{"id":"https://openalex.org/W7140235229","doi":"https://doi.org/10.1016/j.matcom.2026.03.026","title":"Computing the vertex stress intensity factors in three-dimensional Laplace problems with vertex singularities using the singular function boundary integral method","display_name":"Computing the vertex stress intensity factors in three-dimensional Laplace problems with vertex singularities using the singular function boundary integral method","publication_year":2026,"publication_date":"2026-03-24","ids":{"openalex":"https://openalex.org/W7140235229","doi":"https://doi.org/10.1016/j.matcom.2026.03.026"},"language":"en","primary_location":{"id":"doi:10.1016/j.matcom.2026.03.026","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.matcom.2026.03.026","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.matcom.2026.03.026","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Hind Lamsikine","orcid":"https://orcid.org/0009-0009-6036-0642"},"institutions":[{"id":"https://openalex.org/I4210125507","display_name":"Chouaib Doukkali University","ror":"https://ror.org/036kgyt43","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210125507"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Hind Lamsikine","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, Choua\u00efb Doukkali University, B.P. 20, 24000, El Jadida, Morocco"],"raw_orcid":"https://orcid.org/0009-0009-6036-0642","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, Choua\u00efb Doukkali University, B.P. 20, 24000, El Jadida, Morocco","institution_ids":["https://openalex.org/I4210125507"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Otmane Souhar","orcid":"https://orcid.org/0000-0002-2728-9209"},"institutions":[{"id":"https://openalex.org/I4210125507","display_name":"Chouaib Doukkali University","ror":"https://ror.org/036kgyt43","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210125507"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Otmane Souhar","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, Choua\u00efb Doukkali University, B.P. 20, 24000, El Jadida, Morocco"],"raw_orcid":"https://orcid.org/0000-0002-2728-9209","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, Choua\u00efb Doukkali University, B.P. 20, 24000, El Jadida, Morocco","institution_ids":["https://openalex.org/I4210125507"]}]},{"author_position":"last","author":{"id":null,"display_name":"Georgios C. Georgiou","orcid":"https://orcid.org/0000-0002-7451-224X"},"institutions":[{"id":"https://openalex.org/I34771391","display_name":"University of Cyprus","ror":"https://ror.org/02qjrjx09","country_code":"CY","type":"education","lineage":["https://openalex.org/I34771391"]}],"countries":["CY"],"is_corresponding":true,"raw_author_name":"Georgios C. Georgiou","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678, Nicosia, Cyprus"],"raw_orcid":"https://orcid.org/0000-0002-7451-224X","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678, Nicosia, Cyprus","institution_ids":["https://openalex.org/I34771391"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I34771391"],"apc_list":{"value":1740,"currency":"USD","value_usd":1740},"apc_paid":{"value":1740,"currency":"USD","value_usd":1740},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.38049828,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"247","issue":null,"first_page":"347","last_page":"358"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9643999934196472,"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":0.9643999934196472,"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":0.007400000002235174,"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"}},{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.0071000000461936,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5299999713897705},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.5218999981880188},{"id":"https://openalex.org/keywords/singular-boundary-method","display_name":"Singular boundary method","score":0.5131000280380249},{"id":"https://openalex.org/keywords/singular-integral","display_name":"Singular integral","score":0.4909000098705292},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.48660001158714294},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4797999858856201},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4749999940395355},{"id":"https://openalex.org/keywords/laplaces-equation","display_name":"Laplace's equation","score":0.46230000257492065},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.44369998574256897},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4318000078201294}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7807999849319458},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5958999991416931},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5299999713897705},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.5218999981880188},{"id":"https://openalex.org/C82047721","wikidata":"https://www.wikidata.org/wiki/Q7524247","display_name":"Singular boundary method","level":4,"score":0.5131000280380249},{"id":"https://openalex.org/C92571104","wikidata":"https://www.wikidata.org/wiki/Q888122","display_name":"Singular integral","level":3,"score":0.4909000098705292},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.48660001158714294},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4797999858856201},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4749999940395355},{"id":"https://openalex.org/C70615421","wikidata":"https://www.wikidata.org/wiki/Q339444","display_name":"Laplace's equation","level":3,"score":0.46230000257492065},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.44369998574256897},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4318000078201294},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.3646000027656555},{"id":"https://openalex.org/C48395688","wikidata":"https://www.wikidata.org/wiki/Q6823714","display_name":"Method of fundamental solutions","level":5,"score":0.35600000619888306},{"id":"https://openalex.org/C126578732","wikidata":"https://www.wikidata.org/wiki/Q2374166","display_name":"Singular function","level":4,"score":0.35569998621940613},{"id":"https://openalex.org/C54303661","wikidata":"https://www.wikidata.org/wiki/Q1754376","display_name":"Stress intensity factor","level":3,"score":0.3499999940395355},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.3337000012397766},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.33009999990463257},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.32499998807907104},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.3183000087738037},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.3124000132083893},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.29179999232292175},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.29010000824928284},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.28049999475479126},{"id":"https://openalex.org/C24209939","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic formula","level":2,"score":0.27709999680519104},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.273499995470047},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.2630000114440918},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.2574999928474426},{"id":"https://openalex.org/C52890695","wikidata":"https://www.wikidata.org/wiki/Q4949966","display_name":"Boundary knot method","level":4,"score":0.2547000050544739}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.matcom.2026.03.026","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.matcom.2026.03.026","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.matcom.2026.03.026","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.matcom.2026.03.026","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W2007686712","https://openalex.org/W2009955270","https://openalex.org/W2021460625","https://openalex.org/W2033516351","https://openalex.org/W2049357286","https://openalex.org/W2051691763","https://openalex.org/W2068045879","https://openalex.org/W2088574123","https://openalex.org/W2101419678","https://openalex.org/W2102460917","https://openalex.org/W2102727531","https://openalex.org/W2112462719","https://openalex.org/W2114123394","https://openalex.org/W2122634784","https://openalex.org/W2124113509","https://openalex.org/W2134661792","https://openalex.org/W2136746407","https://openalex.org/W2138912046","https://openalex.org/W2142939548","https://openalex.org/W2155541403","https://openalex.org/W2559406932","https://openalex.org/W2984433789","https://openalex.org/W4319761689","https://openalex.org/W4400849499"],"related_works":[],"abstract_inverted_index":{"The":[0,51],"purpose":[1],"of":[2,33,53,95,102,116,122],"this":[3],"work":[4],"is":[5,27,110,125],"to":[6,61],"solve":[7],"three-dimensional":[8],"Laplace":[9],"problems":[10],"with":[11,98],"vertex":[12,47,106],"singularities":[13],"using":[14],"the":[15,23,25,30,34,42,57,65,81,93,96,100,117,120,123],"Singular":[16],"Function":[17],"Boundary":[18],"Integral":[19],"Method":[20],"(SFBIM).":[21],"In":[22],"SFBIM,":[24],"solution":[26,37,97],"approximated":[28],"by":[29,72],"first":[31],"terms":[32],"local":[35],"asymptotic":[36],"expansion,":[38],"whose":[39,75],"coefficients":[40,45],"are":[41,69,90],"unknown":[43],"singular":[44],"or":[46],"stress":[48,107],"intensity":[49,108],"factors.":[50],"application":[52],"Green\u2019s":[54],"theorem":[55],"reduces":[56],"discretized":[58],"Galerkin":[59],"equations":[60],"boundary":[62,67],"integrals,":[63],"and":[64,92,105,112,119],"essential":[66],"conditions":[68],"imposed":[70],"weakly":[71],"Lagrange":[73,103],"multipliers,":[74],"values":[76],"constitute":[77],"additional":[78],"unknowns":[79],"in":[80],"linear":[82],"system.":[83],"Numerical":[84],"experiments":[85],"for":[86],"a":[87],"special":[88],"case":[89],"presented,":[91],"convergence":[94],"both":[99],"numbers":[101],"multipliers":[104],"factors":[109],"demonstrated":[111],"discussed.":[113],"An":[114],"analysis":[115],"features":[118],"limitations":[121],"method":[124],"also":[126],"provided.":[127]},"counts_by_year":[],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2026-03-25T00:00:00"}