{"id":"https://openalex.org/W4385727055","doi":"https://doi.org/10.1007/s00211-023-01367-7","title":"Least-squares finite elements for distributed optimal control problems","display_name":"Least-squares finite elements for distributed optimal control problems","publication_year":2023,"publication_date":"2023-08-01","ids":{"openalex":"https://openalex.org/W4385727055","doi":"https://doi.org/10.1007/s00211-023-01367-7"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-023-01367-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-023-01367-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","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/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":true,"raw_author_name":"Thomas F\u00fchrer","raw_affiliation_strings":["Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Santiago, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Santiago, Chile","institution_ids":["https://openalex.org/I162148367"]}]},{"author_position":"last","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":"Michael Karkulik","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"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012941359"],"corresponding_institution_ids":["https://openalex.org/I162148367"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.9651,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.67414369,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"154","issue":"3-4","first_page":"409","last_page":"442"},"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":1.0,"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":1.0,"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":0.9993000030517578,"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/T10514","display_name":"Numerical methods in engineering","score":0.9943000078201294,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.817654013633728},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6657533645629883},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6504366397857666},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.627135157585144},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6042301654815674},{"id":"https://openalex.org/keywords/moving-least-squares","display_name":"Moving least squares","score":0.5801020860671997},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5161793828010559},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5010716915130615},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4957078695297241},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.49025681614875793},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47268301248550415},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.46791011095046997},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4638272523880005},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4289868474006653},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2532922327518463}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.817654013633728},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6657533645629883},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6504366397857666},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.627135157585144},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6042301654815674},{"id":"https://openalex.org/C2780580100","wikidata":"https://www.wikidata.org/wiki/Q6927143","display_name":"Moving least squares","level":2,"score":0.5801020860671997},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5161793828010559},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5010716915130615},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4957078695297241},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.49025681614875793},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47268301248550415},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.46791011095046997},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4638272523880005},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4289868474006653},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2532922327518463},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-023-01367-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-023-01367-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","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":27,"referenced_works":["https://openalex.org/W592911714","https://openalex.org/W1545761024","https://openalex.org/W1601728065","https://openalex.org/W1820125862","https://openalex.org/W1965034652","https://openalex.org/W1976140148","https://openalex.org/W1989895848","https://openalex.org/W1993072133","https://openalex.org/W2060546108","https://openalex.org/W2063132464","https://openalex.org/W2076257978","https://openalex.org/W2087987788","https://openalex.org/W2094792403","https://openalex.org/W2132292023","https://openalex.org/W2483549946","https://openalex.org/W2811411416","https://openalex.org/W2964326343","https://openalex.org/W2964350793","https://openalex.org/W3026107598","https://openalex.org/W3046457476","https://openalex.org/W3112508680","https://openalex.org/W3135041483","https://openalex.org/W3135337288","https://openalex.org/W3156968244","https://openalex.org/W4231269780","https://openalex.org/W4324356881","https://openalex.org/W4385727055"],"related_works":["https://openalex.org/W2080809482","https://openalex.org/W2047770746","https://openalex.org/W2593263791","https://openalex.org/W1996322735","https://openalex.org/W137108797","https://openalex.org/W2119544289","https://openalex.org/W3137085931","https://openalex.org/W2050829265","https://openalex.org/W1998397343","https://openalex.org/W2083638730"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}