{"id":"https://openalex.org/W2038048866","doi":"https://doi.org/10.1137/060669681","title":"Lower Order Rectangular Nonconforming Mixed Finite Elements for Plane Elasticity","display_name":"Lower Order Rectangular Nonconforming Mixed Finite Elements for Plane Elasticity","publication_year":2007,"publication_date":"2007-12-19","ids":{"openalex":"https://openalex.org/W2038048866","doi":"https://doi.org/10.1137/060669681","mag":"2038048866"},"language":"en","primary_location":{"id":"doi:10.1137/060669681","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060669681","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/A5028500115","display_name":"Jun Hu","orcid":"https://orcid.org/0000-0002-4565-3000"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Hu","raw_affiliation_strings":["Peking University"],"affiliations":[{"raw_affiliation_string":"Peking University","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102146720","display_name":"Zhong\u2010Ci Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210090176","display_name":"Institute of Computing Technology","ror":"https://ror.org/0090r4d87","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210090176"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhong-Ci Shi","raw_affiliation_strings":["Institute of Computational Mathematics and Scientific/Engineering Computing of Chinese Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Mathematics and Scientific/Engineering Computing of Chinese Academy of Sciences","institution_ids":["https://openalex.org/I4210090176","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5028500115"],"corresponding_institution_ids":["https://openalex.org/I20231570"],"apc_list":null,"apc_paid":null,"fwci":1.7139,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.83372468,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"46","issue":"1","first_page":"88","last_page":"102"},"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":0.9991999864578247,"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":0.9977999925613403,"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/superconvergence","display_name":"Superconvergence","score":0.8512675762176514},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8280352354049683},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7573995590209961},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6225124001502991},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.5326810479164124},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.4934612810611725},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4562152922153473},{"id":"https://openalex.org/keywords/plane-stress","display_name":"Plane stress","score":0.41428086161613464},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4129011631011963},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09495249390602112}],"concepts":[{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.8512675762176514},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8280352354049683},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7573995590209961},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6225124001502991},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.5326810479164124},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.4934612810611725},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4562152922153473},{"id":"https://openalex.org/C29320194","wikidata":"https://www.wikidata.org/wiki/Q7201019","display_name":"Plane stress","level":3,"score":0.41428086161613464},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4129011631011963},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09495249390602112},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/060669681","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060669681","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:T070300015738/4","is_oa":false,"landing_page_url":"http://bibcyt.ucla.edu.ve/cgi-win/be_alex.exe?Acceso=T070300015738/4&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":10,"referenced_works":["https://openalex.org/W582923904","https://openalex.org/W1852082788","https://openalex.org/W1966113821","https://openalex.org/W1967916484","https://openalex.org/W2014744421","https://openalex.org/W2041523977","https://openalex.org/W2093969996","https://openalex.org/W2102900967","https://openalex.org/W2129161483","https://openalex.org/W3149667697"],"related_works":["https://openalex.org/W2094577950","https://openalex.org/W2031157121","https://openalex.org/W2891538916","https://openalex.org/W2011851063","https://openalex.org/W111458089","https://openalex.org/W2005628797","https://openalex.org/W2074783170","https://openalex.org/W2003782679","https://openalex.org/W1985974846","https://openalex.org/W1986273871"],"abstract_inverted_index":{"In":[0,32],"this":[1],"paper,":[2],"we":[3],"present":[4],"two":[5,20],"stable":[6],"rectangular":[7],"nonconforming":[8,72,184],"mixed":[9],"finite":[10],"element":[11,53,75,103],"methods":[12,176],"for":[13,27,94,167,174],"the":[14,28,33,36,41,48,70,95,99,116,135,145,150,154,169,172,179,182],"equations":[15],"of":[16,40,115,153,181],"linear":[17],"elasticity":[18],"in":[19,112,122],"space":[21,39,44,54,104],"dimensions":[22],"which":[23],"produce":[24],"direct":[25],"approximations":[26],"stress":[29,38,43,156,170],"and":[30,57,61,80,98,108,171],"displacement.":[31],"first":[34,146,161],"method,":[35],"normal":[37,155],"matrix-valued":[42],"is":[45,92,131,142,165],"taken":[46,93],"as":[47],"second":[49,140],"order":[50,101,162],"rotated":[51,73,185],"Brezzi\u2013Douglas\u2013Fortin\u2013Marini":[52],"[F.":[55],"Brezzi":[56],"M.":[58,110],"Fortin,":[59],"Mixed":[60],"Hybrid":[62],"Finite":[63,117],"Element":[64,118],"Methods,":[65],"Springer-Verlag,":[66,125],"New":[67,126],"York,":[68,127],"1991],":[69],"enriched":[71,183],"$Q_1$":[74,186],"[Q.":[76],"Lin,":[77],"L.":[78],"Tobiska,":[79],"A.":[81,106],"H.":[82],"Zhou,":[83],"IMA":[84],"J.":[85,109],"Numer.":[86],"Anal.,":[87],"25":[88],"(2005),":[89],"pp.":[90,129],"160\u2013181]":[91],"shear":[96],"stress,":[97],"lowest":[100],"Raviart\u2013Thomas":[102],"[P.":[105],"Raviart":[107],"Thomas,":[111],"Mathematical":[113],"Aspects":[114],"Method,":[119],"Lecture":[120],"Notes":[121],"Math.":[123],"606,":[124],"1977,":[128],"292\u2013315]":[130],"employed":[132],"to":[133],"approximate":[134],"vector":[136],"displacement":[137,173],"field.":[138],"The":[139],"method":[141],"obtained":[143,166],"from":[144],"one":[147],"through":[148],"dropping":[149],"interior":[151],"degrees":[152],"on":[157,178],"each":[158],"element.":[159,187],"A":[160],"convergence":[163],"rate":[164],"both":[168],"these":[175],"based":[177],"superconvergence":[180]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":6}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
