{"id":"https://openalex.org/W1972352449","doi":"https://doi.org/10.1137/040604315","title":"Convergence Analysis of the Perfectly Matched Layer Problems for Time-Harmonic Maxwell's Equations","display_name":"Convergence Analysis of the Perfectly Matched Layer Problems for Time-Harmonic Maxwell's Equations","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1972352449","doi":"https://doi.org/10.1137/040604315","mag":"1972352449"},"language":"en","primary_location":{"id":"doi:10.1137/040604315","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040604315","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018497995","display_name":"Gang Bao","orcid":"https://orcid.org/0000-0003-1591-8095"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gang Bao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5034214957","display_name":"Haijun Wu","orcid":"https://orcid.org/0000-0003-1787-5973"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Haijun Wu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8712,"has_fulltext":false,"cited_by_count":89,"citation_normalized_percentile":{"value":0.84699944,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"43","issue":"5","first_page":"2121","last_page":"2143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":1.0,"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":1.0,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.8508908152580261},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.7099429965019226},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6989980340003967},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.688258707523346},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6021086573600769},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.5229250192642212},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.4971487820148468},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38884851336479187},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.2782020568847656},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.254611611366272},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.15163883566856384}],"concepts":[{"id":"https://openalex.org/C16895185","wikidata":"https://www.wikidata.org/wiki/Q15101726","display_name":"Perfectly matched layer","level":3,"score":0.8508908152580261},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.7099429965019226},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6989980340003967},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.688258707523346},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6021086573600769},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.5229250192642212},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.4971487820148468},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38884851336479187},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.2782020568847656},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.254611611366272},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.15163883566856384},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/040604315","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040604315","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W177735991","https://openalex.org/W1523113578","https://openalex.org/W1977794655","https://openalex.org/W2002363316","https://openalex.org/W2003017040","https://openalex.org/W2008720207","https://openalex.org/W2014890000","https://openalex.org/W2016720639","https://openalex.org/W2019681354","https://openalex.org/W2026170640","https://openalex.org/W2039139026","https://openalex.org/W2057817591","https://openalex.org/W2064660626","https://openalex.org/W2124628021","https://openalex.org/W2142273149","https://openalex.org/W2318529973","https://openalex.org/W4251375806","https://openalex.org/W4297575314"],"related_works":["https://openalex.org/W2092725680","https://openalex.org/W2140920265","https://openalex.org/W2140378706","https://openalex.org/W2166079320","https://openalex.org/W3036888220","https://openalex.org/W2076325944","https://openalex.org/W2963721135","https://openalex.org/W1972352449","https://openalex.org/W2020595250","https://openalex.org/W2804965244"],"abstract_inverted_index":{"This":[0],"paper":[1,48],"is":[2,32,49,101],"concerned":[3],"with":[4],"convergence":[5,99],"analysis":[6],"of":[7,46,59,65],"the":[8,18,27,35,47,57,60,66,77,83,89,94,108,113],"perfectly":[9],"matched":[10],"layer":[11,96],"(PML)":[12],"problem":[13,38,62],"in":[14,74,112],"spherical":[15],"coordinates":[16],"for":[17,106],"three-dimensional":[19],"electromagnetic":[20,115],"scattering.":[21],"Under":[22],"some":[23],"simple":[24],"assumptions":[25],"on":[26],"PML":[28,37,68,78,90,95,109],"medium":[29,91,110],"parameter,":[30],"it":[31],"shown":[33],"that":[34,64,76],"truncated":[36,67],"attains":[39],"a":[40],"unique":[41],"solution.":[42],"The":[43,70,98],"main":[44],"result":[45,100],"to":[50,82,103],"establish":[51],"an":[52],"explicit":[53],"error":[54,71],"estimate":[55,72],"between":[56],"solution":[58,79,85],"scattering":[61,84,116],"and":[63],"problem.":[69],"implies,":[73],"particular,":[75],"converges":[80],"exponentially":[81],"by":[86],"increasing":[87],"either":[88],"parameter":[92,111],"or":[93],"thickness.":[97],"expected":[102],"be":[104],"useful":[105],"determining":[107],"computational":[114],"problems.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-16T13:24:37.021932","created_date":"2025-10-10T00:00:00"}