{"id":"https://openalex.org/W2020294233","doi":"https://doi.org/10.1007/s10915-012-9625-4","title":"Convergence and Optimality of the Adaptive Nonconforming Linear Element Method for the Stokes Problem","display_name":"Convergence and Optimality of the Adaptive Nonconforming Linear Element Method for the Stokes Problem","publication_year":2012,"publication_date":"2012-07-17","ids":{"openalex":"https://openalex.org/W2020294233","doi":"https://doi.org/10.1007/s10915-012-9625-4","mag":"2020294233"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-012-9625-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-012-9625-4","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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 Scientific 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/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":["LMAM, Peking University, Beijing, 100871, P.R. China","School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China"],"affiliations":[{"raw_affiliation_string":"LMAM, Peking University, Beijing, 100871, P.R. China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101494424","display_name":"Jinchao Xu","orcid":"https://orcid.org/0009-0004-4132-0227"},"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"]},{"id":"https://openalex.org/I4210133846","display_name":"Peking University International Hospital","ror":"https://ror.org/03jxhcr96","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210133846"]},{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Jinchao Xu","raw_affiliation_strings":["Beijing International Center for Mathematical Research, Peking University, Beijing, P.R. China","Department of Mathematics, Pennsylvania State University, University Park, PA, 16801, USA","School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China"],"affiliations":[{"raw_affiliation_string":"Beijing International Center for Mathematical Research, Peking University, Beijing, P.R. China","institution_ids":["https://openalex.org/I20231570","https://openalex.org/I4210133846"]},{"raw_affiliation_string":"Department of Mathematics, Pennsylvania State University, University Park, PA, 16801, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5028500115"],"corresponding_institution_ids":["https://openalex.org/I20231570"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.5961,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.96101775,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"55","issue":"1","first_page":"125","last_page":"148"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9984999895095825,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/mathematics","display_name":"Mathematics","score":0.871638298034668},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6703200340270996},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5567516684532166},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.552661120891571},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.47098657488822937},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.4672513008117676},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4635471701622009},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.44867798686027527},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.4125119149684906},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.41125333309173584},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41006791591644287},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.346558153629303},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08035856485366821},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07553189992904663}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.871638298034668},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6703200340270996},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5567516684532166},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.552661120891571},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.47098657488822937},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.4672513008117676},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4635471701622009},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.44867798686027527},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.4125119149684906},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.41125333309173584},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41006791591644287},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.346558153629303},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08035856485366821},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07553189992904663},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-012-9625-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-012-9625-4","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.754.2821","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.754.2821","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1309.3608.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W30647803","https://openalex.org/W1492326914","https://openalex.org/W1674659126","https://openalex.org/W1963959271","https://openalex.org/W1979771104","https://openalex.org/W1983072269","https://openalex.org/W1995404822","https://openalex.org/W1995479616","https://openalex.org/W2008457246","https://openalex.org/W2011916591","https://openalex.org/W2017366188","https://openalex.org/W2018702209","https://openalex.org/W2023070026","https://openalex.org/W2023659367","https://openalex.org/W2026655730","https://openalex.org/W2029129352","https://openalex.org/W2033698269","https://openalex.org/W2036607335","https://openalex.org/W2036927094","https://openalex.org/W2039924562","https://openalex.org/W2041523977","https://openalex.org/W2041917536","https://openalex.org/W2043379273","https://openalex.org/W2043594669","https://openalex.org/W2044959876","https://openalex.org/W2049646932","https://openalex.org/W2056470693","https://openalex.org/W2058824833","https://openalex.org/W2067802257","https://openalex.org/W2071036364","https://openalex.org/W2071902409","https://openalex.org/W2072811159","https://openalex.org/W2074099018","https://openalex.org/W2084743165","https://openalex.org/W2086890357","https://openalex.org/W2107813568","https://openalex.org/W2130724727","https://openalex.org/W2147649367","https://openalex.org/W2151369319","https://openalex.org/W2505585705","https://openalex.org/W2592623476","https://openalex.org/W2594541596","https://openalex.org/W4210300254","https://openalex.org/W4231397690","https://openalex.org/W4252104256","https://openalex.org/W4292166829"],"related_works":["https://openalex.org/W2059318893","https://openalex.org/W2095582735","https://openalex.org/W1965698851","https://openalex.org/W834942123","https://openalex.org/W4232542516","https://openalex.org/W3176637561","https://openalex.org/W1587967017","https://openalex.org/W1967331680","https://openalex.org/W130629949","https://openalex.org/W2993249520"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"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":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}