{"id":"https://openalex.org/W2531046642","doi":"https://doi.org/10.1137/17m1112510","title":"Perfectly Matched Layer Boundary Integral Equation Method for Wave Scattering in a Layered Medium","display_name":"Perfectly Matched Layer Boundary Integral Equation Method for Wave Scattering in a Layered Medium","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2531046642","doi":"https://doi.org/10.1137/17m1112510","mag":"2531046642"},"language":"en","primary_location":{"id":"doi:10.1137/17m1112510","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1112510","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1610.03589","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103100844","display_name":"Wangtao Lu","orcid":"https://orcid.org/0000-0003-2227-702X"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wangtao Lu","raw_affiliation_strings":["Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007660306","display_name":"Ya Yan Lu","orcid":"https://orcid.org/0000-0002-2448-114X"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ya Yan Lu","raw_affiliation_strings":["Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013248904","display_name":"Jianliang Qian","orcid":"https://orcid.org/0000-0003-3058-0096"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jianliang Qian","raw_affiliation_strings":["Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA","institution_ids":["https://openalex.org/I87216513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0475,"has_fulltext":true,"cited_by_count":31,"citation_normalized_percentile":{"value":0.77539531,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"78","issue":"1","first_page":"246","last_page":"265"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10262","display_name":"Microwave Engineering and Waveguides","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/perfectly-matched-layer","display_name":"Perfectly matched layer","score":0.7081922888755798},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.7079817056655884},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6703469753265381},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6674764752388},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6048017740249634},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5639601349830627},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.5383601784706116},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5267219543457031},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4156757891178131},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4047289192676544},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21880826354026794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15861573815345764},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.1492566168308258}],"concepts":[{"id":"https://openalex.org/C16895185","wikidata":"https://www.wikidata.org/wiki/Q15101726","display_name":"Perfectly matched layer","level":3,"score":0.7081922888755798},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.7079817056655884},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6703469753265381},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6674764752388},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6048017740249634},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5639601349830627},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.5383601784706116},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5267219543457031},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4156757891178131},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4047289192676544},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21880826354026794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15861573815345764},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.1492566168308258},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/17m1112510","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1112510","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1610.03589","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1610.03589","pdf_url":"https://arxiv.org/pdf/1610.03589","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":null,"raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:publications/fac15898-e683-487e-a1ce-22865966fd21","is_oa":true,"landing_page_url":"https://hdl.handle.net/2031/fac15898-e683-487e-a1ce-22865966fd21","pdf_url":null,"source":{"id":"https://openalex.org/S7407055387","display_name":"CityU Scholars","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"LU, W, LU, Y Y & QIAN, J 2018, 'Perfectly matched layer boundary integral equation method for wave scattering in a layered medium', SIAM Journal on Applied Mathematics, vol. 78, no. 1, pp. 246-265. https://doi.org/10.1137/17M1112510","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1610.03589","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1610.03589","pdf_url":"https://arxiv.org/pdf/1610.03589","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1343106133","display_name":null,"funder_award_id":"1614566","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4218700841","display_name":null,"funder_award_id":"11301914","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G5217264605","display_name":null,"funder_award_id":"1522249","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309893","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23"},{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"},{"id":"https://openalex.org/F4320322927","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W121021244","https://openalex.org/W1490180844","https://openalex.org/W1520664314","https://openalex.org/W1523113578","https://openalex.org/W1582734821","https://openalex.org/W1602383637","https://openalex.org/W1618779158","https://openalex.org/W1880210412","https://openalex.org/W1976596985","https://openalex.org/W1994751539","https://openalex.org/W2002872627","https://openalex.org/W2003017040","https://openalex.org/W2003646019","https://openalex.org/W2004682900","https://openalex.org/W2008720207","https://openalex.org/W2013472019","https://openalex.org/W2016742165","https://openalex.org/W2023327559","https://openalex.org/W2028838862","https://openalex.org/W2035238652","https://openalex.org/W2045896579","https://openalex.org/W2048334425","https://openalex.org/W2073440181","https://openalex.org/W2074326410","https://openalex.org/W2075458281","https://openalex.org/W2108470252","https://openalex.org/W2114781883","https://openalex.org/W2114939476","https://openalex.org/W2124628021","https://openalex.org/W2133858981","https://openalex.org/W2138768304","https://openalex.org/W2147056396","https://openalex.org/W2170585064","https://openalex.org/W2217579649","https://openalex.org/W2224779109","https://openalex.org/W2349468399","https://openalex.org/W2949620584","https://openalex.org/W2963205522","https://openalex.org/W2963681630","https://openalex.org/W3046457476","https://openalex.org/W4205215424","https://openalex.org/W4250418068","https://openalex.org/W4292027041","https://openalex.org/W4302596684"],"related_works":["https://openalex.org/W2479815380","https://openalex.org/W2145453501","https://openalex.org/W2184067990","https://openalex.org/W2146869663","https://openalex.org/W2368008598","https://openalex.org/W2187730484","https://openalex.org/W2127522370","https://openalex.org/W4296912953","https://openalex.org/W2377307493","https://openalex.org/W2133690079"],"abstract_inverted_index":{"For":[0,31],"scattering":[1,32],"problems":[2,33],"of":[3,45],"time-harmonic":[4],"waves,":[5],"the":[6,46,52,61,80,96,117,125,132,141,151,158],"boundary":[7,133],"integral":[8,68,134],"equation":[9],"(BIE)":[10],"methods":[11,40,58,113],"are":[12,17,74,104,153,163],"highly":[13],"competitive":[14],"since":[15,79,140],"they":[16],"formulated":[18],"on":[19,42,60,70,83,95],"lower-dimension":[20],"boundaries":[21],"or":[22],"interfaces":[23,72,85],"and":[24,150,169],"can":[25],"automatically":[26],"satisfy":[27],"outgoing":[28,109],"radiation":[29],"conditions.":[30],"in":[34,111,156],"a":[35,91],"layered":[36],"medium,":[37],"standard":[38],"BIE":[39,57,92,122],"based":[41,59,94],"Green's":[43,63,128,144],"function":[44,64,129,145],"background":[47],"medium":[48],"need":[49],"to":[50,67,77,107,130,148,165],"evaluate":[51,149],"expensive":[53],"Sommerfeld":[54],"integrals.":[55],"Alternative":[56],"free-space":[62,127,143],"give":[65],"rise":[66],"equations":[69],"unbounded":[71,159],"which":[73],"not":[75],"easy":[76,147],"truncate":[78],"wave":[81],"fields":[82],"these":[84],"decay":[86],"very":[87,154],"slowly.":[88],"We":[89],"develop":[90],"method":[93,123,137,168],"perfectly":[97],"matched":[98],"layer":[99],"(PML)":[100],"technique.":[101],"The":[102,136],"PMLs":[103,152],"widely":[105],"used":[106],"suppress":[108],"waves":[110],"numerical":[112],"that":[114],"directly":[115],"discretize":[116],"physical":[118],"space.":[119],"Our":[120],"PML-based":[121],"uses":[124],"PML-transformed":[126,142],"define":[131],"operators.":[135],"is":[138,146],"efficient":[139],"effective":[155],"truncating":[157],"interfaces.":[160],"Numerical":[161],"examples":[162],"presented":[164],"validate":[166],"our":[167],"demonstrate":[170],"its":[171],"accuracy.":[172]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2020-11-23T00:00:00"}
