{"id":"https://openalex.org/W2153751639","doi":"https://doi.org/10.1080/10556780500140052","title":"Primal\u2013dual active set method for control constrained optimal control of the Stokes equations","display_name":"Primal\u2013dual active set method for control constrained optimal control of the Stokes equations","publication_year":2005,"publication_date":"2005-11-29","ids":{"openalex":"https://openalex.org/W2153751639","doi":"https://doi.org/10.1080/10556780500140052","mag":"2153751639"},"language":"en","primary_location":{"id":"doi:10.1080/10556780500140052","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556780500140052","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","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/A5068217099","display_name":"Juan Carlos De los Reyes","orcid":"https://orcid.org/0000-0003-2761-5382"},"institutions":[{"id":"https://openalex.org/I4210102282","display_name":"Universidad de Las Am\u00e9ricas","ror":"https://ror.org/0198j4566","country_code":"EC","type":"education","lineage":["https://openalex.org/I4210102282"]},{"id":"https://openalex.org/I4210104854","display_name":"National Polytechnic School","ror":null,"country_code":"EC","type":null,"lineage":["https://openalex.org/I4210104854"]},{"id":"https://openalex.org/I69094615","display_name":"Universidad San Francisco de Quito","ror":"https://ror.org/01r2c3v86","country_code":"EC","type":"education","lineage":["https://openalex.org/I69094615"]},{"id":"https://openalex.org/I70764802","display_name":"National Polytechnic School","ror":"https://ror.org/01gb99w41","country_code":"EC","type":"education","lineage":["https://openalex.org/I70764802"]}],"countries":["EC"],"is_corresponding":true,"raw_author_name":"J. C. De Los Reyes","raw_affiliation_strings":["Departamento de Matem\u00e1tica, EPN Quito, Quito, Ecuador","Departamento de Matem\u00e1tica , EPN Quito, Quito, Ecuador"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, EPN Quito, Quito, Ecuador","institution_ids":["https://openalex.org/I4210102282","https://openalex.org/I4210104854","https://openalex.org/I69094615"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica , EPN Quito, Quito, Ecuador","institution_ids":["https://openalex.org/I70764802"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5068217099"],"corresponding_institution_ids":["https://openalex.org/I4210102282","https://openalex.org/I4210104854","https://openalex.org/I69094615","https://openalex.org/I70764802"],"apc_list":null,"apc_paid":null,"fwci":0.3713,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.6623595,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"21","issue":"2","first_page":"267","last_page":"293"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9988999962806702,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/pointwise","display_name":"Pointwise","score":0.8900806903839111},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7002978324890137},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6343749761581421},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6127179861068726},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5769705772399902},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.570671558380127},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5513592958450317},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.528740406036377},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5224327445030212},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.5073830485343933},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.44086769223213196},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4331144392490387},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.41237324476242065},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3887016475200653},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33159559965133667},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32330480217933655},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2487444281578064}],"concepts":[{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.8900806903839111},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7002978324890137},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6343749761581421},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6127179861068726},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5769705772399902},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.570671558380127},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5513592958450317},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.528740406036377},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5224327445030212},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.5073830485343933},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.44086769223213196},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4331144392490387},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.41237324476242065},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3887016475200653},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33159559965133667},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32330480217933655},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2487444281578064},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10556780500140052","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556780500140052","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W89839489","https://openalex.org/W1488721774","https://openalex.org/W1510510199","https://openalex.org/W1601741115","https://openalex.org/W1674659126","https://openalex.org/W1977135073","https://openalex.org/W1980812397","https://openalex.org/W2022977680","https://openalex.org/W2026365342","https://openalex.org/W2045940260","https://openalex.org/W2070584352","https://openalex.org/W2073943124","https://openalex.org/W2074190491","https://openalex.org/W2076582418","https://openalex.org/W2091525636","https://openalex.org/W2135572939","https://openalex.org/W2138026757","https://openalex.org/W2171467378","https://openalex.org/W3042562017","https://openalex.org/W3148800415","https://openalex.org/W4250028192","https://openalex.org/W4252104256","https://openalex.org/W4285719527","https://openalex.org/W4297789110","https://openalex.org/W4298228534"],"related_works":["https://openalex.org/W2140020064","https://openalex.org/W143502885","https://openalex.org/W42113618","https://openalex.org/W2103468410","https://openalex.org/W1856228368","https://openalex.org/W3125316422","https://openalex.org/W1972598260","https://openalex.org/W2043909370","https://openalex.org/W1971691188","https://openalex.org/W2473886221"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4],"the":[5,12,16,25,46,50,53,62,69,75,80,84,93,102,105],"distributed":[6,54],"and":[7,35,57],"boundary":[8,70],"optimal":[9],"control":[10,20,71],"of":[11,18,24,49,77,79,92,104],"Stokes":[13],"equations":[14],"in":[15],"presence":[17],"pointwise":[19,81],"constraints.":[21],"The":[22],"analysis":[23],"problems":[26],"involve":[27],"existence":[28],"results,":[29],"as":[30,32],"well":[31],"necessary":[33],"conditions":[34],"optimality":[36],"systems.":[37],"A":[38],"primal\u2013dual":[39],"active":[40],"set":[41],"strategy":[42],"is":[43,86],"studied":[44],"for":[45,61,107],"numerical":[47,98],"solution":[48],"problems.":[51],"For":[52,68],"case,":[55,72],"global":[56],"local":[58],"convergence":[59],"results":[60],"infinite":[63],"dimensional":[64],"method":[65,85,106],"are":[66,110],"presented.":[67],"due":[73],"to":[74,88],"lack":[76],"regularity":[78],"constraint":[82],"multiplier,":[83],"applied":[87],"a":[89],"discretized":[90],"version":[91],"original":[94],"problem.":[95],"Finally,":[96],"some":[97],"experiments,":[99],"which":[100],"illustrate":[101],"performance":[103],"both":[108],"cases,":[109],"commented.":[111]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}