{"id":"https://openalex.org/W2058059020","doi":"https://doi.org/10.1007/s10589-009-9299-5","title":"On saturation effects in the Neumann boundary control of elliptic optimal control problems","display_name":"On saturation effects in the Neumann boundary control of elliptic optimal control problems","publication_year":2009,"publication_date":"2009-11-11","ids":{"openalex":"https://openalex.org/W2058059020","doi":"https://doi.org/10.1007/s10589-009-9299-5","mag":"2058059020"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-009-9299-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-009-9299-5","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10651/5946","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054687748","display_name":"Mariano Mateos","orcid":"https://orcid.org/0000-0003-3100-412X"},"institutions":[{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Mariano Mateos","raw_affiliation_strings":["Dpto. de Matem\u00e1ticas, E.U.I.T.I. de Gij\u00f3n, Universidad de Oviedo, Campus de Gij\u00f3n, 33203, Gij\u00f3n, Spain","Dpto. de Matem\u00e1ticas, E.U.I.T.I. de Gij\u00f3n, Universidad de Oviedo, Gij\u00f3n, Spain 33203#TAB#"],"affiliations":[{"raw_affiliation_string":"Dpto. de Matem\u00e1ticas, E.U.I.T.I. de Gij\u00f3n, Universidad de Oviedo, Campus de Gij\u00f3n, 33203, Gij\u00f3n, Spain","institution_ids":["https://openalex.org/I165339363"]},{"raw_affiliation_string":"Dpto. de Matem\u00e1ticas, E.U.I.T.I. de Gij\u00f3n, Universidad de Oviedo, Gij\u00f3n, Spain 33203#TAB#","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073486661","display_name":"Arnd R\u00f6sch","orcid":"https://orcid.org/0009-0001-2163-7153"},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Arnd R\u00f6sch","raw_affiliation_strings":["Fachbereich Mathematik, Universit\u00e4t Duisburg-Essen, Forsthausweg 2, 47057, Duisburg, Germany","Fachbereich Mathematik, Universit\u00e4t Duisburg-Essen, Duisburg, Germany 47057#TAB#"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Universit\u00e4t Duisburg-Essen, Forsthausweg 2, 47057, Duisburg, Germany","institution_ids":["https://openalex.org/I62318514"]},{"raw_affiliation_string":"Fachbereich Mathematik, Universit\u00e4t Duisburg-Essen, Duisburg, Germany 47057#TAB#","institution_ids":["https://openalex.org/I62318514"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054687748"],"corresponding_institution_ids":["https://openalex.org/I165339363"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.1399,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.8736587,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"49","issue":"2","first_page":"359","last_page":"378"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9990000128746033,"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":0.9976999759674072,"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":0.8657054901123047},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6839957237243652},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.6718560457229614},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.611844539642334},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5875645875930786},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.5811640620231628},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5519954562187195},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.49155697226524353},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4877694249153137},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47917237877845764},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4476006031036377},{"id":"https://openalex.org/keywords/saturation","display_name":"Saturation (graph theory)","score":0.41803717613220215},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40334171056747437},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.28366684913635254},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.26185113191604614},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10503038763999939}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8657054901123047},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6839957237243652},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.6718560457229614},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.611844539642334},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5875645875930786},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.5811640620231628},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5519954562187195},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.49155697226524353},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4877694249153137},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47917237877845764},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4476006031036377},{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.41803717613220215},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40334171056747437},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28366684913635254},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26185113191604614},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10503038763999939},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-009-9299-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-009-9299-5","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:digibuo.uniovi.es:10651/5946","is_oa":true,"landing_page_url":"http://hdl.handle.net/10651/5946","pdf_url":null,"source":{"id":"https://openalex.org/S4306402334","display_name":"Consultation of the Doctoral Thesis Database (TESEO) (Ministerio de Educaci\u00f3n, Cultura y Deporte)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801976130","host_organization_name":"Ministerio de Educaci\u00f3n Cultura y Deporte","host_organization_lineage":["https://openalex.org/I2801976130"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WOK","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:digibuo.uniovi.es:10651/5946","is_oa":true,"landing_page_url":"http://hdl.handle.net/10651/5946","pdf_url":null,"source":{"id":"https://openalex.org/S4306402334","display_name":"Consultation of the Doctoral Thesis Database (TESEO) (Ministerio de Educaci\u00f3n, Cultura y Deporte)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801976130","host_organization_name":"Ministerio de Educaci\u00f3n Cultura y Deporte","host_organization_lineage":["https://openalex.org/I2801976130"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WOK","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W126240089","https://openalex.org/W1492326914","https://openalex.org/W1498729261","https://openalex.org/W1586623601","https://openalex.org/W1981159109","https://openalex.org/W1981611107","https://openalex.org/W1984479582","https://openalex.org/W1996778903","https://openalex.org/W2000039609","https://openalex.org/W2005436751","https://openalex.org/W2009134079","https://openalex.org/W2014311013","https://openalex.org/W2031821805","https://openalex.org/W2064180255","https://openalex.org/W2100279133","https://openalex.org/W2103018972","https://openalex.org/W2597248869","https://openalex.org/W4250220742","https://openalex.org/W4292166829"],"related_works":["https://openalex.org/W1999631592","https://openalex.org/W2506697880","https://openalex.org/W2063899632","https://openalex.org/W2014656362","https://openalex.org/W2000039609","https://openalex.org/W1975047557","https://openalex.org/W2964044912","https://openalex.org/W2046313492","https://openalex.org/W2729923768","https://openalex.org/W4225959963"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}