{"id":"https://openalex.org/W2043837727","doi":"https://doi.org/10.1137/s0036142902409410","title":"Error Estimates for Low-Order Isoparametric Quadrilateral Finite Elements for Plates","display_name":"Error Estimates for Low-Order Isoparametric Quadrilateral Finite Elements for Plates","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2043837727","doi":"https://doi.org/10.1137/s0036142902409410","mag":"2043837727"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142902409410","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142902409410","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5011709693","display_name":"Ricardo G. Dur\u00e1n","orcid":"https://orcid.org/0000-0002-5610-957X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ricardo G. Dur\u00e1n","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047900709","display_name":"Erwin Hern\u00e1ndez","orcid":"https://orcid.org/0000-0002-0821-4658"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Erwin Hern\u00e1ndez","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089780684","display_name":"L. Hervella-Nieto","orcid":"https://orcid.org/0000-0002-9131-1888"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luis Hervella-Nieto","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087090030","display_name":"Elsa Liberman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Elsa Liberman","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5054855773","display_name":"Rodolfo Rodr\u0131\u0301guez","orcid":"https://orcid.org/0000-0003-1286-7472"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rodolfo Rodr\u00edguez","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5011709693"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.1149,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.93398644,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"41","issue":"5","first_page":"1751","last_page":"1772"},"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":1.0,"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":1.0,"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":0.9986000061035156,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9980000257492065,"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/quadrilateral","display_name":"Quadrilateral","score":0.9171736836433411},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8095703125},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7502012252807617},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6779570579528809},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6058304309844971},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4901512563228607},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4661869704723358},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4342862665653229},{"id":"https://openalex.org/keywords/bending","display_name":"Bending","score":0.4217027723789215},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.4128198027610779},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.28963497281074524},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.0926293134689331},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08097371459007263}],"concepts":[{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.9171736836433411},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8095703125},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7502012252807617},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6779570579528809},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6058304309844971},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4901512563228607},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4661869704723358},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4342862665653229},{"id":"https://openalex.org/C87210426","wikidata":"https://www.wikidata.org/wiki/Q1072476","display_name":"Bending","level":2,"score":0.4217027723789215},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.4128198027610779},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28963497281074524},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0926293134689331},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08097371459007263},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"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/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036142902409410","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142902409410","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:bibcyt.ucla.edu.ve:T070300013566/6","is_oa":false,"landing_page_url":"http://bibcyt.ucla.edu.ve/cgi-win/be_alex.exe?Acceso=T070300013566/6&Nombrebd=Bciucla","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1500265572","https://openalex.org/W1575147392","https://openalex.org/W1674659126","https://openalex.org/W1852082788","https://openalex.org/W1969462451","https://openalex.org/W1976773674","https://openalex.org/W2005436751","https://openalex.org/W2005881662","https://openalex.org/W2009107370","https://openalex.org/W2023189634","https://openalex.org/W2035654636","https://openalex.org/W2052894907","https://openalex.org/W2054810687","https://openalex.org/W2069902256","https://openalex.org/W2100833781","https://openalex.org/W2120627663","https://openalex.org/W2153365674","https://openalex.org/W2163384483","https://openalex.org/W2488294643","https://openalex.org/W2503365114","https://openalex.org/W3101224779","https://openalex.org/W3149667697","https://openalex.org/W4246704835","https://openalex.org/W4252104256"],"related_works":["https://openalex.org/W4225381306","https://openalex.org/W2092447180","https://openalex.org/W2953041517","https://openalex.org/W1968844089","https://openalex.org/W2005478455","https://openalex.org/W2368295716","https://openalex.org/W1968086293","https://openalex.org/W2376658924","https://openalex.org/W3201757880","https://openalex.org/W3198180157"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,99],"the":[4,8,51,59,103,112,115,126,131],"numerical":[5,123],"approximation":[6,113],"of":[7,10,29,50,61,67,75,102,114,130],"bending":[9],"a":[11],"plate":[12,104,116],"modeled":[13],"by":[14,43,139],"Reissner-Mindlin":[15],"equations.":[16],"It":[17],"is":[18,56],"well":[19],"known":[20],"that,":[21],"in":[22,134],"order":[23],"to":[24,36],"avoid":[25],"locking,":[26],"some":[27,122,135],"kind":[28],"reduced":[30],"integration":[31],"or":[32],"mixed":[33],"interpolation":[34,66],"has":[35],"be":[37],"used":[38,54],"when":[39],"solving":[40],"these":[41],"equations":[42],"finite":[44],"element":[45],"methods.":[46,94],"In":[47],"particular,":[48],"one":[49],"most":[52],"widely":[53],"procedures":[55],"based":[57],"on":[58,78],"family":[60,77],"elements":[62],"called":[63],"MITC":[64],"(mixed":[65],"tensorial":[68],"components).":[69],"We":[70,106],"consider":[71],"two":[72],"lowest-order":[73],"methods":[74],"this":[76],"quadrilateral":[79],"meshes.":[80],"Under":[81],"mild":[82],"assumptions":[83],"we":[84,120],"obtain":[85,108],"optimal":[86],"H1":[87],"and":[88],"L2":[89],"error":[90,109],"estimates":[91,96,110],"for":[92,111],"both":[93],"These":[95],"are":[97],"valid":[98],"constants":[100],"independent":[101],"thickness.":[105],"also":[107],"vibration":[117],"problem.":[118],"Finally,":[119],"report":[121],"experiments":[124],"showing":[125],"very":[127],"good":[128],"behavior":[129],"methods,":[132],"even":[133],"cases":[136],"not":[137],"covered":[138],"our":[140],"theory.":[141]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}