{"id":"https://openalex.org/W2075938930","doi":"https://doi.org/10.1515/jnum-2012-0017","title":"A finite element BFGS algorithm for the reconstruction of the flow field generated by vortex rings","display_name":"A finite element BFGS algorithm for the reconstruction of the flow field generated by vortex rings","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2075938930","doi":"https://doi.org/10.1515/jnum-2012-0017","mag":"2075938930"},"language":"en","primary_location":{"id":"doi:10.1515/jnum-2012-0017","is_oa":false,"landing_page_url":"https://doi.org/10.1515/jnum-2012-0017","pdf_url":null,"source":{"id":"https://openalex.org/S60483245","display_name":"Journal of Numerical Mathematics","issn_l":"1569-3953","issn":["1569-3953","1570-2820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Numerical Mathematics","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/A5020915827","display_name":"Y. Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I4210105181","display_name":"Laboratoire de Math\u00e9matiques Rapha\u00ebl Salem","ror":"https://ror.org/01k1v7590","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210105181","https://openalex.org/I4210105918","https://openalex.org/I4210141950","https://openalex.org/I62396329"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Y. Zhang","raw_affiliation_strings":["Laboratoire de Math\u00b4ematiques Rapha\u00a8el Salem, Universit\u00b4e de Rouen, F-76801 Saint-\u00c9tienne-du-Rouvray, France","Laboratoire de Math\u00e9matiques Rapha\u00ebl Salem"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00b4ematiques Rapha\u00a8el Salem, Universit\u00b4e de Rouen, F-76801 Saint-\u00c9tienne-du-Rouvray, France","institution_ids":["https://openalex.org/I4210105181","https://openalex.org/I62396329"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Rapha\u00ebl Salem","institution_ids":["https://openalex.org/I4210105181"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025711562","display_name":"Ionut Danaila","orcid":"https://orcid.org/0000-0002-5563-345X"},"institutions":[{"id":"https://openalex.org/I4210105181","display_name":"Laboratoire de Math\u00e9matiques Rapha\u00ebl Salem","ror":"https://ror.org/01k1v7590","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210105181","https://openalex.org/I4210105918","https://openalex.org/I4210141950","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"I. Danaila","raw_affiliation_strings":["Laboratoire de Math\u00b4ematiques Rapha\u00a8el Salem, Universit\u00b4e de Rouen, F-76801 Saint-\u00c9tienne-du-Rouvray, France","Laboratoire de Math\u00e9matiques Rapha\u00ebl Salem"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00b4ematiques Rapha\u00a8el Salem, Universit\u00b4e de Rouen, F-76801 Saint-\u00c9tienne-du-Rouvray, France","institution_ids":["https://openalex.org/I4210105181","https://openalex.org/I62396329"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Rapha\u00ebl Salem","institution_ids":["https://openalex.org/I4210105181"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020915827"],"corresponding_institution_ids":["https://openalex.org/I4210105181","https://openalex.org/I62396329"],"apc_list":null,"apc_paid":null,"fwci":0.3429,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.62709891,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"20","issue":"3-4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","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/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9993000030517578,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9991000294685364,"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/vortex-ring","display_name":"Vortex ring","score":0.7212324738502502},{"id":"https://openalex.org/keywords/stream-function","display_name":"Stream function","score":0.6828631162643433},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.6638317704200745},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6394489407539368},{"id":"https://openalex.org/keywords/vorticity","display_name":"Vorticity","score":0.5829423069953918},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5630398988723755},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5193161368370056},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49958372116088867},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44859185814857483},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.41698768734931946},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.41332313418388367},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35666459798812866},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32493436336517334},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.313509464263916},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25647374987602234},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.24528783559799194}],"concepts":[{"id":"https://openalex.org/C168475990","wikidata":"https://www.wikidata.org/wiki/Q1030571","display_name":"Vortex ring","level":3,"score":0.7212324738502502},{"id":"https://openalex.org/C18932819","wikidata":"https://www.wikidata.org/wiki/Q2029236","display_name":"Stream function","level":4,"score":0.6828631162643433},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.6638317704200745},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6394489407539368},{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.5829423069953918},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5630398988723755},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5193161368370056},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49958372116088867},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44859185814857483},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.41698768734931946},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.41332313418388367},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35666459798812866},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32493436336517334},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.313509464263916},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25647374987602234},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.24528783559799194},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/jnum-2012-0017","is_oa":false,"landing_page_url":"https://doi.org/10.1515/jnum-2012-0017","pdf_url":null,"source":{"id":"https://openalex.org/S60483245","display_name":"Journal of Numerical Mathematics","issn_l":"1569-3953","issn":["1569-3953","1570-2820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Numerical Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02011559v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02011559","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Numerical Mathematics, 2012, 20 (3-4), ⟨10.1515/jnum-2012-0017⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6899999976158142,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W644396855","https://openalex.org/W1964499117","https://openalex.org/W1968385137","https://openalex.org/W1973970273","https://openalex.org/W1980452466","https://openalex.org/W1990834002","https://openalex.org/W2006611544","https://openalex.org/W2024639492","https://openalex.org/W2025437404","https://openalex.org/W2049167334","https://openalex.org/W2061543546","https://openalex.org/W2063928622","https://openalex.org/W2087857190","https://openalex.org/W2090612238","https://openalex.org/W2092680645","https://openalex.org/W2096137970","https://openalex.org/W2101506489","https://openalex.org/W2110898497","https://openalex.org/W2134066908","https://openalex.org/W2142195625","https://openalex.org/W2142931684","https://openalex.org/W3029645440","https://openalex.org/W3143496104"],"related_works":["https://openalex.org/W1588520598","https://openalex.org/W4283016284","https://openalex.org/W12946523","https://openalex.org/W353822608","https://openalex.org/W1974306347","https://openalex.org/W3205078033","https://openalex.org/W164802675","https://openalex.org/W1993954470","https://openalex.org/W1984087069","https://openalex.org/W2606698075"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}