{"id":"https://openalex.org/W3174526037","doi":"https://doi.org/10.1137/19m1294150","title":"Shape optimization for superconductors governed by H(curl)-elliptic variational inequalities","display_name":"Shape optimization for superconductors governed by H(curl)-elliptic variational inequalities","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3174526037","doi":"https://doi.org/10.1137/19m1294150","mag":"3174526037"},"language":"pt","primary_location":{"id":"pmh:003044248","is_oa":true,"landing_page_url":"https://doi.org/10.1137/19M1294150","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},"type":"article","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.1137/19M1294150","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yousept, Irwin","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yousept, Irwin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7123,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.65464018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.9984999895095825,"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":0.9984999895095825,"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":0.9979000091552734,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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":0.7685271501541138},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7248303294181824},{"id":"https://openalex.org/keywords/shape-optimization","display_name":"Shape optimization","score":0.6905772089958191},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.6733479499816895},{"id":"https://openalex.org/keywords/curl","display_name":"Curl (programming language)","score":0.5911252498626709},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5457046627998352},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5134721398353577},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4383580684661865},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3734961748123169},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10593822598457336},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08277910947799683}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7685271501541138},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7248303294181824},{"id":"https://openalex.org/C29513896","wikidata":"https://www.wikidata.org/wiki/Q7489239","display_name":"Shape optimization","level":3,"score":0.6905772089958191},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6733479499816895},{"id":"https://openalex.org/C147663694","wikidata":"https://www.wikidata.org/wiki/Q1144631","display_name":"Curl (programming language)","level":2,"score":0.5911252498626709},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5457046627998352},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5134721398353577},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4383580684661865},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3734961748123169},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10593822598457336},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08277910947799683},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:003044248","is_oa":true,"landing_page_url":"https://doi.org/10.1137/19M1294150","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:003044248","is_oa":true,"landing_page_url":"https://doi.org/10.1137/19M1294150","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1485615919","display_name":null,"funder_award_id":"YO 159/2-2","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4459137261","display_name":null,"funder_award_id":"408175/2018-4","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G4831202469","display_name":null,"funder_award_id":"2016/24776-6","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G7251383352","display_name":null,"funder_award_id":"304258/2018-0","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G733424085","display_name":null,"funder_award_id":"302493/2015-8","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W194464973","https://openalex.org/W1009267775","https://openalex.org/W1575626747","https://openalex.org/W1970963843","https://openalex.org/W1989789314","https://openalex.org/W1998253133","https://openalex.org/W2004041579","https://openalex.org/W2007810692","https://openalex.org/W2008565273","https://openalex.org/W2010497258","https://openalex.org/W2010852247","https://openalex.org/W2016413885","https://openalex.org/W2021916763","https://openalex.org/W2028344446","https://openalex.org/W2033780461","https://openalex.org/W2042818847","https://openalex.org/W2062618977","https://openalex.org/W2067860458","https://openalex.org/W2080283002","https://openalex.org/W2081700439","https://openalex.org/W2102017592","https://openalex.org/W2103748111","https://openalex.org/W2141882285","https://openalex.org/W2141886996","https://openalex.org/W2152754773","https://openalex.org/W2167672712","https://openalex.org/W2491155384","https://openalex.org/W2539341121","https://openalex.org/W2739940524","https://openalex.org/W2763238702","https://openalex.org/W2886044459","https://openalex.org/W2894749687","https://openalex.org/W2923930390","https://openalex.org/W2963067150","https://openalex.org/W2964033569","https://openalex.org/W2988504802","https://openalex.org/W3036495273","https://openalex.org/W3037656181","https://openalex.org/W3043068951","https://openalex.org/W4231269780"],"related_works":["https://openalex.org/W2382844561","https://openalex.org/W2083529992","https://openalex.org/W816511862","https://openalex.org/W2238883956","https://openalex.org/W2643941443","https://openalex.org/W2948362504","https://openalex.org/W2986689036","https://openalex.org/W2160346411","https://openalex.org/W2088151604","https://openalex.org/W2069564184"],"abstract_inverted_index":{"This":[0,108],"paper":[1],"is":[2,23,95,157],"devoted":[3],"to":[4,24,98,112,140,146],"the":[5,40,50,62,71,76,80,88,99,103,114,119,127,130,147,154,161,181,195],"theoretical":[6,163],"and":[7,75,150,176,191],"numerical":[8,168],"study":[9],"of":[10,47,61,102,118,129,153,194],"an":[11,26,55,66],"optimal":[12,27],"design":[13],"problem":[14,22,156],"in":[15,203],"high-temperature":[16],"superconductivity":[17],"(HTS).":[18],"The":[19,134],"shape":[20,29,82,116,124,136],"optimization":[21],"find":[25],"superconductor":[28],"minimizes":[30],"a":[31,36,44,90,172,177,189,199],"certain":[32],"cost":[33,120],"functional":[34,121],"under":[35],"given":[37],"target":[38],"on":[39,126,160],"electric":[41],"field":[42],"over":[43],"specific":[45,200],"domain":[46],"interest.":[48],"For":[49],"governing":[51],"PDE-model,":[52],"we":[53,165],"consider":[54],"elliptic":[56],"curl-curl":[57],"variational":[58],"inequality":[59],"(VI)":[60],"second":[63],"kind":[64],"with":[65,144,180],"L1-type":[67],"nonlinearity.":[68],"In":[69],"particular,":[70],"nonsmooth":[72],"VI":[73,93],"character":[74],"involved":[77],"H(curl)-structure":[78],"make":[79],"corresponding":[81,104],"sensitivity":[83],"analysis":[84],"challenging.":[85],"To":[86],"tackle":[87],"nonsmoothness,":[89],"penalized":[91,155],"dual":[92,105],"formulation":[94],"proposed,":[96],"leading":[97],"Gateaux":[100],"differentiability":[101],"variable":[106],"mapping.":[107],"property":[109],"allows":[110],"us":[111],"derive":[113],"distributed":[115],"derivative":[117,137],"through":[122],"rigorous":[123],"calculus":[125],"basis":[128],"averaged":[131],"adjoint":[132],"method.":[133],"developed":[135],"turns":[138],"out":[139],"be":[141],"uniformly":[142],"stable":[143],"respect":[145],"penalization":[148],"parameter,":[149],"strong":[151],"convergence":[152],"guaranteed.":[158],"Based":[159],"achieved":[162],"findings,":[164],"propose":[166],"three-dimensional":[167],"solutions,":[169],"realized":[170],"using":[171],"level":[173],"set":[174],"algorithm":[175],"Newton":[178],"method":[179],"N\u00e9d\u00e9lec":[182],"edge":[183],"element":[184],"discretization.":[185],"Numerical":[186],"results":[187],"indicate":[188],"favorable":[190],"efficient":[192],"performance":[193],"proposed":[196],"approach":[197],"for":[198],"HTS":[201],"application":[202],"superconducting":[204],"shielding.":[205]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-10-10T00:00:00"}
