{"id":"https://openalex.org/W3200595085","doi":"https://doi.org/10.4208/jcm.v23.n6.p561","title":"Constrained Quadrilateral Nonconforming Rotated $Q_1$ Element","display_name":"Constrained Quadrilateral Nonconforming Rotated $Q_1$ Element","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W3200595085","doi":"https://doi.org/10.4208/jcm.v23.n6.p561","mag":"3200595085"},"language":"en","primary_location":{"id":"doi:10.4208/jcm.v23.n6.p561","doi":"https://doi.org/10.4208/jcm.v23.n6.p561","is_oa":false,"landing_page_url":"https://doi.org/10.4208/jcm.v23.n6.p561","pdf_url":null,"source":{"id":"https://openalex.org/S109208094","display_name":"Journal of Computational Mathematics","issn_l":"0254-9409","issn":["0254-9409","1991-7139"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Mathematics","raw_type":"journal-article"},"volume":null,"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 Xi Hu","orcid":"https://orcid.org/0000-0002-4565-3000","observed_orcids":["https://orcid.org/0000-0002-4565-3000"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Hu","raw_affiliation_strings":["Academy of Mathematics and System Sciences, LSEC, ICMSEC, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academy of Mathematics and System Sciences, LSEC, ICMSEC, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102146720","display_name":"Zhong\u2010Ci Shi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhong-Ci Shi","raw_affiliation_strings":["Academy of Mathematics and System Sciences, LSEC, ICMSEC, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academy of Mathematics and System Sciences, LSEC, ICMSEC, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1303,"has_fulltext":false,"cited_by_count":81,"citation_normalized_percentile":{"value":0.86482493,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"23","issue":"6","first_page":"561","last_page":"586"},"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":0.9994999766349792,"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":0.9994999766349792,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":9.999999747378752e-05,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonconforming-finite-elements","display_name":"nonconforming finite elements","score":0.8740000128746033},{"id":"https://openalex.org/keywords/quadrilateral-elements","display_name":"quadrilateral elements","score":0.921999990940094},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"mixed finite element method","score":0.4830000102519989}],"concepts":[{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.9427002668380737},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.6636434197425842},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4348810315132141},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4235239326953888},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.31030482053756714},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3014911711215973},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16800740361213684},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.1431480348110199},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.12382632493972778}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.4208/jcm.v23.n6.p561","doi":"https://doi.org/10.4208/jcm.v23.n6.p561","is_oa":false,"landing_page_url":"https://doi.org/10.4208/jcm.v23.n6.p561","pdf_url":null,"source":{"id":"https://openalex.org/S109208094","display_name":"Journal of Computational Mathematics","issn_l":"0254-9409","issn":["0254-9409","1991-7139"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Mathematics","raw_type":"journal-article"},{"id":"mag:3200595085","doi":null,"is_oa":false,"landing_page_url":"http://www.computmath.com/jcm/CN/","pdf_url":null,"source":{"id":"https://openalex.org/S109208094","display_name":"Journal of Computational Mathematics","issn_l":"0254-9409","issn":["0254-9409","1991-7139"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Computational Mathematics","raw_type":null},{"id":"mag:582923904","doi":null,"is_oa":false,"landing_page_url":"http://www.cqvip.com/qk/85761X/200506/20652607.html","pdf_url":null,"source":{"id":"https://openalex.org/S109208094","display_name":"Journal of Computational Mathematics","issn_l":"0254-9409","issn":["0254-9409","1991-7139"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"\u8ba1\u7b97\u6570\u5b66\uff1a\u82f1\u6587\u7248","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2000006443","https://openalex.org/W2000695452","https://openalex.org/W2007187208","https://openalex.org/W2074678514","https://openalex.org/W2092891737","https://openalex.org/W2147446841","https://openalex.org/W4241852317","https://openalex.org/W7214641890"],"related_works":["https://openalex.org/W7214664498","https://openalex.org/W1971493815","https://openalex.org/W2379515991","https://openalex.org/W4394959617","https://openalex.org/W2077319298","https://openalex.org/W2364353595","https://openalex.org/W2014539800","https://openalex.org/W4396690806","https://openalex.org/W2350553871","https://openalex.org/W4417302557"],"abstract_inverted_index":{"In":[0],"this":[1,45,58],"paper,":[2],"we":[3,48],"define":[4],"a":[5,20,50,71],"new":[6,51],"nonconforming":[7,14],"quadrilateral":[8],"finite":[9],"element":[10,17],"based":[11],"on":[12,22,74],"the":[13,34,64,75],"rotated":[15],"$Q$1":[16],"by":[18],"enforcing":[19],"constraint":[21],"each":[23],"element,":[24],"which":[25],"has":[26],"only":[27],"three":[28],"degrees":[29],"of":[30,44],"freedom.":[31],"We":[32],"investigate":[33],"consistency,":[35],"approximation,":[36],"superclose":[37],"property,":[38],"discrete":[39,66],"Green's":[40],"function":[41],"and":[42,54],"superconvergence":[43],"element.":[46,59],"Moreover,":[47],"propose":[49],"postprocessing":[52],"technique":[53],"apply":[55],"it":[56],"to":[57],"It":[60],"is":[61,68],"proved":[62],"that":[63],"postprocessed":[65],"solution":[67],"superconvergent":[69],"under":[70],"mild":[72],"assumption":[73],"mesh.":[76]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2021-09-27T00:00:00"}
