{"id":"https://openalex.org/W1965923440","doi":"https://doi.org/10.1137/08074194x","title":"Optimal Control of Parameter-Dependent Convection-Diffusion Problems around Rigid Bodies","display_name":"Optimal Control of Parameter-Dependent Convection-Diffusion Problems around Rigid Bodies","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1965923440","doi":"https://doi.org/10.1137/08074194x","mag":"1965923440"},"language":"en","primary_location":{"id":"doi:10.1137/08074194x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/08074194x","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5058964815","display_name":"Timo Tonn","orcid":null},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Timo Tonn","raw_affiliation_strings":["timo.tonn@uni-ulm.de and karsten.urban@uni-ulm.de#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"timo.tonn@uni-ulm.de and karsten.urban@uni-ulm.de#TAB#","institution_ids":["https://openalex.org/I196349391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008601082","display_name":"Karsten Urban","orcid":"https://orcid.org/0000-0002-6262-7955"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karsten Urban","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5054865846","display_name":"Stefan Volkwein","orcid":"https://orcid.org/0000-0002-1930-1773"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stefan Volkwein","raw_affiliation_strings":["Stefan.Volkwein@uni-konstanz.de#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stefan.Volkwein@uni-konstanz.de#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6702,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.69879347,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"32","issue":"3","first_page":"1237","last_page":"1260"},"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":0.9986000061035156,"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":0.9979000091552734,"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/mathematics","display_name":"Mathematics","score":0.8122303485870361},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6696992516517639},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5816470384597778},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.5790578126907349},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5750131607055664},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5121402740478516},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5058884024620056},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4967249035835266},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.4798961877822876},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4447348117828369},{"id":"https://openalex.org/keywords/elliptic-partial-differential-equation","display_name":"Elliptic partial differential equation","score":0.4391269385814667},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4173278212547302},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23633238673210144},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.12933692336082458},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07367134094238281}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8122303485870361},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6696992516517639},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5816470384597778},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.5790578126907349},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5750131607055664},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5121402740478516},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5058884024620056},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4967249035835266},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.4798961877822876},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4447348117828369},{"id":"https://openalex.org/C54067925","wikidata":"https://www.wikidata.org/wiki/Q3607962","display_name":"Elliptic partial differential equation","level":3,"score":0.4391269385814667},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4173278212547302},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23633238673210144},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.12933692336082458},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07367134094238281},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/08074194x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/08074194x","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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":6,"referenced_works":["https://openalex.org/W1988744530","https://openalex.org/W2001809098","https://openalex.org/W2027395604","https://openalex.org/W2074571374","https://openalex.org/W2166422024","https://openalex.org/W4250028192"],"related_works":["https://openalex.org/W4285277090","https://openalex.org/W4327738859","https://openalex.org/W2348722996","https://openalex.org/W2334570605","https://openalex.org/W3181683615","https://openalex.org/W4286826125","https://openalex.org/W1633485514","https://openalex.org/W1980454230","https://openalex.org/W2300851791","https://openalex.org/W1982328599"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,41,53,65,70],"concerned":[3],"with":[4],"optimal":[5],"control":[6],"problems":[7,17,64],"of":[8,27,35,62,76,88],"elliptic":[9],"partial":[10,29],"differential":[11,30],"equations.":[12],"In":[13],"particular,":[14],"parametrized":[15],"convection-diffusion":[16],"are":[18,92],"considered,":[19],"where":[20],"the":[21,25,28,33,44,47,56,74,82,86],"parameter":[22],"appears":[23],"in":[24],"coefficients":[26],"equation.":[31],"Moreover,":[32],"presence":[34],"one":[36],"or":[37],"more":[38],"rigid":[39],"bodies":[40],"assumed":[42],"inside":[43],"domain.":[45],"Both":[46],"theory":[48],"(existence,":[49],"differentiability,":[50],"optimality":[51],"criteria)":[52],"investigated":[54],"and":[55,85],"numerical":[57,90],"solution":[58],"(projected":[59],"gradient":[60],"scheme)":[61],"such":[63],"carried":[66],"out.":[67],"Finally,":[68],"it":[69],"shown":[71],"that":[72],"optimizing":[73],"efficiency":[75],"a":[77],"rotating":[78],"propeller":[79],"fits":[80],"into":[81],"presented":[83],"framework,":[84],"results":[87],"corresponding":[89],"experiments":[91],"given.":[93]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}