{"id":"https://openalex.org/W1998702944","doi":"https://doi.org/10.1515/jnum-2013-0004","title":"Robust residual a posteriori error estimators for the Reissner\u2013Mindlin eigenvalues system","display_name":"Robust residual a posteriori error estimators for the Reissner\u2013Mindlin eigenvalues system","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1998702944","doi":"https://doi.org/10.1515/jnum-2013-0004","mag":"1998702944"},"language":"en","primary_location":{"id":"doi:10.1515/jnum-2013-0004","is_oa":false,"landing_page_url":"https://doi.org/10.1515/jnum-2013-0004","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-00777682","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058247330","display_name":"Emmanuel Creus\u00e9","orcid":"https://orcid.org/0000-0001-8032-3886"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I4210145948","display_name":"Laboratoire Paul Painlev\u00e9","ror":"https://ror.org/043n4fm24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4210141950","https://openalex.org/I4210145948"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"E. Creus\u00e9","raw_affiliation_strings":["Laboratoire Paul Painlev\u00e9 UMR 8524 and INRIA Lille Nord Europe, Universit\u00e9 de Lille 1, Cit\u00e9 Scientifique, 59655 Villeneuve d\u2019Ascq Cedex","Lille University of Science and Technology#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire Paul Painlev\u00e9 UMR 8524 and INRIA Lille Nord Europe, Universit\u00e9 de Lille 1, Cit\u00e9 Scientifique, 59655 Villeneuve d\u2019Ascq Cedex","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4210145948"]},{"raw_affiliation_string":"Lille University of Science and Technology#TAB#","institution_ids":["https://openalex.org/I2279609970"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113478442","display_name":"Serge Nicaise","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I70348806","display_name":"Universit\u00e9 Polytechnique Hauts-de-France","ror":"https://ror.org/02ezch769","country_code":"FR","type":"education","lineage":["https://openalex.org/I70348806"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"S. Nicaise","raw_affiliation_strings":["LAMAV, FR CNRS 2956, Universit\u00e9 de Valenciennes et du Hainaut Cambr\u00e9sis, Institut des Sciences et Techniques de Valenciennes, F-59313 - Valenciennes Cedex 9 France","University of Valenciennes and Hainaut-Cambr\u00e9sis"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAMAV, FR CNRS 2956, Universit\u00e9 de Valenciennes et du Hainaut Cambr\u00e9sis, Institut des Sciences et Techniques de Valenciennes, F-59313 - Valenciennes Cedex 9 France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I70348806"]},{"raw_affiliation_string":"University of Valenciennes and Hainaut-Cambr\u00e9sis","institution_ids":["https://openalex.org/I70348806"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046946981","display_name":"Emmanuel Verhille","orcid":null},"institutions":[{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I4210145948","display_name":"Laboratoire Paul Painlev\u00e9","ror":"https://ror.org/043n4fm24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4210141950","https://openalex.org/I4210145948"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Emmanuel Verhille","raw_affiliation_strings":["Laboratoire Paul Painlev\u00e9 UMR 8524, Universit\u00e9 de Lille 1, Cit\u00b4e Scientifique, 59655 Villeneuve d\u2019Ascq Cedex","Lille University of Science and Technology#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire Paul Painlev\u00e9 UMR 8524, Universit\u00e9 de Lille 1, Cit\u00b4e Scientifique, 59655 Villeneuve d\u2019Ascq Cedex","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4210145948"]},{"raw_affiliation_string":"Lille University of Science and Technology#TAB#","institution_ids":["https://openalex.org/I2279609970"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5046946981","https://openalex.org/A5058247330","https://openalex.org/A5113478442"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4210145948","https://openalex.org/I70348806"],"apc_list":{"value":2400,"currency":"EUR","value_usd":2712},"apc_paid":null,"fwci":0.3189,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60868113,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"21","issue":"2","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":0.9998999834060669,"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":0.9994000196456909,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/estimator","display_name":"Estimator","score":0.8500431776046753},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8257189393043518},{"id":"https://openalex.org/keywords/superconvergence","display_name":"Superconvergence","score":0.8150588870048523},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.8045563697814941},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7631931304931641},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.6731457114219666},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6090255975723267},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.599396288394928},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.46582671999931335},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4450902044773102},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17711758613586426},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11933264136314392},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10477668046951294},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.05981871485710144},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.052665263414382935}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.8500431776046753},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8257189393043518},{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.8150588870048523},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.8045563697814941},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7631931304931641},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.6731457114219666},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6090255975723267},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.599396288394928},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.46582671999931335},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4450902044773102},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17711758613586426},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11933264136314392},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10477668046951294},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.05981871485710144},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.052665263414382935},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/jnum-2013-0004","is_oa":false,"landing_page_url":"https://doi.org/10.1515/jnum-2013-0004","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-00777682v2","is_oa":true,"landing_page_url":"https://hal.science/hal-00777682","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Numerical Mathematics, 2013, 21 (2), pp.89-134. ⟨10.1515/jnum-2013-0004⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00777682v2","is_oa":true,"landing_page_url":"https://hal.science/hal-00777682","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Numerical Mathematics, 2013, 21 (2), pp.89-134. ⟨10.1515/jnum-2013-0004⟩","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":39,"referenced_works":["https://openalex.org/W125509687","https://openalex.org/W591292934","https://openalex.org/W592368443","https://openalex.org/W612701912","https://openalex.org/W1502992081","https://openalex.org/W1575147392","https://openalex.org/W1674659126","https://openalex.org/W1969675560","https://openalex.org/W1977745791","https://openalex.org/W1981407372","https://openalex.org/W1986097487","https://openalex.org/W1994666316","https://openalex.org/W1995404822","https://openalex.org/W2005881662","https://openalex.org/W2023189634","https://openalex.org/W2026313996","https://openalex.org/W2032396438","https://openalex.org/W2035654636","https://openalex.org/W2039754750","https://openalex.org/W2043837727","https://openalex.org/W2047852052","https://openalex.org/W2054810687","https://openalex.org/W2066943469","https://openalex.org/W2071036364","https://openalex.org/W2071149261","https://openalex.org/W2077801132","https://openalex.org/W2078327542","https://openalex.org/W2083002294","https://openalex.org/W2107356604","https://openalex.org/W2114173401","https://openalex.org/W2120627663","https://openalex.org/W2125171642","https://openalex.org/W2150319037","https://openalex.org/W2157121531","https://openalex.org/W2164224532","https://openalex.org/W2505585705","https://openalex.org/W3149667697","https://openalex.org/W4246704835","https://openalex.org/W4252104256"],"related_works":["https://openalex.org/W2094577950","https://openalex.org/W2031157121","https://openalex.org/W1565666028","https://openalex.org/W2891538916","https://openalex.org/W2160252404","https://openalex.org/W4230524683","https://openalex.org/W3141012097","https://openalex.org/W185121461","https://openalex.org/W2977168711","https://openalex.org/W2756533014"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,15,17,36,38,77],"conforming":[3],"finite":[4],"element":[5],"approximation":[6],"of":[7,70],"the":[8,22,25,63,71],"Reissner-":[9],"Mindlin":[10],"eigenvalue":[11,26,64],"system,":[12],"for":[13,21],"which":[14],"robust":[16,37],"posteriori":[18],"error":[19,40],"estimator":[20,73],"eigenvector":[23],"and":[24,47],"errors":[27],"is":[28,65,74],"proposed.":[29],"For":[30],"that":[31,58,62],"purpose,":[32],"we":[33],"first":[34],"perform":[35],"priori":[39],"analysis":[41],"without":[42],"strong":[43],"regularity":[44],"assumption.":[45],"Upper":[46],"lower":[48],"bounds":[49],"are":[50,59],"then":[51],"obtained":[52],"up":[53],"to":[54],"higher":[55],"order":[56],"terms":[57],"superconvergent,":[60],"provided":[61],"simple.":[66],"The":[67],"convergence":[68],"rate":[69],"proposed":[72],"confirmed":[75],"by":[76],"numerical":[78],"test.":[79]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}