{"id":"https://openalex.org/W3134671735","doi":"https://doi.org/10.1090/mcom/3641","title":"Analysis of the shifted boundary method for the Poisson problem in domains with corners","display_name":"Analysis of the shifted boundary method for the Poisson problem in domains with corners","publication_year":2021,"publication_date":"2021-03-10","ids":{"openalex":"https://openalex.org/W3134671735","doi":"https://doi.org/10.1090/mcom/3641","mag":"3134671735"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3641","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3641","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","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/A5110744776","display_name":"Nabil M. Atallah","orcid":null},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nabil Atallah","raw_affiliation_strings":["Department of Civil and Environmental Engineering, Duke University, Durham, North Carolina 27708"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, Duke University, Durham, North Carolina 27708","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007738501","display_name":"Claudio Canuto","orcid":"https://orcid.org/0000-0002-8481-0312"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Claudio Canuto","raw_affiliation_strings":["Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087990984","display_name":"Guglielmo Scovazzi","orcid":"https://orcid.org/0000-0003-1043-6281"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guglielmo Scovazzi","raw_affiliation_strings":["Department of Civil and Environmental Engineering, Duke University, Durham, North Carolina 27708"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, Duke University, Durham, North Carolina 27708","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110744776"],"corresponding_institution_ids":["https://openalex.org/I170897317"],"apc_list":null,"apc_paid":null,"fwci":4.4518,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.95652294,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"90","issue":"331","first_page":"2041","last_page":"2069"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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/T10514","display_name":"Numerical methods in engineering","score":0.9997000098228455,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7072627544403076},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6273103952407837},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5798723697662354},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.569491446018219},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.48387300968170166},{"id":"https://openalex.org/keywords/boundary-conditions-in-cfd","display_name":"Boundary conditions in CFD","score":0.4123009145259857},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4060017466545105},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40036237239837646},{"id":"https://openalex.org/keywords/mixed-boundary-condition","display_name":"Mixed boundary condition","score":0.37739747762680054},{"id":"https://openalex.org/keywords/robin-boundary-condition","display_name":"Robin boundary condition","score":0.36709654331207275}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7072627544403076},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6273103952407837},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5798723697662354},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.569491446018219},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.48387300968170166},{"id":"https://openalex.org/C79042034","wikidata":"https://www.wikidata.org/wiki/Q4949963","display_name":"Boundary conditions in CFD","level":5,"score":0.4123009145259857},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4060017466545105},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40036237239837646},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.37739747762680054},{"id":"https://openalex.org/C108257041","wikidata":"https://www.wikidata.org/wiki/Q748993","display_name":"Robin boundary condition","level":4,"score":0.36709654331207275},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/3641","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3641","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5929635386","display_name":null,"funder_award_id":"W911NF-18-1- 0308","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"}],"funders":[{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W591292934","https://openalex.org/W1479835491","https://openalex.org/W1498345005","https://openalex.org/W1572985915","https://openalex.org/W1586623601","https://openalex.org/W1901575615","https://openalex.org/W1964923523","https://openalex.org/W1981121062","https://openalex.org/W1981198949","https://openalex.org/W1991359259","https://openalex.org/W1997972083","https://openalex.org/W2021464762","https://openalex.org/W2026749842","https://openalex.org/W2040896717","https://openalex.org/W2075330220","https://openalex.org/W2079423956","https://openalex.org/W2100015555","https://openalex.org/W2246232185","https://openalex.org/W2477238223","https://openalex.org/W2497073464","https://openalex.org/W2767049640","https://openalex.org/W2793340000","https://openalex.org/W2800361224","https://openalex.org/W2883275932","https://openalex.org/W2893959109","https://openalex.org/W2900157040","https://openalex.org/W2969428505","https://openalex.org/W2974425401","https://openalex.org/W3000142798","https://openalex.org/W3043398968","https://openalex.org/W3080938804","https://openalex.org/W3186180415","https://openalex.org/W4232436864","https://openalex.org/W4236938392","https://openalex.org/W4243828759","https://openalex.org/W4250220742","https://openalex.org/W6639736344"],"related_works":["https://openalex.org/W1514481392","https://openalex.org/W2100405323","https://openalex.org/W4322770021","https://openalex.org/W2174317416","https://openalex.org/W1964362730","https://openalex.org/W1427521700","https://openalex.org/W2020502833","https://openalex.org/W3041028410","https://openalex.org/W2524748665","https://openalex.org/W4294783321"],"abstract_inverted_index":{"The":[0,45,170,195],"shifted":[1],"boundary":[2,11,59,81,132,180],"method":[3,9,100],"(SBM)":[4],"is":[5,51,182,198,208],"an":[6,69],"approximate":[7],"domain":[8],"for":[10,161,185,189],"value":[12,78],"problems,":[13],"in":[14,28,54,83,101,105,203,211],"the":[15,49,55,63,77,80,87,99,110,122,127,145,149,152,162,167,173,179,204,212],"broader":[16],"class":[17],"of":[18,48,76,79,98,112,166,172],"unfitted/embedded/immersed":[19],"methods.":[20],"It":[21],"has":[22],"proven":[23,199],"to":[24,37,41,65,85,143,200],"be":[25,201],"quite":[26],"efficient":[27],"handling":[29],"problems":[30],"with":[31,107,130,191],"complex":[32],"geometries,":[33],"ranging":[34],"from":[35,39,177],"Poisson":[36,128],"Darcy,":[38],"Navier-Stokes":[40],"elasticity":[42],"and":[43,104,114,118,137,151,164,188,193,207],"beyond.":[44],"key":[46],"feature":[47],"SBM":[50],"a":[52,66,73,95,135,141,158],"<italic>shift</italic>":[53,74],"location":[56],"where":[57],"Dirichlet":[58,131],"conditions":[60,133,181],"are":[61],"applied\u2014from":[62],"true":[64,153],"surrogate":[67,119,150],"boundary\u2014and":[68],"appropriate":[70],"modification":[71],"(again,":[72],")":[75],"conditions,":[82],"order":[84],"reduce":[86],"consistency":[88,174],"error.":[89],"In":[90],"this":[91],"paper":[92],"we":[93,138,156],"provide":[94],"sound":[96],"analysis":[97],"smooth":[102,186],"domains":[103,106],"corners,":[108],"highlighting":[109],"influence":[111],"geometry":[113],"distance":[115],"between":[116,148],"exact":[117],"boundaries":[120,187,190],"upon":[121],"convergence":[123,196],"rate.":[124],"We":[125],"consider":[126],"problem":[129],"as":[134],"model":[136],"first":[139],"detail":[140],"procedure":[142],"obtain":[144],"crucial":[146],"shifting":[147,178],"boundaries.":[154],"Next,":[155],"give":[157],"sufficient":[159],"condition":[160],"well-posedness":[163],"stability":[165],"discrete":[168],"problem.":[169],"behavior":[171],"error":[175],"arising":[176],"thoroughly":[183],"analyzed,":[184],"corners":[192],"edges.":[194],"rate":[197],"optimal":[202],"energy":[205],"norm,":[206],"further":[209],"enhanced":[210],"<inline-formula":[213],"content-type=\"math/mathml\">":[214],"<mml:math":[215],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[216],"alttext=\"upper":[217],"L":[218],"squared\">":[219],"<mml:semantics>":[220],"<mml:msup>":[221],"<mml:mi>L</mml:mi>":[222],"<mml:mn>2</mml:mn>":[223],"</mml:msup>":[224],"<mml:annotation":[225],"encoding=\"application/x-tex\">L^2</mml:annotation>":[226],"</mml:semantics>":[227],"</mml:math>":[228],"</inline-formula>":[229],"-norm.":[230]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-23T06:14:38.165362","created_date":"2025-10-10T00:00:00"}
