{"id":"https://openalex.org/W1711992483","doi":"https://doi.org/10.1090/mcom/3175","title":"Local inverse estimates for non-local boundary integral operators","display_name":"Local inverse estimates for non-local boundary integral operators","publication_year":2017,"publication_date":"2017-03-08","ids":{"openalex":"https://openalex.org/W1711992483","doi":"https://doi.org/10.1090/mcom/3175","mag":"1711992483"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3175","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3175","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1504.04394","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022649728","display_name":"Markus Aurada","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"M. Aurada","raw_affiliation_strings":["Technische Universit\u00c3\u00a4t Wien, Institute for Analysis and Scientific Computing, Wiedner Haupstrasse 8-10-A, 1040 Vienna, Austria","Technische Universit\u00e4t Wien, Institute for Analysis and Scientific Computing, Wiedner Haupstrasse 8-10-A, 1040 Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technische Universit\u00c3\u00a4t Wien, Institute for Analysis and Scientific Computing, Wiedner Haupstrasse 8-10-A, 1040 Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Technische Universit\u00e4t Wien, Institute for Analysis and Scientific Computing, Wiedner Haupstrasse 8-10-A, 1040 Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035803720","display_name":"Michael Feischl","orcid":"https://orcid.org/0000-0001-7206-1652"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"M. Feischl","raw_affiliation_strings":["School of Mathematics and Statistics, University of New South Wales, Sydney NSW 2052, Australia","School of Mathematics and Statistics , University of New South Wales , Sydney , NSW 2052 , Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of New South Wales, Sydney NSW 2052, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Mathematics and Statistics , University of New South Wales , Sydney , NSW 2052 , Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012941359","display_name":"Thomas F\u00fchrer","orcid":"https://orcid.org/0000-0001-5034-6593"},"institutions":[{"id":"https://openalex.org/I162148367","display_name":"Pontificia Universidad Cat\u00f3lica de Chile","ror":"https://ror.org/04teye511","country_code":"CL","type":"education","lineage":["https://openalex.org/I162148367"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"T. F\u00fchrer","raw_affiliation_strings":["Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Avenida Vicu\u00f1a, Mackenna 4860, Santiago, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Avenida Vicu\u00f1a, Mackenna 4860, Santiago, Chile","institution_ids":["https://openalex.org/I162148367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022638379","display_name":"Michael Karkulik","orcid":"https://orcid.org/0009-0007-2001-4433"},"institutions":[{"id":"https://openalex.org/I75778554","display_name":"Federico Santa Mar\u00eda Technical University","ror":"https://ror.org/05510vn56","country_code":"CL","type":"education","lineage":["https://openalex.org/I75778554"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"M. Karkulik","raw_affiliation_strings":["Departamento de Matem\u00c3\u00a1tica, Universidad T\u00c3\u00a9cnica Federico Santa Mar\u00c3\u00ada, Avenida Espa\u00c3\u00b1a 1680, Valpara\u00c3\u00adso, Chile","Departamento de Matem\u00e1tica Universidad T\u00e9cnica Federico Santa Mar\u00eda Avenida Espa\u00f1a 1680 Valpara\u00edso Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00c3\u00a1tica, Universidad T\u00c3\u00a9cnica Federico Santa Mar\u00c3\u00ada, Avenida Espa\u00c3\u00b1a 1680, Valpara\u00c3\u00adso, Chile","institution_ids":[]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Universidad T\u00e9cnica Federico Santa Mar\u00eda Avenida Espa\u00f1a 1680 Valpara\u00edso Chile","institution_ids":["https://openalex.org/I75778554"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058356670","display_name":"Jens Markus Melenk","orcid":"https://orcid.org/0000-0001-9024-6028"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"J. Melenk","raw_affiliation_strings":["Technische Universit\u00c3\u00a4t Wien, Institute for Analysis and Scientific Computing, Wiedner Hauptstra\u00c3\u009fe 8-10, A-1040 Wien, Austria","Technische Universit\u00e4t Wien, Institute for Analysis and Scientific Computing, Wiedner Hauptstra\u00dfe 8-10, A-1040 Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technische Universit\u00c3\u00a4t Wien, Institute for Analysis and Scientific Computing, Wiedner Hauptstra\u00c3\u009fe 8-10, A-1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Technische Universit\u00e4t Wien, Institute for Analysis and Scientific Computing, Wiedner Hauptstra\u00dfe 8-10, A-1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022125095","display_name":"Dirk Praetorius","orcid":"https://orcid.org/0000-0002-1977-9830"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"D. Praetorius","raw_affiliation_strings":["Technische Universit\u00c3\u00a4t Wien, Institute for Analysis and Scientific Computing, Wiedner Hauptstra\u00c3\u009fe 8-10, A-1040 Wien, Austria","Technische Universit\u00e4t Wien, Institute for Analysis and Scientific Computing, Wiedner Hauptstra\u00dfe 8-10, A-1040 Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technische Universit\u00c3\u00a4t Wien, Institute for Analysis and Scientific Computing, Wiedner Hauptstra\u00c3\u009fe 8-10, A-1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Technische Universit\u00e4t Wien, Institute for Analysis and Scientific Computing, Wiedner Hauptstra\u00dfe 8-10, A-1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4699,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.87590368,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"86","issue":"308","first_page":"2651","last_page":"2686"},"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":0.9994000196456909,"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":0.9994000196456909,"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":0.9993000030517578,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9181435704231262},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7212903499603271},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6195706129074097},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5874391198158264},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5829659700393677},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5674334168434143},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5412707924842834},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5145508646965027},{"id":"https://openalex.org/keywords/ansatz","display_name":"Ansatz","score":0.512829601764679},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.45990630984306335},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.45010775327682495},{"id":"https://openalex.org/keywords/lipschitz-domain","display_name":"Lipschitz domain","score":0.4215613603591919},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15055957436561584}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9181435704231262},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7212903499603271},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6195706129074097},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5874391198158264},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5829659700393677},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5674334168434143},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5412707924842834},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5145508646965027},{"id":"https://openalex.org/C130979935","wikidata":"https://www.wikidata.org/wiki/Q568954","display_name":"Ansatz","level":2,"score":0.512829601764679},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.45990630984306335},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.45010775327682495},{"id":"https://openalex.org/C13474197","wikidata":"https://www.wikidata.org/wiki/Q1158876","display_name":"Lipschitz domain","level":3,"score":0.4215613603591919},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15055957436561584},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/mcom/3175","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3175","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:arXiv.org:1504.04394","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1504.04394","pdf_url":"https://arxiv.org/pdf/1504.04394","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.700.2486","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.700.2486","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.asc.tuwien.ac.at/preprint/2015/asc17x2015.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1504.04394","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1504.04394","pdf_url":"https://arxiv.org/pdf/1504.04394","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1742109135","display_name":"Dissipation and dispersion in differential equations","funder_award_id":"W1245","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G2964748641","display_name":null,"funder_award_id":"3140614","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G5394959934","display_name":"Optimal adaptivity for BEM and FEM-BEM coupling","funder_award_id":"P27005","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G7678461426","display_name":"Adaptive Boundary Element Method","funder_award_id":"P21732","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G8529979792","display_name":null,"funder_award_id":"3150012","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320334812","display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/02ap3w078"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1711992483.pdf","grobid_xml":"https://content.openalex.org/works/W1711992483.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W8052360","https://openalex.org/W1440100122","https://openalex.org/W1488877410","https://openalex.org/W1522020530","https://openalex.org/W1593038947","https://openalex.org/W1602383637","https://openalex.org/W1602764780","https://openalex.org/W1604436244","https://openalex.org/W1965398593","https://openalex.org/W1974033468","https://openalex.org/W1980928855","https://openalex.org/W1986120564","https://openalex.org/W1990258816","https://openalex.org/W1991670087","https://openalex.org/W2003277202","https://openalex.org/W2009985306","https://openalex.org/W2030028670","https://openalex.org/W2038115135","https://openalex.org/W2058398001","https://openalex.org/W2061960130","https://openalex.org/W2072811159","https://openalex.org/W2076945160","https://openalex.org/W2092037996","https://openalex.org/W2093622765","https://openalex.org/W2097359885","https://openalex.org/W2107813568","https://openalex.org/W2114281353","https://openalex.org/W2134169343","https://openalex.org/W2144098834","https://openalex.org/W2251490743","https://openalex.org/W2903289755","https://openalex.org/W3099611450","https://openalex.org/W4242794827","https://openalex.org/W4245007249","https://openalex.org/W4292079583","https://openalex.org/W4293238311"],"related_works":["https://openalex.org/W2042906150","https://openalex.org/W3014335474","https://openalex.org/W2499849978","https://openalex.org/W2022300732","https://openalex.org/W2897842840","https://openalex.org/W2073281382","https://openalex.org/W4293385557","https://openalex.org/W1642415801","https://openalex.org/W2973109582","https://openalex.org/W2037337573"],"abstract_inverted_index":{"We":[0],"prove":[1],"local":[2,139],"inverse-type":[3],"estimates":[4,133,150],"for":[5,64],"the":[6,14,131,138,143],"four":[7],"non-local":[8],"boundary":[9,157],"integral":[10],"operators":[11],"associated":[12],"with":[13,86],"Laplace":[15],"operator":[16],"on":[17],"a":[18],"bounded":[19],"Lipschitz":[20],"domain":[21],"<inline-formula":[22,40,65,96],"content-type=\"math/mathml\">":[23,41,66,97],"<mml:math":[24,42,67,98],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[25,43,68,99],"alttext=\"normal":[26],"upper":[27,45],"Omega\">":[28],"<mml:semantics>":[29,49,72,107],"<mml:mi":[30,53],"mathvariant=\"normal\">":[31],"\u03a9":[32],"</mml:mi>":[33],"<mml:annotation":[34,58,80,123],"encoding=\"application/x-tex\">\\Omega</mml:annotation>":[35],"</mml:semantics>":[36,61,83,127],"</mml:math>":[37,62,84,128],"</inline-formula>":[38,63,85,129],"in":[39,136,151,156],"alttext=\"double-struck":[44],"R":[46],"Superscript":[47],"d\">":[48],"<mml:msup>":[50],"<mml:mrow":[51],"class=\"MJX-TeXAtom-ORD\">":[52],"mathvariant=\"double-struck\">R</mml:mi>":[54],"</mml:mrow>":[55,79,122],"<mml:mi>d</mml:mi>":[56,74,109],"</mml:msup>":[57],"encoding=\"application/x-tex\">\\mathbb":[59],"{R}^d</mml:annotation>":[60],"alttext=\"d":[69,100],"greater-than-or-equal-to":[70],"2\">":[71],"<mml:mrow>":[73,108],"<mml:mo>":[75,110],"\u2265":[76],"</mml:mo>":[77,112],"<mml:mn>2</mml:mn>":[78,116],"encoding=\"application/x-tex\">d\\ge":[81],"2</mml:annotation>":[82],"piecewise":[87,91],"smooth":[88],"boundary.":[89],"For":[90],"polynomial":[92],"ansatz":[93],"spaces":[94],"and":[95,142],"element-of":[101],"StartSet":[102],"2":[103],"comma":[104],"3":[105],"EndSet\">":[106],"\u2208":[111],"<mml:mo":[113,119],"fence=\"false\"":[114,120],"stretchy=\"false\">{</mml:mo>":[115],"<mml:mo>,</mml:mo>":[117],"<mml:mn>3</mml:mn>":[118],"stretchy=\"false\">}</mml:mo>":[121],"encoding=\"application/x-tex\">d":[124],"\\in":[125],"\\{2,3\\}</mml:annotation>":[126],",":[130],"inverse":[132],"are":[134],"explicit":[135],"both":[137],"mesh":[140],"width":[141],"approximation":[144],"order.":[145],"An":[146],"application":[147],"to":[148],"efficiency-type":[149],"<italic>a":[152],"posteriori</italic>":[153],"error":[154],"estimation":[155],"element":[158],"methods":[159],"is":[160],"given.":[161]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
