{"id":"https://openalex.org/W318473863","doi":"https://doi.org/10.1023/a:1014243118190","title":"A Posteriori Error Estimates and a Local Refinement Strategy for a Finite Element Method to Solve Structural-Acoustic Vibration Problems","display_name":"A Posteriori Error Estimates and a Local Refinement Strategy for a Finite Element Method to Solve Structural-Acoustic Vibration Problems","publication_year":2001,"publication_date":"2001-11-01","ids":{"openalex":"https://openalex.org/W318473863","doi":"https://doi.org/10.1023/a:1014243118190","mag":"318473863"},"language":"en","primary_location":{"id":"doi:10.1023/a:1014243118190","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1014243118190","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational 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/A5036005223","display_name":"Ana Alonso","orcid":null},"institutions":[{"id":"https://openalex.org/I874386039","display_name":"Universidad Nacional de La Plata","ror":"https://ror.org/01tjs6929","country_code":"AR","type":"education","lineage":["https://openalex.org/I874386039"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Ana Alonso","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 172, 1900 La Plata, Argentina","Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas Universidad Nacional de La Plata, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 172, 1900 La Plata, Argentina","institution_ids":["https://openalex.org/I874386039"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas Universidad Nacional de La Plata, Argentina","institution_ids":["https://openalex.org/I874386039"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103544138","display_name":"Anah\u00ed Dello Russo","orcid":null},"institutions":[{"id":"https://openalex.org/I874386039","display_name":"Universidad Nacional de La Plata","ror":"https://ror.org/01tjs6929","country_code":"AR","type":"education","lineage":["https://openalex.org/I874386039"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Anah\u00ed Dello Russo","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 172, 1900 La Plata, Argentina","Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas Universidad Nacional de La Plata, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 172, 1900 La Plata, Argentina","institution_ids":["https://openalex.org/I874386039"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas Universidad Nacional de La Plata, Argentina","institution_ids":["https://openalex.org/I874386039"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068264335","display_name":"Claudio Padra","orcid":null},"institutions":[{"id":"https://openalex.org/I2883434090","display_name":"Bariloche Atomic Centre","ror":"https://ror.org/05m802881","country_code":"AR","type":"facility","lineage":["https://openalex.org/I2883434090","https://openalex.org/I9340077"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Claudio Padra","raw_affiliation_strings":["Centro At\u00f3mico Bariloche, 8400 Bariloche, R\u00edo Negro, Argentina","Centro At\u00f3mico Bariloche, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro At\u00f3mico Bariloche, 8400 Bariloche, R\u00edo Negro, Argentina","institution_ids":["https://openalex.org/I2883434090"]},{"raw_affiliation_string":"Centro At\u00f3mico Bariloche, Argentina","institution_ids":["https://openalex.org/I2883434090"]}]},{"author_position":"last","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 160-C, Concepci\u00f3n, Chile","Departamento de Ingenier\u00eda Matem\u00e1tica , Universidad de Concepci\u00f3n , Concepci\u00f3n, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Casilla 160-C, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]},{"raw_affiliation_string":"Departamento de Ingenier\u00eda Matem\u00e1tica , Universidad de Concepci\u00f3n , Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054855773"],"corresponding_institution_ids":["https://openalex.org/I172787465"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.4685,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.62121041,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"15","issue":"1-4","first_page":"25","last_page":"59"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9983000159263611,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/estimator","display_name":"Estimator","score":0.844710111618042},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7470222115516663},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6658825874328613},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5905885100364685},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.5704755187034607},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5236037373542786},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5200697779655457},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5093518495559692},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.44039615988731384},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4200117290019989},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34085193276405334},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3388437330722809},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.10310098528862},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10000607371330261}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.844710111618042},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7470222115516663},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6658825874328613},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5905885100364685},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.5704755187034607},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5236037373542786},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5200697779655457},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5093518495559692},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.44039615988731384},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4200117290019989},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34085193276405334},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3388437330722809},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.10310098528862},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10000607371330261},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1014243118190","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1014243118190","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1674659126","https://openalex.org/W1966594134","https://openalex.org/W1969019192","https://openalex.org/W1971248969","https://openalex.org/W1979505556","https://openalex.org/W1980481271","https://openalex.org/W1983554453","https://openalex.org/W1989594010","https://openalex.org/W2018098344","https://openalex.org/W2035983406","https://openalex.org/W2045258465","https://openalex.org/W2064990594","https://openalex.org/W2069961480","https://openalex.org/W2070892192","https://openalex.org/W2071036364","https://openalex.org/W2071182807","https://openalex.org/W2091529732","https://openalex.org/W2104028310","https://openalex.org/W2109911863","https://openalex.org/W2150492583","https://openalex.org/W2199169705","https://openalex.org/W2282744549","https://openalex.org/W2491027544","https://openalex.org/W2592623476","https://openalex.org/W2799727180","https://openalex.org/W4252104256"],"related_works":["https://openalex.org/W2245403906","https://openalex.org/W4286382504","https://openalex.org/W2393344178","https://openalex.org/W2495930062","https://openalex.org/W2057370678","https://openalex.org/W4206553170","https://openalex.org/W3120985700","https://openalex.org/W2051796801","https://openalex.org/W2169681623","https://openalex.org/W2362625355"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2016-06-24T00:00:00"}
