{"id":"https://openalex.org/W2884685386","doi":"https://doi.org/10.1137/17m1139631","title":"A Posteriori Error Estimation for a PDE-Constrained Optimization Problem Involving the Generalized Oseen Equations","display_name":"A Posteriori Error Estimation for a PDE-Constrained Optimization Problem Involving the Generalized Oseen Equations","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2884685386","doi":"https://doi.org/10.1137/17m1139631","mag":"2884685386"},"language":"en","primary_location":{"id":"doi:10.1137/17m1139631","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1139631","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","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/A5015733916","display_name":"Alejandro Allendes","orcid":"https://orcid.org/0000-0002-3305-6823"},"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":"Alejandro Allendes","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Valpara\u00edso, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Valpara\u00edso, Chile","institution_ids":["https://openalex.org/I75778554"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044773525","display_name":"Enrique Ot\u00e1rola","orcid":"https://orcid.org/0000-0002-0812-5188"},"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":"Enrique Ot\u00e1rola","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Valpara\u00edso, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Valpara\u00edso, Chile","institution_ids":["https://openalex.org/I75778554"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016647975","display_name":"Richard Rankin","orcid":"https://orcid.org/0000-0001-6445-2602"},"institutions":[{"id":"https://openalex.org/I13591777","display_name":"University of Nottingham Ningbo China","ror":"https://ror.org/03y4dt428","country_code":"CN","type":"education","lineage":["https://openalex.org/I13591777","https://openalex.org/I142263535"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Richard Rankin","raw_affiliation_strings":["School of Mathematical Sciences, University of Nottingham Ningbo China, Ningbo, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Nottingham Ningbo China, Ningbo, China","institution_ids":["https://openalex.org/I13591777"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2082,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.51011137,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"40","issue":"4","first_page":"A2200","last_page":"A2233"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7930500507354736},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7712671160697937},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7516576051712036},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6162499785423279},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5998780131340027},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5762215852737427},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.563532292842865},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4675026834011078},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.44629085063934326},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4119291305541992},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1923454999923706}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7930500507354736},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7712671160697937},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7516576051712036},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6162499785423279},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5998780131340027},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5762215852737427},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.563532292842865},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4675026834011078},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.44629085063934326},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4119291305541992},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1923454999923706},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/17m1139631","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1139631","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:eprints.nottingham.ac.uk:55378","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196364","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1312887395","display_name":null,"funder_award_id":"BASAL PFB03 CMM","funder_id":"https://openalex.org/F4320323458","funder_display_name":"Universidad de Chile"},{"id":"https://openalex.org/G341900282","display_name":null,"funder_award_id":"116.12.1","funder_id":"https://openalex.org/F4320310976","funder_display_name":"Universidad T\u00e9cnica Federico Santa Mar\u00eda"},{"id":"https://openalex.org/G7671542397","display_name":null,"funder_award_id":"3160201","funder_id":"https://openalex.org/F4320325593","funder_display_name":"Consejo Nacional de Innovaci\u00f3n, Ciencia y Tecnolog\u00eda"}],"funders":[{"id":"https://openalex.org/F4320310976","display_name":"Universidad T\u00e9cnica Federico Santa Mar\u00eda","ror":"https://ror.org/05510vn56"},{"id":"https://openalex.org/F4320323458","display_name":"Universidad de Chile","ror":"https://ror.org/047gc3g35"},{"id":"https://openalex.org/F4320325593","display_name":"Consejo Nacional de Innovaci\u00f3n, Ciencia y Tecnolog\u00eda","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W45610985","https://openalex.org/W184188664","https://openalex.org/W253824085","https://openalex.org/W568723592","https://openalex.org/W1539568499","https://openalex.org/W1601728065","https://openalex.org/W1967040628","https://openalex.org/W1973166496","https://openalex.org/W1987696185","https://openalex.org/W1988674871","https://openalex.org/W1995404822","https://openalex.org/W1998697817","https://openalex.org/W2005268217","https://openalex.org/W2008630947","https://openalex.org/W2022585151","https://openalex.org/W2024034341","https://openalex.org/W2041523977","https://openalex.org/W2056253747","https://openalex.org/W2061407263","https://openalex.org/W2070299075","https://openalex.org/W2077931396","https://openalex.org/W2079227383","https://openalex.org/W2090721745","https://openalex.org/W2094464929","https://openalex.org/W2095060406","https://openalex.org/W2098872550","https://openalex.org/W2134582191","https://openalex.org/W2146598639","https://openalex.org/W2152799582","https://openalex.org/W2154159803","https://openalex.org/W2169689286","https://openalex.org/W2258665993","https://openalex.org/W2381246980","https://openalex.org/W2519971170","https://openalex.org/W2608555450","https://openalex.org/W2963138022","https://openalex.org/W2963139945","https://openalex.org/W3046101478","https://openalex.org/W3104068258","https://openalex.org/W4230088225"],"related_works":["https://openalex.org/W4388311650","https://openalex.org/W1974056099","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W563589758","https://openalex.org/W5922282","https://openalex.org/W2954004777","https://openalex.org/W2362625355","https://openalex.org/W1854082044","https://openalex.org/W3169007055"],"abstract_inverted_index":{"We":[0,120],"derive":[1],"globally":[2],"reliable":[3],"a":[4,9,51,73,89,98],"posteriori":[5,99],"error":[6,30,100,116],"estimators":[7,101],"for":[8,50,62,80,92],"linear-quadratic":[10],"optimal":[11],"control":[12,22],"problem":[13],"involving":[14],"the":[15,41,77,81,93,112,115,122],"generalized":[16],"Oseen":[17],"equations":[18,85],"as":[19,59,61],"state":[20,82],"equations;":[21],"constraints":[23],"are":[24,32,43,70,103],"also":[25],"considered.":[26],"The":[27,35],"corresponding":[28],"local":[29],"indicators":[31],"locally":[33],"efficient.":[34],"assumptions":[36],"under":[37],"which":[38],"we":[39],"perform":[40],"analysis":[42],"such":[44],"that":[45,102],"they":[46],"can":[47,117],"be":[48,118],"satisfied":[49],"wide":[52],"variety":[53],"of":[54,114],"stabilized":[55,68],"finite":[56,64],"element":[57,65],"methods":[58,69],"well":[60],"standard":[63],"methods.":[66],"When":[67],"considered,":[71],"no":[72],"priori":[74],"relation":[75],"between":[76],"stabilization":[78],"terms":[79],"and":[83,106],"adjoint":[84],"is":[86,96],"required.":[87],"If":[88],"lower":[90],"bound":[91],"inf-sup":[94],"constant":[95],"available,":[97],"fully":[104],"computable":[105],"provide":[107],"guaranteed":[108],"upper":[109],"bounds":[110],"on":[111],"norm":[113],"obtained.":[119],"illustrate":[121],"theory":[123],"with":[124],"numerical":[125],"examples.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
