{"id":"https://openalex.org/W2033299663","doi":"https://doi.org/10.1090/s0025-5718-2011-02481-6","title":"Finite element approximations in a non-Lipschitz domain: Part II","display_name":"Finite element approximations in a non-Lipschitz domain: Part II","publication_year":2011,"publication_date":"2011-04-01","ids":{"openalex":"https://openalex.org/W2033299663","doi":"https://doi.org/10.1090/s0025-5718-2011-02481-6","mag":"2033299663"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-2011-02481-6","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-2011-02481-6","pdf_url":"https://www.ams.org/mcom/2011-80-276/S0025-5718-2011-02481-6/S0025-5718-2011-02481-6.pdf","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":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2011-80-276/S0025-5718-2011-02481-6/S0025-5718-2011-02481-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026351410","display_name":"Gabriel Acosta","orcid":"https://orcid.org/0000-0002-6416-8959"},"institutions":[{"id":"https://openalex.org/I24354313","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]},{"id":"https://openalex.org/I53241121","display_name":"Fundaci\u00f3n Ciencias Exactas y Naturales","ror":"https://ror.org/05rxmkq09","country_code":"AR","type":"nonprofit","lineage":["https://openalex.org/I53241121"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Gabriel Acosta","raw_affiliation_strings":["Departamento de Matem\u00c3\u00a1tica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina","Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428), Buenos Aires, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00c3\u00a1tica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina","institution_ids":["https://openalex.org/I53241121","https://openalex.org/I24354313"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428), Buenos Aires, Argentina","institution_ids":["https://openalex.org/I53241121","https://openalex.org/I24354313"]}]},{"author_position":"last","author":{"id":null,"display_name":"Mar\u00eda Armentano","orcid":null},"institutions":[{"id":"https://openalex.org/I24354313","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]},{"id":"https://openalex.org/I53241121","display_name":"Fundaci\u00f3n Ciencias Exactas y Naturales","ror":"https://ror.org/05rxmkq09","country_code":"AR","type":"nonprofit","lineage":["https://openalex.org/I53241121"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Mar\u00eda Armentano","raw_affiliation_strings":["Departamento de Matem\u00c3\u00a1tica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina","Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428), Buenos Aires, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00c3\u00a1tica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina","institution_ids":["https://openalex.org/I53241121","https://openalex.org/I24354313"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428), Buenos Aires, Argentina","institution_ids":["https://openalex.org/I53241121","https://openalex.org/I24354313"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7047,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.71828218,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"80","issue":"276","first_page":"1949","last_page":"1978"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9961000084877014,"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/algorithm","display_name":"Algorithm","score":0.661917507648468},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.45336419343948364},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.44164031744003296},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43218180537223816},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39027225971221924},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36506354808807373},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1616397202014923},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.0809665322303772}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.661917507648468},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.45336419343948364},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.44164031744003296},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43218180537223816},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39027225971221924},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36506354808807373},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1616397202014923},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0809665322303772},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1090/s0025-5718-2011-02481-6","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-2011-02481-6","pdf_url":"https://www.ams.org/mcom/2011-80-276/S0025-5718-2011-02481-6/S0025-5718-2011-02481-6.pdf","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"},{"id":"pmh:oai:RDI UBA:artiaex:paper_00255718_v80_n276_p1949_Acosta_oai","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12110/paper_00255718_v80_n276_p1949_Acosta","pdf_url":null,"source":{"id":"https://openalex.org/S4306402562","display_name":"Repositorio Digital Institucional de la Universidad de Buenos Aires (Universidad de Buenos Aires)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I24354313","host_organization_name":"Universidad de Buenos Aires","host_organization_lineage":["https://openalex.org/I24354313"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Math. Comput. 2011;80(276):1949-1978","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.364.2189","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.364.2189","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/journals/mcom/2011-80-276/S0025-5718-2011-02481-6/S0025-5718-2011-02481-6.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.519.2570","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.519.2570","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://mate.dm.uba.ar/~garmenta/papers/AA.pdf","raw_type":"text"},{"id":"pmh:oai:ri.conicet.gov.ar:11336/14905","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/14905","pdf_url":null,"source":{"id":"https://openalex.org/S4306401400","display_name":"Conicet","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210104196","host_organization_name":"Centro Cient\u00edfico Tecnol\u00f3gico - Nordeste","host_organization_lineage":["https://openalex.org/I4210104196"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-2011-02481-6","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-2011-02481-6","pdf_url":"https://www.ams.org/mcom/2011-80-276/S0025-5718-2011-02481-6/S0025-5718-2011-02481-6.pdf","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2439265903","display_name":null,"funder_award_id":"CONICET","funder_id":"https://openalex.org/F4320323257","funder_display_name":"Universidad de Buenos Aires"},{"id":"https://openalex.org/G477614279","display_name":null,"funder_award_id":"PIP 5478/1438","funder_id":"https://openalex.org/F4320321594","funder_display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas"},{"id":"https://openalex.org/G6331259514","display_name":null,"funder_award_id":"5478/1438","funder_id":"https://openalex.org/F4320321594","funder_display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas"},{"id":"https://openalex.org/G6838831857","display_name":null,"funder_award_id":"PICT-2007-00910","funder_id":"https://openalex.org/F4320334832","funder_display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G7378882120","display_name":null,"funder_award_id":"CONICET","funder_id":"https://openalex.org/F4320334832","funder_display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"}],"funders":[{"id":"https://openalex.org/F4320321594","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59"},{"id":"https://openalex.org/F4320323257","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513"},{"id":"https://openalex.org/F4320334832","display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/03stxzb56"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W619784351","https://openalex.org/W650549686","https://openalex.org/W1488877410","https://openalex.org/W1586623601","https://openalex.org/W1785889290","https://openalex.org/W1855169650","https://openalex.org/W1973690141","https://openalex.org/W1980739360","https://openalex.org/W1994913879","https://openalex.org/W2052902747","https://openalex.org/W2060076025","https://openalex.org/W2071166325","https://openalex.org/W2082785793","https://openalex.org/W2085830137","https://openalex.org/W2094695561","https://openalex.org/W2129114523","https://openalex.org/W2138912046","https://openalex.org/W2156508328","https://openalex.org/W2157721313","https://openalex.org/W2171737318","https://openalex.org/W3021722416","https://openalex.org/W3126479135","https://openalex.org/W4238106536","https://openalex.org/W6790394435"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596"],"abstract_inverted_index":{"In":[0,81,272],"a":[1,19,24,142],"paper":[2,225],"by":[3,111],"R.":[4],"Dur\u00e1n,":[5],"A.":[6],"Lombardi,":[7],"and":[8,66,287],"the":[9,12,72,86,89,116,127,135,152,156,223,226,230,268,278,302,305],"authors":[10],"(2007)":[11],"finite":[13],"element":[14],"method":[15],"was":[16,233],"applied":[17],"to":[18,134,236],"non-homogeneous":[20],"Neumann":[21],"problem":[22,232],"on":[23,147],"cuspidal":[25],"domain":[26,136,158],"<inline-formula":[27,90,159,183,237,250],"content-type=\"math/mathml\">":[28,91,160,184,238,251],"<mml:math":[29,92,161,185,239,252],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[30,93,162,186,240,253],"alttext=\"normal":[31,163,187,254],"upper":[32,36,164,188,192,255],"Omega":[33,165,189,193],"subset-of":[34,190],"double-struck":[35],"R":[37],"squared\">":[38,96],"<mml:semantics>":[39,97,168,196,242,257],"<mml:mrow>":[40,197],"<mml:mi":[41,51,170,198,206,258],"mathvariant=\"normal\">":[42,171,199,207,259],"\u03a9":[43,172,200,208,260],"</mml:mi>":[44,173,201,209,261],"<mml:mo>":[45,202],"\u2282":[46,203],"</mml:mo>":[47,204],"<mml:msup>":[48,98],"<mml:mrow":[49],"class=\"MJX-TeXAtom-ORD\">":[50],"mathvariant=\"double-struck\">R</mml:mi>":[52],"</mml:mrow>":[53,56,212],"<mml:mn>2</mml:mn>":[54,100],"</mml:msup>":[55,101],"<mml:annotation":[57,102,176,213,244,262],"encoding=\"application/x-tex\">\\Omega":[58,177,214],"\\subset":[59,215],"\\mathbb":[60],"{R}^2</mml:annotation>":[61],"</mml:semantics>":[62,104,179,218,246,264],"</mml:math>":[63,105,180,219,247,265],"</inline-formula>":[64,106,181,220,248,266],",":[65,221],"quasi-optimal":[67],"order":[68],"error":[69,87],"estimates":[70,140],"in":[71,88,119,126,222,267,280,296,301,311],"energy":[73],"norm":[74,107],"were":[75],"obtained":[76],"for":[77,299],"certain":[78],"graded":[79,113],"meshes.":[80],"this":[82,273,282],"paper,":[83],"we":[84,275],"study":[85,303],"alttext=\"upper":[94],"L":[95],"<mml:mi>L</mml:mi>":[99],"encoding=\"application/x-tex\">L^2</mml:annotation>":[103],"obtaining":[108],"similar":[109],"results":[110,125],"using":[112],"meshes":[114],"of":[115,229,304,307],"type":[117],"considered":[118],"that":[120],"paper.":[121],"Since":[122],"many":[123],"classical":[124],"theory":[128],"Sobolev":[129],"spaces":[130],"do":[131],"not":[132,285],"apply":[133],"under":[137],"consideration,":[138],"our":[139],"require":[141],"particular":[143],"duality":[144],"treatment":[145],"working":[146],"appropriate":[148],"weighted":[149],"spaces.":[150],"On":[151],"other":[153],"hand,":[154],"since":[155],"discrete":[157,270],"Subscript":[166,194],"h\">":[167,195],"<mml:msub>":[169,205],"<mml:mi>h</mml:mi>":[174,210],"</mml:msub>":[175,211],"_h</mml:annotation>":[178,217],"verifies":[182],"normal":[191],"\\Omega":[216],"above-mentioned":[224],"source":[227],"term":[228],"Poisson":[231],"taken":[234],"equal":[235],"alttext=\"0\">":[241],"<mml:mn>0</mml:mn>":[243],"encoding=\"application/x-tex\">0</mml:annotation>":[245],"outside":[249],"Omega\">":[256],"encoding=\"application/x-tex\">\\Omega</mml:annotation>":[263],"variational":[269],"formulation.":[271],"article":[274],"also":[276],"consider":[277],"case":[279],"which":[281,292],"condition":[283],"does":[284],"hold":[286],"obtain":[288],"more":[289],"general":[290],"estimates,":[291],"can":[293],"be":[294],"useful":[295],"different":[297],"problems,":[298],"instance":[300],"effect":[306],"numerical":[308],"integration,":[309],"or":[310],"eigenvalue":[312],"approximations.":[313]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
