{"id":"https://openalex.org/W2070892192","doi":"https://doi.org/10.1090/s0025-5718-96-00739-9","title":"The order of convergence of eigenfrequencies in finite element approximations of fluid-structure interaction problems","display_name":"The order of convergence of eigenfrequencies in finite element approximations of fluid-structure interaction problems","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2070892192","doi":"https://doi.org/10.1090/s0025-5718-96-00739-9","mag":"2070892192"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-96-00739-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-96-00739-9","pdf_url":"https://www.ams.org/mcom/1996-65-216/S0025-5718-96-00739-9/S0025-5718-96-00739-9.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/1996-65-216/S0025-5718-96-00739-9/S0025-5718-96-00739-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","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":true,"raw_author_name":"Rodolfo Rodr\u00edguez","raw_affiliation_strings":["Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Casilla 4009, Concepci\u00f3n, Chile"],"affiliations":[{"raw_affiliation_string":"Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Casilla 4009, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032574052","display_name":"J. E. Solomin","orcid":null},"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":"Jorge Solomin","raw_affiliation_strings":["Departamento de Ingenier\u00c3\u00ada Matem\u00c3\u00a1tica, Universidad de Concepci\u00c3\u00b3n, Casilla 4009, Concepci\u00c3\u00b3n, Chile","Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Casilla 4009, Concepci\u00f3n, Chile"],"affiliations":[{"raw_affiliation_string":"Departamento de Ingenier\u00c3\u00ada Matem\u00c3\u00a1tica, Universidad de Concepci\u00c3\u00b3n, Casilla 4009, Concepci\u00c3\u00b3n, Chile","institution_ids":[]},{"raw_affiliation_string":"Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Casilla 4009, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054855773"],"corresponding_institution_ids":["https://openalex.org/I172787465"],"apc_list":null,"apc_paid":null,"fwci":2.3268,"has_fulltext":true,"cited_by_count":37,"citation_normalized_percentile":{"value":0.87636202,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"65","issue":"216","first_page":"1463","last_page":"1475"},"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":0.9998999834060669,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8413270711898804},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7813118696212769},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7478963732719421},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.7165549993515015},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5806291103363037},{"id":"https://openalex.org/keywords/fluid\u2013structure-interaction","display_name":"Fluid\u2013structure interaction","score":0.5317028164863586},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5014646053314209},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.4789896011352539},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41948816180229187},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4185091555118561},{"id":"https://openalex.org/keywords/compressible-flow","display_name":"Compressible flow","score":0.41147688031196594},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1025686264038086},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.09323221445083618}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8413270711898804},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7813118696212769},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7478963732719421},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.7165549993515015},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5806291103363037},{"id":"https://openalex.org/C2779126057","wikidata":"https://www.wikidata.org/wiki/Q478010","display_name":"Fluid\u2013structure interaction","level":3,"score":0.5317028164863586},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5014646053314209},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.4789896011352539},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41948816180229187},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4185091555118561},{"id":"https://openalex.org/C5192115","wikidata":"https://www.wikidata.org/wiki/Q2705141","display_name":"Compressible flow","level":3,"score":0.41147688031196594},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1025686264038086},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.09323221445083618},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/s0025-5718-96-00739-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-96-00739-9","pdf_url":"https://www.ams.org/mcom/1996-65-216/S0025-5718-96-00739-9/S0025-5718-96-00739-9.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.106.9708","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.106.9708","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/1996-65-216/S0025-5718-96-00739-9/S0025-5718-96-00739-9.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-96-00739-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-96-00739-9","pdf_url":"https://www.ams.org/mcom/1996-65-216/S0025-5718-96-00739-9/S0025-5718-96-00739-9.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2070892192.pdf","grobid_xml":"https://content.openalex.org/works/W2070892192.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W136185420","https://openalex.org/W568208679","https://openalex.org/W1852082788","https://openalex.org/W1969019192","https://openalex.org/W2013434737","https://openalex.org/W2013737143","https://openalex.org/W2018098344","https://openalex.org/W2045258465","https://openalex.org/W2064990594","https://openalex.org/W2080751459","https://openalex.org/W2118789184","https://openalex.org/W2128987432","https://openalex.org/W2269276541","https://openalex.org/W2518635540","https://openalex.org/W2587559127","https://openalex.org/W3022136271","https://openalex.org/W3149667697","https://openalex.org/W4243893532"],"related_works":["https://openalex.org/W2781920673","https://openalex.org/W1987597427","https://openalex.org/W2746057941","https://openalex.org/W2090970039","https://openalex.org/W2491972852","https://openalex.org/W2549723138","https://openalex.org/W1966002001","https://openalex.org/W2126369841","https://openalex.org/W2026913156","https://openalex.org/W2093763149"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,30],"prove":[4],"a":[5],"double":[6],"order":[7],"for":[8,22,42],"the":[9],"convergence":[10],"of":[11],"eigenfrequencies":[12],"in":[13],"fluid-structure":[14],"vibration":[15],"problems.":[16],"We":[17],"improve":[18],"estimates":[19],"given":[20],"recently":[21],"compressible":[23],"and":[24],"incompressible":[25],"fluids.":[26],"To":[27],"do":[28],"this,":[29],"extend":[31],"classical":[32],"results":[33],"on":[34],"finite":[35],"element":[36],"spectral":[37],"approximation":[38],"to":[39],"nonconforming":[40],"methods":[41],"noncompact":[43],"operators.":[44]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-21T06:05:55.347736","created_date":"2025-10-10T00:00:00"}
