Imperial College London] (Imperial College London, 180 Queen's Gate, London SW7 2AZ, United Kingdom - United Kingdom)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Abraham de Moivre (South Kensington Campus London SW7 2AZ, UK - United Kingdom)","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics [Imperial College London] (Imperial College London, 180 Queen's Gate, London SW7 2AZ, United Kingdom - United Kingdom)","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061052278","display_name":"S\u00e9bastien Guenneau","orcid":"https://orcid.org/0000-0002-5924-622X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sebastien Guenneau","raw_affiliation_strings":["EPSILON - EPSILON (France)","Abraham de Moivre (South Kensington Campus London SW7 2AZ, UK - United Kingdom)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPSILON - EPSILON (France)","institution_ids":[]},{"raw_affiliation_string":"Abraham de Moivre (South Kensington Campus London SW7 2AZ, UK - United Kingdom)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5009444755"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":null,"apc_paid":null,"fwci":1.5141,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.84373042,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"19","issue":"4","first_page":"1684","last_page":"1709"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.7702019214630127},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.7685622572898865},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7301726341247559},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.7288168668746948},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5792793035507202},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.5396722555160522},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5161184072494507},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4817964434623718},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4064698815345764},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.3807483911514282},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36587920784950256},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3617275655269623},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.18418312072753906},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1841506063938141},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1755412518978119},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17299357056617737},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.1051071286201477}],"concepts":[{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.7702019214630127},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.7685622572898865},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7301726341247559},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.7288168668746948},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5792793035507202},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.5396722555160522},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5161184072494507},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4817964434623718},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4064698815345764},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.3807483911514282},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36587920784950256},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3617275655269623},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.18418312072753906},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1841506063938141},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1755412518978119},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17299357056617737},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.1051071286201477},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/19m1267180","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1267180","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1906.08453","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.08453","pdf_url":"https://arxiv.org/pdf/1906.08453","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:HAL:hal-03091949v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03091949","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2020","raw_type":"Preprints, Working Papers, ..."},{"id":"doi:10.48550/arxiv.1906.08453","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1906.08453","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1906.08453","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.08453","pdf_url":"https://arxiv.org/pdf/1906.08453","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320006","display_name":"Royal Society","ror":"https://ror.org/03wnrjx87"},{"id":"https://openalex.org/F4320320283","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W652015463","https://openalex.org/W1943976203","https://openalex.org/W1980404981","https://openalex.org/W1987229383","https://openalex.org/W1990157709","https://openalex.org/W2003017040","https://openalex.org/W2011224005","https://openalex.org/W2011964761","https://openalex.org/W2012029480","https://openalex.org/W2029918260","https://openalex.org/W2030604754","https://openalex.org/W2046641041","https://openalex.org/W2075091665","https://openalex.org/W2078045751","https://openalex.org/W2087828859","https://openalex.org/W2092011174","https://openalex.org/W2098102734","https://openalex.org/W2126028850","https://openalex.org/W2126488759","https://openalex.org/W2128778363","https://openalex.org/W2138940269","https://openalex.org/W2156154693","https://openalex.org/W2528180255","https://openalex.org/W2555859943","https://openalex.org/W2724654368","https://openalex.org/W2788513172","https://openalex.org/W2795835319","https://openalex.org/W2884474317","https://openalex.org/W2895686997","https://openalex.org/W2896248158","https://openalex.org/W2915093494","https://openalex.org/W2963691989","https://openalex.org/W2964040357","https://openalex.org/W3004625791","https://openalex.org/W3100150607","https://openalex.org/W4231453122"],"related_works":["https://openalex.org/W2092968426","https://openalex.org/W2382174632","https://openalex.org/W2540416959","https://openalex.org/W2129959498","https://openalex.org/W2784060934","https://openalex.org/W2902714807","https://openalex.org/W4365420316","https://openalex.org/W3193896743","https://openalex.org/W3176862315","https://openalex.org/W3120022531"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,42],"new":[3],"efficient":[4],"algorithm":[5,56,73],"for":[6,19],"Helmholtz":[7],"problems":[8],"in":[9,39],"perforated":[10],"domains":[11],"with":[12,46,62],"the":[13,16,28,58,63,72],"design":[14],"of":[15,54,71],"scheme":[17],"allowing":[18],"possibly":[20],"large":[21],"wavenumbers.":[22],"Our":[23],"method":[24],"is":[25,74],"based":[26],"upon":[27],"Wavelet-based":[29],"Edge":[30],"Multiscale":[31],"Finite":[32],"Element":[33],"Method":[34],"(WEMsFEM)":[35],"as":[36],"proposed":[37],"recently":[38],"[14].":[40],"For":[41],"regular":[43],"coarse":[44],"mesh":[45,47],"size":[48],"H,":[49],"we":[50],"establish":[51],"O(H)":[52],"convergence":[53],"this":[55],"under":[57],"resolution":[59],"assumption,":[60],"and":[61],"level":[64],"parameter":[65],"being":[66],"sufficiently":[67],"large.":[68],"The":[69],"performance":[70],"demonstrated":[75],"by":[76,84],"extensive":[77],"2-dimensional":[78],"numerical":[79],"tests":[80],"including":[81],"those":[82],"motivated":[83],"photonic":[85],"crystals.":[86]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-07-25T00:00:00"}