{"id":"https://openalex.org/W2785064227","doi":"https://doi.org/10.1007/s10208-018-9373-4","title":"Finite Element Approximation of the Spectrum of the Curl Operator in a Multiply Connected Domain","display_name":"Finite Element Approximation of the Spectrum of the Curl Operator in a Multiply Connected Domain","publication_year":2018,"publication_date":"2018-01-23","ids":{"openalex":"https://openalex.org/W2785064227","doi":"https://doi.org/10.1007/s10208-018-9373-4","mag":"2785064227"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-018-9373-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-018-9373-4","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11572/196903","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040637411","display_name":"A. Alonso-Rodr\u00edguez","orcid":null},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Alonso-Rodr\u00edguez","raw_affiliation_strings":["Department of Mathematics, University of Trento, Trento, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Trento, Trento, Italy","institution_ids":["https://openalex.org/I193223587"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037328389","display_name":"Jessika Cama\u00f1o","orcid":"https://orcid.org/0000-0001-7742-2250"},"institutions":[{"id":"https://openalex.org/I172787465","display_name":"University of Concepci\u00f3n","ror":"https://ror.org/0460jpj73","country_code":"CL","type":"education","lineage":["https://openalex.org/I172787465"]},{"id":"https://openalex.org/I38685851","display_name":"Universidad Cat\u00f3lica de la Sant\u00edsima Concepci\u00f3n","ror":"https://ror.org/03y6k2j68","country_code":"CL","type":"education","lineage":["https://openalex.org/I38685851"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"J. Cama\u00f1o","raw_affiliation_strings":["CI2MA, Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","Departamento de Matem\u00e1tica y F\u00edsica Aplicadas, Universidad Cat\u00f3lica de la Sant\u00edsima Concepci\u00f3n, Concepci\u00f3n, Chile"],"affiliations":[{"raw_affiliation_string":"CI2MA, Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica y F\u00edsica Aplicadas, Universidad Cat\u00f3lica de la Sant\u00edsima Concepci\u00f3n, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I38685851"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054855773","display_name":"Rodolfo Rodr\u0131\u0301guez","orcid":"https://orcid.org/0000-0003-1286-7472"},"institutions":[{"id":"https://openalex.org/I172787465","display_name":"University of Concepci\u00f3n","ror":"https://ror.org/0460jpj73","country_code":"CL","type":"education","lineage":["https://openalex.org/I172787465"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"R. Rodr\u00edguez","raw_affiliation_strings":["CI2MA, Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile"],"affiliations":[{"raw_affiliation_string":"CI2MA, Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042052732","display_name":"Alberto Valli","orcid":"https://orcid.org/0000-0002-6281-3221"},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Valli","raw_affiliation_strings":["Department of Mathematics, University of Trento, Trento, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Trento, Trento, Italy","institution_ids":["https://openalex.org/I193223587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022521159","display_name":"Pablo Venegas","orcid":"https://orcid.org/0000-0001-8116-3263"},"institutions":[{"id":"https://openalex.org/I221450849","display_name":"University of B\u00edo-B\u00edo","ror":"https://ror.org/04dndfk38","country_code":"CL","type":"education","lineage":["https://openalex.org/I221450849"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"P. Venegas","raw_affiliation_strings":["GIMNAP, Departamento de Matem\u00e1tica, Universidad del B\u00edo B\u00edo, Concepci\u00f3n, Chile"],"affiliations":[{"raw_affiliation_string":"GIMNAP, Departamento de Matem\u00e1tica, Universidad del B\u00edo B\u00edo, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I221450849"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5037328389"],"corresponding_institution_ids":["https://openalex.org/I172787465","https://openalex.org/I38685851"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6241,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.6364397,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"18","issue":"6","first_page":"1493","last_page":"1533"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994999766349792,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/curl","display_name":"Curl (programming language)","score":0.8826918601989746},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7875299453735352},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6578905582427979},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.6540838479995728},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6530603766441345},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.49563825130462646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49455925822257996},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.48222076892852783},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4805234372615814},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.47492489218711853},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.46705687046051025},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.4306967854499817},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4242323935031891},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20337218046188354},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11384055018424988},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08729860186576843}],"concepts":[{"id":"https://openalex.org/C147663694","wikidata":"https://www.wikidata.org/wiki/Q1144631","display_name":"Curl (programming language)","level":2,"score":0.8826918601989746},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7875299453735352},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6578905582427979},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.6540838479995728},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6530603766441345},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.49563825130462646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49455925822257996},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.48222076892852783},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4805234372615814},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.47492489218711853},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.46705687046051025},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.4306967854499817},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4242323935031891},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20337218046188354},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11384055018424988},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08729860186576843},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10208-018-9373-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-018-9373-4","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:iris.unitn.it:11572/196903","is_oa":true,"landing_page_url":"http://hdl.handle.net/11572/196903","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.unitn.it:11572/196903","is_oa":true,"landing_page_url":"http://hdl.handle.net/11572/196903","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"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":null,"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":35,"referenced_works":["https://openalex.org/W1592958377","https://openalex.org/W1674659126","https://openalex.org/W1966024196","https://openalex.org/W1978521024","https://openalex.org/W1978975195","https://openalex.org/W1979123271","https://openalex.org/W1990174235","https://openalex.org/W1993764364","https://openalex.org/W1995401267","https://openalex.org/W1999064550","https://openalex.org/W2018253749","https://openalex.org/W2023054953","https://openalex.org/W2034039186","https://openalex.org/W2036663670","https://openalex.org/W2042556392","https://openalex.org/W2050453119","https://openalex.org/W2052839318","https://openalex.org/W2060181732","https://openalex.org/W2067259546","https://openalex.org/W2071704402","https://openalex.org/W2087849682","https://openalex.org/W2093002367","https://openalex.org/W2101982746","https://openalex.org/W2112311198","https://openalex.org/W2123212352","https://openalex.org/W2140888248","https://openalex.org/W2157129549","https://openalex.org/W2295885183","https://openalex.org/W2524337039","https://openalex.org/W2963784701","https://openalex.org/W3046457476","https://openalex.org/W4205191703","https://openalex.org/W4211134967","https://openalex.org/W4252104256","https://openalex.org/W6601661251"],"related_works":["https://openalex.org/W4236459141","https://openalex.org/W4205304778","https://openalex.org/W2020252434","https://openalex.org/W73248859","https://openalex.org/W2584253892","https://openalex.org/W2350324449","https://openalex.org/W119381072","https://openalex.org/W2034033896","https://openalex.org/W2094891943","https://openalex.org/W4240399920"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
