{"id":"https://openalex.org/W2073943124","doi":"https://doi.org/10.1137/030601259","title":"A SQP-Semismooth Newton-type Algorithm applied to Control of the instationary Navier--Stokes System Subject to Control Constraints","display_name":"A SQP-Semismooth Newton-type Algorithm applied to Control of the instationary Navier--Stokes System Subject to Control Constraints","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2073943124","doi":"https://doi.org/10.1137/030601259","mag":"2073943124"},"language":"en","primary_location":{"id":"doi:10.1137/030601259","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030601259","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":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/A_SQP-semismooth_Newton-type_algorithm_applied_to_control_of_the_instationary_Navier-Stokes_system_subject_to_control_constraints/23332814","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062202097","display_name":"Michael Hinterm\u00fcller","orcid":"https://orcid.org/0000-0001-9471-2479"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Hinterm\u00fcller","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5080919362","display_name":"Michael Hinze","orcid":"https://orcid.org/0000-0001-9688-0150"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Hinze","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.6297,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.97219234,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"16","issue":"4","first_page":"1177","last_page":"1200"},"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":0.9973000288009644,"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":0.9973000288009644,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.9063541889190674},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7099097967147827},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6991198062896729},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.6400439143180847},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5623149871826172},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.552038848400116},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.515552282333374},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.500805139541626},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4375869035720825},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4307094216346741},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4100409150123596},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3738662302494049},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.28536146879196167},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2107880413532257},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18293428421020508},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07411214709281921},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.06924930214881897}],"concepts":[{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.9063541889190674},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7099097967147827},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6991198062896729},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.6400439143180847},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5623149871826172},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.552038848400116},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.515552282333374},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.500805139541626},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4375869035720825},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4307094216346741},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4100409150123596},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3738662302494049},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.28536146879196167},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2107880413532257},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18293428421020508},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07411214709281921},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.06924930214881897},{"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/030601259","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030601259","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"},{"id":"pmh:oai:figshare.com:article/23332814","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/A_SQP-semismooth_Newton-type_algorithm_applied_to_control_of_the_instationary_Navier-Stokes_system_subject_to_control_constraints/23332814","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:scholarship.rice.edu:1911/102007","is_oa":false,"landing_page_url":"http://hdl.handle.net/1911/102007","pdf_url":null,"source":{"id":"https://openalex.org/S4306401268","display_name":"Rice Digital Scholarship Archive (Rice University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I74775410","host_organization_name":"Rice University","host_organization_lineage":["https://openalex.org/I74775410"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Technical report"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/23332814","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/A_SQP-semismooth_Newton-type_algorithm_applied_to_control_of_the_instationary_Navier-Stokes_system_subject_to_control_constraints/23332814","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W144409686","https://openalex.org/W589445562","https://openalex.org/W1510510199","https://openalex.org/W1513026061","https://openalex.org/W1533889494","https://openalex.org/W1540131774","https://openalex.org/W1794301351","https://openalex.org/W1973254632","https://openalex.org/W1977135073","https://openalex.org/W1981159109","https://openalex.org/W1986476868","https://openalex.org/W1993133781","https://openalex.org/W1993647205","https://openalex.org/W2018383942","https://openalex.org/W2026365342","https://openalex.org/W2048369486","https://openalex.org/W2057576183","https://openalex.org/W2060547843","https://openalex.org/W2067383151","https://openalex.org/W2070584352","https://openalex.org/W2075205943","https://openalex.org/W2075659940","https://openalex.org/W2077186677","https://openalex.org/W2087003257","https://openalex.org/W2091515296","https://openalex.org/W2094071750","https://openalex.org/W2094708316","https://openalex.org/W2107501462","https://openalex.org/W2131839236","https://openalex.org/W2141163505","https://openalex.org/W2144965974","https://openalex.org/W2167904963","https://openalex.org/W2477040106","https://openalex.org/W3023314255","https://openalex.org/W4206111119"],"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/W1495847109","https://openalex.org/W3197542402","https://openalex.org/W1997284724","https://openalex.org/W2562964647","https://openalex.org/W4311074794"],"abstract_inverted_index":{"SQP":[0,31],"methods":[1],"for":[2,52,76,99],"the":[3,7,15,21,24,26,40,55,71,82,85,88,104,122,134],"optimal":[4],"control":[5,16],"of":[6,23,30,73,81,87,103,119,121],"instationary":[8],"Navier--Stokes":[9],"equations":[10,93],"with":[11,127],"pointwise":[12],"constraints":[13],"on":[14,70,130],"are":[17,107],"considered.":[18],"Due":[19],"to":[20,39,114],"presence":[22],"constraints,":[25],"quadratic":[27,117],"subproblems":[28],"(QPs)":[29],"require":[32],"a":[33,46,91,116,128],"more":[34],"sophisticated":[35],"solver":[36],"when":[37],"compared":[38],"unconstrained":[41],"case.":[42],"In":[43],"this":[44],"paper,":[45],"semismooth":[47],"Newton":[48],"method":[49],"is":[50,61,95],"proposed":[51],"efficiently":[53],"solving":[54],"QPs.":[56],"The":[57,124],"convergence":[58,80,120],"analysis,":[59],"which":[60],"performed":[62],"in":[63,110],"an":[64],"appropriate":[65],"function":[66],"space":[67],"setting,":[68],"relies":[69],"concept":[72],"slant":[74],"differentiability":[75],"proving":[77],"locally":[78],"superlinear":[79],"QP-solver.":[83],"For":[84],"analysis":[86],"outer":[89],"SQP-iteration":[90],"generalized":[92,105],"approach":[94],"utilized.":[96],"Sufficient":[97],"conditions":[98],"guaranteeing":[100],"strong":[101],"regularity":[102],"equation":[106],"established":[108],"which,":[109],"turn,":[111],"allows":[112],"one":[113],"argue":[115],"rate":[118],"SQP-method.":[123],"paper":[125],"ends":[126],"report":[129],"numerical":[131],"results":[132],"supporting":[133],"theoretical":[135],"findings.":[136]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
