{"id":"https://openalex.org/W2043050905","doi":"https://doi.org/10.1007/s10444-007-9054-3","title":"Superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes equations","display_name":"Superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes equations","publication_year":2007,"publication_date":"2007-11-21","ids":{"openalex":"https://openalex.org/W2043050905","doi":"https://doi.org/10.1007/s10444-007-9054-3","mag":"2043050905"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-007-9054-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-007-9054-3","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/A5038663336","display_name":"Huipo Liu","orcid":"https://orcid.org/0000-0003-3591-4526"},"institutions":[{"id":"https://openalex.org/I4210145278","display_name":"Institute of Applied Physics and Computational Mathematics","ror":"https://ror.org/03sxpbt26","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210145278"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huipo Liu","raw_affiliation_strings":["Laboratory of Computational Physics, Institute of Applied Physics, and Computational Mathematics, Beijing, 100088, China","Institute of Applied Physics, and Computational Mathematics"],"affiliations":[{"raw_affiliation_string":"Laboratory of Computational Physics, Institute of Applied Physics, and Computational Mathematics, Beijing, 100088, China","institution_ids":["https://openalex.org/I4210145278"]},{"raw_affiliation_string":"Institute of Applied Physics, and Computational Mathematics","institution_ids":["https://openalex.org/I4210145278"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053053206","display_name":"Ningning Yan","orcid":"https://orcid.org/0000-0003-3072-7262"},"institutions":[{"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"]},{"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":"Ningning Yan","raw_affiliation_strings":["Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China","Academy of Mathematics and Systems Science, Chinese Academy of Sciences,#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences,#TAB#","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038663336"],"corresponding_institution_ids":["https://openalex.org/I4210145278"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.8589,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.74902035,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"29","issue":"4","first_page":"375","last_page":"392"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9984999895095825,"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":0.9973999857902527,"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":0.9896213412284851},{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.9066545963287354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.777350664138794},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.7706748843193054},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6333701610565186},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.5726903080940247},{"id":"https://openalex.org/keywords/stokes-problem","display_name":"Stokes problem","score":0.5212441086769104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5078456997871399},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.4797416925430298},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41572999954223633},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3604092597961426},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.35759514570236206},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10902395844459534},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0671812891960144}],"concepts":[{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.9896213412284851},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.9066545963287354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.777350664138794},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.7706748843193054},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6333701610565186},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.5726903080940247},{"id":"https://openalex.org/C2780355006","wikidata":"https://www.wikidata.org/wiki/Q30715867","display_name":"Stokes problem","level":3,"score":0.5212441086769104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5078456997871399},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.4797416925430298},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41572999954223633},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3604092597961426},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35759514570236206},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10902395844459534},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0671812891960144},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-007-9054-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-007-9054-3","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W125509687","https://openalex.org/W582923904","https://openalex.org/W1674659126","https://openalex.org/W1852082788","https://openalex.org/W1972683041","https://openalex.org/W1980781543","https://openalex.org/W1989388081","https://openalex.org/W2000695452","https://openalex.org/W2016966935","https://openalex.org/W2034891354","https://openalex.org/W2049914863","https://openalex.org/W2062002217","https://openalex.org/W2064932267","https://openalex.org/W2066748245","https://openalex.org/W2077186677","https://openalex.org/W2129161483","https://openalex.org/W2147446841","https://openalex.org/W2592623476","https://openalex.org/W3149667697","https://openalex.org/W3200595085","https://openalex.org/W4252104256"],"related_works":["https://openalex.org/W1992075486","https://openalex.org/W2139074423","https://openalex.org/W2674698491","https://openalex.org/W2052590023","https://openalex.org/W4200076604","https://openalex.org/W1972566664","https://openalex.org/W2351869071","https://openalex.org/W4285036931","https://openalex.org/W2045022900","https://openalex.org/W2043050905"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}