{"id":"https://openalex.org/W1964168612","doi":"https://doi.org/10.1007/s00211-010-0354-z","title":"Semi-discrete stabilized finite element methods for Navier\u2013Stokes equations with nonlinear slip boundary conditions based on regularization procedure","display_name":"Semi-discrete stabilized finite element methods for Navier\u2013Stokes equations with nonlinear slip boundary conditions based on regularization procedure","publication_year":2010,"publication_date":"2010-12-14","ids":{"openalex":"https://openalex.org/W1964168612","doi":"https://doi.org/10.1007/s00211-010-0354-z","mag":"1964168612"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-010-0354-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-010-0354-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5110177735","display_name":"Li Yuan","orcid":"https://orcid.org/0000-0003-1397-9089"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuan Li","raw_affiliation_strings":["College of Mathematics and Information Science, Wenzhou University, 325035, Wenzhou, China","Wenzhou University, College of Mathematics and Information Science, 325035, Wenzhou, China#TAB#"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Wenzhou University, 325035, Wenzhou, China","institution_ids":["https://openalex.org/I146620803"]},{"raw_affiliation_string":"Wenzhou University, College of Mathematics and Information Science, 325035, Wenzhou, China#TAB#","institution_ids":["https://openalex.org/I146620803"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081056971","display_name":"Rong An","orcid":"https://orcid.org/0000-0002-1337-6299"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rong An","raw_affiliation_strings":["College of Mathematics and Information Science, Wenzhou University, 325035, Wenzhou, China","Wenzhou University, College of Mathematics and Information Science, 325035, Wenzhou, China#TAB#"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Wenzhou University, 325035, Wenzhou, China","institution_ids":["https://openalex.org/I146620803"]},{"raw_affiliation_string":"Wenzhou University, College of Mathematics and Information Science, 325035, Wenzhou, China#TAB#","institution_ids":["https://openalex.org/I146620803"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110177735"],"corresponding_institution_ids":["https://openalex.org/I146620803"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.076,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.8587429,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"117","issue":"1","first_page":"1","last_page":"36"},"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9987000226974487,"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":0.9983999729156494,"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/mathematics","display_name":"Mathematics","score":0.8660942316055298},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.736925482749939},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7039373517036438},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6015380024909973},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5761831402778625},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5700936317443848},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5436813235282898},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.44507160782814026},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4291779696941376},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.42583420872688293},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.06410112977027893}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8660942316055298},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.736925482749939},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7039373517036438},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6015380024909973},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5761831402778625},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5700936317443848},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5436813235282898},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.44507160782814026},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4291779696941376},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.42583420872688293},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.06410112977027893},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-010-0354-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-010-0354-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1488488257","https://openalex.org/W1513782764","https://openalex.org/W1967077838","https://openalex.org/W1970891966","https://openalex.org/W1973425457","https://openalex.org/W1989895848","https://openalex.org/W1997351493","https://openalex.org/W2004326643","https://openalex.org/W2004663077","https://openalex.org/W2021193257","https://openalex.org/W2044053958","https://openalex.org/W2051708601","https://openalex.org/W2052345804","https://openalex.org/W2053242798","https://openalex.org/W2056802891","https://openalex.org/W2063057323","https://openalex.org/W2073242110","https://openalex.org/W2074490296","https://openalex.org/W2074987839","https://openalex.org/W2080603783","https://openalex.org/W2091775502","https://openalex.org/W2093142751","https://openalex.org/W2098968155","https://openalex.org/W2099655567","https://openalex.org/W2119859226","https://openalex.org/W2163119241","https://openalex.org/W2224805395","https://openalex.org/W2264571224","https://openalex.org/W2615320951","https://openalex.org/W2616717838","https://openalex.org/W2985272081","https://openalex.org/W3025655356"],"related_works":["https://openalex.org/W2909053289","https://openalex.org/W829267240","https://openalex.org/W1154119719","https://openalex.org/W3131922696","https://openalex.org/W2104243281","https://openalex.org/W2946037075","https://openalex.org/W2755725405","https://openalex.org/W1967850176","https://openalex.org/W2019487448","https://openalex.org/W2172194087"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
