{"id":"https://openalex.org/W2075205943","doi":"https://doi.org/10.1137/s1052623498343131","title":"A Comparison of a Moreau--Yosida-Based Active Set Strategy and Interior Point Methods for Constrained Optimal Control Problems","display_name":"A Comparison of a Moreau--Yosida-Based Active Set Strategy and Interior Point Methods for Constrained Optimal Control Problems","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2075205943","doi":"https://doi.org/10.1137/s1052623498343131","mag":"2075205943"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623498343131","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623498343131","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","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/A5014906860","display_name":"Ma\u0131\u0308tine Bergounioux","orcid":"https://orcid.org/0000-0001-7533-6957"},"institutions":[{"id":"https://openalex.org/I4210131315","display_name":"Laboratoire de Math\u00e9matiques Analyse, Probabilit\u00e9s, Mod\u00e9lisation Orl\u00e9ans","ror":"https://ror.org/03d6rdf69","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12449238","https://openalex.org/I1294671590","https://openalex.org/I4210131315","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. Bergounioux","raw_affiliation_strings":["Math\u00e9matiques - Analyse, Probabilit\u00e9s, Mod\u00e9lisation - Orl\u00e9ans"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Math\u00e9matiques - Analyse, Probabilit\u00e9s, Mod\u00e9lisation - Orl\u00e9ans","institution_ids":["https://openalex.org/I4210131315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066693381","display_name":"Mounir Haddou","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131315","display_name":"Laboratoire de Math\u00e9matiques Analyse, Probabilit\u00e9s, Mod\u00e9lisation Orl\u00e9ans","ror":"https://ror.org/03d6rdf69","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12449238","https://openalex.org/I1294671590","https://openalex.org/I4210131315","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. Haddou","raw_affiliation_strings":["Math\u00e9matiques - Analyse, Probabilit\u00e9s, Mod\u00e9lisation - Orl\u00e9ans"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Math\u00e9matiques - Analyse, Probabilit\u00e9s, Mod\u00e9lisation - Orl\u00e9ans","institution_ids":["https://openalex.org/I4210131315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062202097","display_name":"Michael Hinterm\u00fcller","orcid":"https://orcid.org/0000-0001-9471-2479"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"M. Hinterm\u00fcller","raw_affiliation_strings":["Institut f\u00fcr Mathematik [Graz]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik [Graz]","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074607617","display_name":"Karl Kunisch","orcid":"https://orcid.org/0000-0003-1113-7355"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"K. Kunisch","raw_affiliation_strings":["Institut f\u00fcr Mathematik [Graz]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik [Graz]","institution_ids":["https://openalex.org/I4092182"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.0268,"has_fulltext":false,"cited_by_count":125,"citation_normalized_percentile":{"value":0.98650568,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"11","issue":"2","first_page":"495","last_page":"521"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.996999979019165,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8031740188598633},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.6135287284851074},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.5936552882194519},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5522583723068237},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5417043566703796},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5068956017494202},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4825960397720337},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.45933523774147034},{"id":"https://openalex.org/keywords/control-point","display_name":"Control point","score":0.4287458062171936},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42600440979003906},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17506876587867737},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15903005003929138}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8031740188598633},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6135287284851074},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.5936552882194519},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5522583723068237},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5417043566703796},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5068956017494202},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4825960397720337},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.45933523774147034},{"id":"https://openalex.org/C2777774050","wikidata":"https://www.wikidata.org/wiki/Q16945110","display_name":"Control point","level":2,"score":0.4287458062171936},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42600440979003906},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17506876587867737},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15903005003929138},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1052623498343131","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623498343131","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1509805685","https://openalex.org/W1518039036","https://openalex.org/W1539280904","https://openalex.org/W1573409602","https://openalex.org/W1581563506","https://openalex.org/W1977135073","https://openalex.org/W1978115826","https://openalex.org/W1979261366","https://openalex.org/W1981315194","https://openalex.org/W1983719058","https://openalex.org/W1992386684","https://openalex.org/W1995535418","https://openalex.org/W2002230262","https://openalex.org/W2004556812","https://openalex.org/W2005515783","https://openalex.org/W2006884874","https://openalex.org/W2008062072","https://openalex.org/W2008772536","https://openalex.org/W2014885585","https://openalex.org/W2024541916","https://openalex.org/W2043845373","https://openalex.org/W2043868859","https://openalex.org/W2057184057","https://openalex.org/W2059527489","https://openalex.org/W2069426496","https://openalex.org/W2070530919","https://openalex.org/W2085548605","https://openalex.org/W2086867325","https://openalex.org/W2111152960","https://openalex.org/W2121623735","https://openalex.org/W2151353012","https://openalex.org/W2167924593","https://openalex.org/W2170451819","https://openalex.org/W4230272019","https://openalex.org/W4246224179","https://openalex.org/W4302519795"],"related_works":["https://openalex.org/W4378529241","https://openalex.org/W2483828597","https://openalex.org/W2094757704","https://openalex.org/W2088213153","https://openalex.org/W2064842217","https://openalex.org/W2071063111","https://openalex.org/W2154951198","https://openalex.org/W25030584","https://openalex.org/W4213068817","https://openalex.org/W1522454594"],"abstract_inverted_index":{"This":[0],"research":[1],"is":[2,22],"devoted":[3],"to":[4],"the":[5],"numerical":[6],"solution":[7],"of":[8,41],"constrained":[9],"optimal":[10],"control":[11],"problems":[12],"governed":[13],"by":[14],"elliptic":[15],"partial":[16],"differential":[17],"equations.":[18],"The":[19],"main":[20],"purpose":[21],"a":[23,26],"comparison":[24],"between":[25],"recently":[27],"developed":[28],"Moreau--Yosida-based":[29],"active":[30],"set":[31],"strategy":[32],"involving":[33],"primal":[34],"and":[35,38],"dual":[36],"variables":[37],"two":[39],"implementations":[40],"interior":[42],"point":[43],"algorithms.":[44]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
