{"id":"https://openalex.org/W1977313776","doi":"https://doi.org/10.1007/s10444-006-9017-0","title":"A quadrilateral nonconforming finite element for linear elasticity problem","display_name":"A quadrilateral nonconforming finite element for linear elasticity problem","publication_year":2006,"publication_date":"2006-11-25","ids":{"openalex":"https://openalex.org/W1977313776","doi":"https://doi.org/10.1007/s10444-006-9017-0","mag":"1977313776"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-006-9017-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-006-9017-0","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/A5042341009","display_name":"Shipeng Mao","orcid":"https://orcid.org/0000-0003-4115-6039"},"institutions":[{"id":"https://openalex.org/I84653119","display_name":"Academia Sinica","ror":"https://ror.org/05bxb3784","country_code":"TW","type":"facility","lineage":["https://openalex.org/I84653119"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Shipeng Mao","raw_affiliation_strings":["Institute of Computational Mathematics, Chinese Academy of Science, P.O. Box 2719, Beijing, 100080, People\u2019s Republic of China","Chinese Academy of Science"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Mathematics, Chinese Academy of Science, P.O. Box 2719, Beijing, 100080, People\u2019s Republic of China","institution_ids":[]},{"raw_affiliation_string":"Chinese Academy of Science","institution_ids":["https://openalex.org/I84653119"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102881976","display_name":"Shaochun Chen","orcid":"https://orcid.org/0000-0003-4915-5962"},"institutions":[{"id":"https://openalex.org/I38877650","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21","country_code":"CN","type":"education","lineage":["https://openalex.org/I38877650"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaochun Chen","raw_affiliation_strings":["Department of Mathematics, Zhengzhou University, 450052, Zhengzhou, People\u2019s Republic of China","[Zhengzhou University.]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhengzhou University, 450052, Zhengzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I38877650"]},{"raw_affiliation_string":"[Zhengzhou University.]","institution_ids":["https://openalex.org/I38877650"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042341009"],"corresponding_institution_ids":["https://openalex.org/I84653119"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4219,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.63402012,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"28","issue":"1","first_page":"81","last_page":"100"},"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":0.9997000098228455,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994000196456909,"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/quadrilateral","display_name":"Quadrilateral","score":0.9229018688201904},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.805144190788269},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.743279218673706},{"id":"https://openalex.org/keywords/linear-elasticity","display_name":"Linear elasticity","score":0.5695538520812988},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5664588809013367},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5567554235458374},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.47973766922950745},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45469963550567627},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4250236451625824},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39144185185432434},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3395352363586426},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.09233999252319336},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08625835180282593}],"concepts":[{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.9229018688201904},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.805144190788269},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.743279218673706},{"id":"https://openalex.org/C3161131","wikidata":"https://www.wikidata.org/wiki/Q14097093","display_name":"Linear elasticity","level":3,"score":0.5695538520812988},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5664588809013367},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5567554235458374},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.47973766922950745},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45469963550567627},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4250236451625824},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39144185185432434},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3395352363586426},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.09233999252319336},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08625835180282593},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-006-9017-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-006-9017-0","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":[{"score":0.4300000071525574,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W95684949","https://openalex.org/W582923904","https://openalex.org/W1492326914","https://openalex.org/W1524015806","https://openalex.org/W1674659126","https://openalex.org/W1708679080","https://openalex.org/W1973672355","https://openalex.org/W1982804896","https://openalex.org/W1992358193","https://openalex.org/W1998068280","https://openalex.org/W1998208184","https://openalex.org/W2000695452","https://openalex.org/W2007187208","https://openalex.org/W2026711180","https://openalex.org/W2029111242","https://openalex.org/W2037818443","https://openalex.org/W2038732088","https://openalex.org/W2041523977","https://openalex.org/W2046000001","https://openalex.org/W2049332222","https://openalex.org/W2051570063","https://openalex.org/W2052894907","https://openalex.org/W2062002217","https://openalex.org/W2072236487","https://openalex.org/W2073774784","https://openalex.org/W2074678514","https://openalex.org/W2079318234","https://openalex.org/W2083040919","https://openalex.org/W2083434422","https://openalex.org/W2088046906","https://openalex.org/W2091005773","https://openalex.org/W2094939306","https://openalex.org/W2144669917","https://openalex.org/W2147446841","https://openalex.org/W2499245741","https://openalex.org/W2592623476","https://openalex.org/W3101224779","https://openalex.org/W3149667697","https://openalex.org/W3200595085","https://openalex.org/W4210300254","https://openalex.org/W4241914827","https://openalex.org/W4251628929","https://openalex.org/W4252104256","https://openalex.org/W4256651668","https://openalex.org/W4292166829"],"related_works":["https://openalex.org/W4225381306","https://openalex.org/W1968844089","https://openalex.org/W2953041517","https://openalex.org/W2077820952","https://openalex.org/W2164512662","https://openalex.org/W2352017532","https://openalex.org/W2898882437","https://openalex.org/W2027181523","https://openalex.org/W4231998818","https://openalex.org/W4306155867"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}