{"id":"https://openalex.org/W1974860752","doi":"https://doi.org/10.1137/120866567","title":"Evaluation of 3-D Singular and Nearly Singular Integrals in Galerkin BEM for Thin Layers","display_name":"Evaluation of 3-D Singular and Nearly Singular Integrals in Galerkin BEM for Thin Layers","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1974860752","doi":"https://doi.org/10.1137/120866567","mag":"1974860752"},"language":"en","primary_location":{"id":"doi:10.1137/120866567","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120866567","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5005239480","display_name":"M. Lenoir","orcid":null},"institutions":[{"id":"https://openalex.org/I4210146116","display_name":"POEMS: Propagation des Ondes : Etude Math\u00e9matique et Simulationan","ror":"https://ror.org/03gvm2667","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I1326498283","https://openalex.org/I201181511","https://openalex.org/I4210095849","https://openalex.org/I4210126360","https://openalex.org/I4210126360","https://openalex.org/I4210145102","https://openalex.org/I4210146116","https://openalex.org/I4405254745","https://openalex.org/I4405260730"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Marc Lenoir","raw_affiliation_strings":["Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation"],"affiliations":[{"raw_affiliation_string":"Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation","institution_ids":["https://openalex.org/I4210146116"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076405432","display_name":"Nicolas Salles","orcid":null},"institutions":[{"id":"https://openalex.org/I4210146116","display_name":"POEMS: Propagation des Ondes : Etude Math\u00e9matique et Simulationan","ror":"https://ror.org/03gvm2667","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I1326498283","https://openalex.org/I201181511","https://openalex.org/I4210095849","https://openalex.org/I4210126360","https://openalex.org/I4210126360","https://openalex.org/I4210145102","https://openalex.org/I4210146116","https://openalex.org/I4405254745","https://openalex.org/I4405260730"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicolas Salles","raw_affiliation_strings":["Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation"],"affiliations":[{"raw_affiliation_string":"Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation","institution_ids":["https://openalex.org/I4210146116"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005239480"],"corresponding_institution_ids":["https://openalex.org/I4210146116"],"apc_list":null,"apc_paid":null,"fwci":2.0592,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.84875605,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"34","issue":"6","first_page":"A3057","last_page":"A3078"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9983999729156494,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9976000189781189,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.993399977684021,"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/mathematics","display_name":"Mathematics","score":0.8306436538696289},{"id":"https://openalex.org/keywords/singular-integral","display_name":"Singular integral","score":0.7835845947265625},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.7715156674385071},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.6952121257781982},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5588555932044983},{"id":"https://openalex.org/keywords/volume-integral","display_name":"Volume integral","score":0.5121121406555176},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.49661022424697876},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4964492917060852},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.4637708067893982},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.4385858178138733},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4238697290420532},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3796914517879486},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.22709783911705017},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1327892541885376},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09697717428207397}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8306436538696289},{"id":"https://openalex.org/C92571104","wikidata":"https://www.wikidata.org/wiki/Q888122","display_name":"Singular integral","level":3,"score":0.7835845947265625},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.7715156674385071},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.6952121257781982},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5588555932044983},{"id":"https://openalex.org/C51577431","wikidata":"https://www.wikidata.org/wiki/Q1788036","display_name":"Volume integral","level":3,"score":0.5121121406555176},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.49661022424697876},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4964492917060852},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.4637708067893982},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.4385858178138733},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4238697290420532},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3796914517879486},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.22709783911705017},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1327892541885376},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09697717428207397},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/120866567","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120866567","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00969175v1","is_oa":false,"landing_page_url":"https://ensta.hal.science/hal-00969175","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":"SIAM Journal on Scientific Computing, 2012, 36, pp.3057-3078. ⟨10.1137/120866567⟩","raw_type":"Journal articles"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:1422218","is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/1422218/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"   SIAM Journal on Scientific Computing , 34  (6)     (2012)      ","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1970763227","https://openalex.org/W1977213552","https://openalex.org/W2080523506","https://openalex.org/W2127570421","https://openalex.org/W2146579172","https://openalex.org/W2169211246"],"related_works":["https://openalex.org/W4365420316","https://openalex.org/W2735258363","https://openalex.org/W2369806658","https://openalex.org/W3193896743","https://openalex.org/W3176862315","https://openalex.org/W3120022531","https://openalex.org/W1960782684","https://openalex.org/W2220102983","https://openalex.org/W2410409679","https://openalex.org/W2023620626"],"abstract_inverted_index":{"An":[0],"explicit":[1],"method":[2,47,94],"for":[3,71],"the":[4,26,29,66,72,78,93,112],"evaluation":[5],"of":[6,25,28,37,53,68,90,111],"singular":[7],"and":[8,56,82],"near-singular":[9],"integrals":[10],"arising":[11],"in":[12,51,88],"three-dimensional":[13],"Galerkin":[14],"BEM":[15],"is":[16,19,116],"presented.":[17],"It":[18],"based":[20],"on":[21],"a":[22,34,75],"recursive":[23],"reduction":[24],"dimension":[27],"integration":[30],"domain":[31],"leading":[32],"to":[33,65,85,98],"linear":[35],"combination":[36],"one-dimensional":[38],"regular":[39],"integrals,":[40],"which":[41],"can":[42],"be":[43,86],"exactly":[44],"evaluated.":[45],"This":[46],"has":[48],"appealing":[49],"properties":[50],"terms":[52,89],"reliability,":[54],"precision,":[55],"flexibility.":[57],"The":[58],"results":[59],"we":[60],"present":[61],"here":[62,115],"are":[63,80],"devoted":[64],"case":[67],"thin":[69],"layers":[70],"Helmholtz":[73],"equation,":[74],"situation":[76],"where":[77],"panels":[79],"close":[81],"parallel,":[83],"known":[84],"difficult":[87],"accuracy.":[91],"Nevertheless,":[92],"applies":[95],"as":[96],"well":[97],"two-dimensional":[99],"BEM,":[100],"secant":[101],"planes,":[102],"or":[103],"even":[104],"volume":[105],"integral":[106],"equations.":[107],"A":[108],"MATLAB":[109],"implementation":[110],"formulas":[113],"presented":[114],"available":[117],"online.":[118]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}