{"id":"https://openalex.org/W1981121062","doi":"https://doi.org/10.1090/s0025-5718-2013-02747-0","title":"A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity","display_name":"A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity","publication_year":2013,"publication_date":"2013-07-18","ids":{"openalex":"https://openalex.org/W1981121062","doi":"https://doi.org/10.1090/s0025-5718-2013-02747-0","mag":"1981121062"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-2013-02747-0","is_oa":false,"landing_page_url":"https://doi.org/10.1090/s0025-5718-2013-02747-0","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":true,"oa_status":"green","oa_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3266949","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091258269","display_name":"Bernardo Cockburn","orcid":"https://orcid.org/0000-0001-6085-3441"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bernardo Cockburn","raw_affiliation_strings":["School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455","School of Mathematics University of Minnesota, Minneapolis, Minnesota 55455"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"School of Mathematics University of Minnesota, Minneapolis, Minnesota 55455","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059376708","display_name":"Weifeng Qiu","orcid":"https://orcid.org/0000-0002-9155-1005"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Weifeng Qiu","raw_affiliation_strings":["Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong","Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue,Kowloon Tong,Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue,Kowloon Tong,Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035628034","display_name":"Manuel Solano","orcid":"https://orcid.org/0000-0001-8589-3685"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Manuel Solano","raw_affiliation_strings":["Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716","University of Delaware"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"University of Delaware","institution_ids":["https://openalex.org/I86501945"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091258269"],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":null,"apc_paid":null,"fwci":3.171,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.90601079,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"83","issue":"286","first_page":"665","last_page":"699"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.998199999332428,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/mathematics","display_name":"Mathematics","score":0.8413292169570923},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6851704716682434},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6753655672073364},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5729230046272278},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5467549562454224},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5435360670089722},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47060781717300415},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.443820059299469},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4332914650440216},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4302847981452942},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4155111014842987},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21811991930007935},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19823268055915833},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08422747254371643}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8413292169570923},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6851704716682434},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6753655672073364},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5729230046272278},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5467549562454224},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5435360670089722},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47060781717300415},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.443820059299469},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4332914650440216},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4302847981452942},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4155111014842987},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21811991930007935},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19823268055915833},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08422747254371643},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/s0025-5718-2013-02747-0","is_oa":false,"landing_page_url":"https://doi.org/10.1090/s0025-5718-2013-02747-0","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"},{"id":"pmh:oai:americanae.aecid.es:3266949","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3266949","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics Of Computation","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:localhost:10533/148123","is_oa":true,"landing_page_url":"http://hdl.handle.net/10533/148123","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics Of Computation","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:americanae.aecid.es:3266949","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3266949","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics Of Computation","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1488877410","https://openalex.org/W1852082788","https://openalex.org/W1901575615","https://openalex.org/W1974936486","https://openalex.org/W1981198949","https://openalex.org/W1981891092","https://openalex.org/W1982396064","https://openalex.org/W1984961557","https://openalex.org/W1988944051","https://openalex.org/W1992984324","https://openalex.org/W1993443533","https://openalex.org/W1997235068","https://openalex.org/W1997972083","https://openalex.org/W1998894128","https://openalex.org/W2000425991","https://openalex.org/W2005865376","https://openalex.org/W2006265865","https://openalex.org/W2007407491","https://openalex.org/W2007527687","https://openalex.org/W2008325195","https://openalex.org/W2015795390","https://openalex.org/W2040589491","https://openalex.org/W2040896717","https://openalex.org/W2058398001","https://openalex.org/W2069847349","https://openalex.org/W2075330220","https://openalex.org/W2079823607","https://openalex.org/W2110329595","https://openalex.org/W2130350269","https://openalex.org/W2141613219","https://openalex.org/W2164961254","https://openalex.org/W3149667697"],"related_works":["https://openalex.org/W4289285311","https://openalex.org/W2613898712","https://openalex.org/W2901908549","https://openalex.org/W2026757688","https://openalex.org/W2041458840","https://openalex.org/W2394496373","https://openalex.org/W3089271475","https://openalex.org/W2326097457","https://openalex.org/W2010894337","https://openalex.org/W2139337842"],"abstract_inverted_index":{"We":[0,92],"present":[1,143],"the":[2,51,56,59,70,73,76,83,96,102,105,115,147,155,166,170,173],"first":[3],"a":[4,9,38,99,110,135,180],"priori":[5],"error":[6,103,171],"analysis":[7],"of":[8,41,53,58,75,82,89,98,101,104,123,138,163,169,172],"technique":[10],"that":[11,50,81,95,152],"allows":[12],"us":[13],"to":[14],"numerically":[15],"solve":[16],"steady-state":[17],"diffusion":[18],"problems":[19],"defined":[20,30],"on":[21],"curved":[22],"domains":[23],"$\\Omega$":[24],"by":[25],"using":[26],"finite":[27],"element":[28],"methods":[29],"in":[31,55],"polyhedral":[32],"subdomains":[33],"$\\mathsf":[34],"{D}_h\\subset":[35],"\\Omega$.":[36],"For":[37],"wide":[39],"variety":[40],"hybridizable":[42],"discontinuous":[43],"Galerkin":[44],"and":[45,62,80,119,150,159],"mixed":[46],"methods,":[47],"we":[48,142],"prove":[49,94],"order":[52,90,113,124,132,139,164],"convergence":[54],"$L^2$-norm":[57,97],"approximate":[60],"flux":[61],"scalar":[63,106,174],"unknowns":[64],"is":[65,88,122,137,162],"optimal":[66],"as":[67,69],"long":[68],"distance":[71,116,136,156],"between":[72,117,157],"boundary":[74],"original":[77],"domain":[78,85],"$\\Gamma$":[79,118,158],"computational":[84],"$\\Gamma":[86,120,160],"_h$":[87,121,161],"$h$.":[91,140],"also":[93],"projection":[100,168],"variable":[107,175],"superconverges":[108],"with":[109,127,179],"full":[111,181],"additional":[112,131,182],"when":[114,133,154],"$h^{5/4}$":[125],"but":[126],"only":[128],"half":[129],"an":[130],"such":[134],"Finally,":[141],"numerical":[144],"experiments":[145],"confirming":[146],"theoretical":[148],"results":[149],"showing":[151],"even":[153],"$h$,":[165],"above-mentioned":[167],"can":[176],"still":[177],"superconverge":[178],"order.":[183]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
