{"id":"https://openalex.org/W7127308818","doi":"https://doi.org/10.1007/s12190-025-02760-1","title":"Superconvergence analysis of a low-order nonconforming mixed finite element method for unsteady natural convection equations","display_name":"Superconvergence analysis of a low-order nonconforming mixed finite element method for unsteady natural convection equations","publication_year":2026,"publication_date":"2026-02-03","ids":{"openalex":"https://openalex.org/W7127308818","doi":"https://doi.org/10.1007/s12190-025-02760-1"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-025-02760-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02760-1","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and Computing","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/A5054411031","display_name":"Xiaochen Chu","orcid":null},"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":"Xiaochen Chu","raw_affiliation_strings":["School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, P.R. China","institution_ids":["https://openalex.org/I38877650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013037397","display_name":"Xiangyu Shi","orcid":"https://orcid.org/0000-0003-1191-840X"},"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"]},{"id":"https://openalex.org/I4210155994","display_name":"Zhengzhou Business University","ror":"https://ror.org/05azzk208","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210155994"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiangyu Shi","raw_affiliation_strings":["Business School, Zhengzhou University, Zhengzhou, 450001, P.R. China"],"affiliations":[{"raw_affiliation_string":"Business School, Zhengzhou University, Zhengzhou, 450001, P.R. China","institution_ids":["https://openalex.org/I4210155994","https://openalex.org/I38877650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109598623","display_name":"Dongyang Shi Dongyang Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I18452120","display_name":"Yantai University","ror":"https://ror.org/01rp41m56","country_code":"CN","type":"education","lineage":["https://openalex.org/I18452120"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongyang Shi","raw_affiliation_strings":["School of Mathematics and Information Sciences, Yantai University, Yantai, 264005, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Sciences, Yantai University, Yantai, 264005, P.R. China","institution_ids":["https://openalex.org/I18452120"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013037397"],"corresponding_institution_ids":["https://openalex.org/I38877650","https://openalex.org/I4210155994"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.40918763,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"3","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":0.9520000219345093,"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":0.9520000219345093,"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":0.011599999852478504,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.0071000000461936,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/superconvergence","display_name":"Superconvergence","score":0.9567999839782715},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7087000012397766},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6714000105857849},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.5412999987602234},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5041000247001648},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.4641000032424927},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.43309998512268066},{"id":"https://openalex.org/keywords/extended-finite-element-method","display_name":"Extended finite element method","score":0.37880000472068787},{"id":"https://openalex.org/keywords/natural-convection","display_name":"Natural convection","score":0.3702000081539154}],"concepts":[{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.9567999839782715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7089999914169312},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7087000012397766},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6714000105857849},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.5412999987602234},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5041000247001648},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48420000076293945},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.4641000032424927},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.43309998512268066},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39259999990463257},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.37880000472068787},{"id":"https://openalex.org/C54791560","wikidata":"https://www.wikidata.org/wiki/Q3285020","display_name":"Natural convection","level":3,"score":0.3702000081539154},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.3671000003814697},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.35429999232292175},{"id":"https://openalex.org/C177605945","wikidata":"https://www.wikidata.org/wiki/Q11007230","display_name":"Smoothed finite element method","level":5,"score":0.34540000557899475},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.34470000863075256},{"id":"https://openalex.org/C2778648169","wikidata":"https://www.wikidata.org/wiki/Q967768","display_name":"Compatibility (geochemistry)","level":2,"score":0.33719998598098755},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.30550000071525574},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.30140000581741333},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.28119999170303345},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.2768999934196472},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2644999921321869},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2581000030040741},{"id":"https://openalex.org/C3019693144","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Time stepping","level":3,"score":0.2524000108242035}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-025-02760-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02760-1","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W303842945","https://openalex.org/W1246294373","https://openalex.org/W1586538875","https://openalex.org/W1971358585","https://openalex.org/W1988552931","https://openalex.org/W1991798406","https://openalex.org/W2001140395","https://openalex.org/W2005047411","https://openalex.org/W2005544181","https://openalex.org/W2017085690","https://openalex.org/W2025333593","https://openalex.org/W2045253114","https://openalex.org/W2046193954","https://openalex.org/W2066748245","https://openalex.org/W2072424785","https://openalex.org/W2092462126","https://openalex.org/W2131816153","https://openalex.org/W2148947997","https://openalex.org/W2480211845","https://openalex.org/W2593219174","https://openalex.org/W2624315217","https://openalex.org/W2953949482","https://openalex.org/W3016350076","https://openalex.org/W3047339640","https://openalex.org/W3089113373","https://openalex.org/W3134794931","https://openalex.org/W3206494080","https://openalex.org/W4234775851","https://openalex.org/W4311175280","https://openalex.org/W4394760907","https://openalex.org/W4396690806","https://openalex.org/W4407263558"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-02-07T06:11:34.122080","created_date":"2026-02-04T00:00:00"}
