{"id":"https://openalex.org/W2299374223","doi":"https://doi.org/10.1007/s00211-015-0767-9","title":"Unconditional stability and error estimates of modified characteristics FEMs for the Navier\u2013Stokes equations","display_name":"Unconditional stability and error estimates of modified characteristics FEMs for the Navier\u2013Stokes equations","publication_year":2015,"publication_date":"2015-10-26","ids":{"openalex":"https://openalex.org/W2299374223","doi":"https://doi.org/10.1007/s00211-015-0767-9","mag":"2299374223"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-015-0767-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-015-0767-9","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/A5038419356","display_name":"Zhiyong Si","orcid":"https://orcid.org/0000-0001-9280-0491"},"institutions":[{"id":"https://openalex.org/I4210166499","display_name":"Henan Polytechnic University","ror":"https://ror.org/05vr1c885","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210166499"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhiyong Si","raw_affiliation_strings":["School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454003, People\u2019s Republic of China","School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454003, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454003, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210166499"]},{"raw_affiliation_string":"School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454003, People's Republic of China","institution_ids":["https://openalex.org/I4210166499"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024180528","display_name":"Jilu Wang","orcid":"https://orcid.org/0009-0001-9468-249X"},"institutions":[{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jilu Wang","raw_affiliation_strings":["Department of Mathematics, School of Information, Renmin University of China, Beijing, 100872, People\u2019s Republic of China","Department of Mathematics, School of Information, Renmin University of China, Beijing, 100872, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Information, Renmin University of China, Beijing, 100872, People\u2019s Republic of China","institution_ids":["https://openalex.org/I78988378"]},{"raw_affiliation_string":"Department of Mathematics, School of Information, Renmin University of China, Beijing, 100872, People's Republic of China","institution_ids":["https://openalex.org/I78988378"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014226512","display_name":"Weiwei Sun","orcid":"https://orcid.org/0000-0002-2079-4480"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Weiwei Sun","raw_affiliation_strings":["Department of Mathematics, City University of Hong Kong, Kowloon Tong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, Kowloon Tong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038419356"],"corresponding_institution_ids":["https://openalex.org/I4210166499"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.3778,"has_fulltext":false,"cited_by_count":90,"citation_normalized_percentile":{"value":0.94267973,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"134","issue":"1","first_page":"139","last_page":"161"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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":0.8239386081695557},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6873564720153809},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.636124849319458},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6235011219978333},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5991382002830505},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5915483236312866},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5739678144454956},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.5298338532447815},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49782705307006836},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.44132310152053833},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4405061602592468},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.41274142265319824},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3576551675796509},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10224181413650513}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8239386081695557},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6873564720153809},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.636124849319458},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6235011219978333},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5991382002830505},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5915483236312866},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5739678144454956},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.5298338532447815},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49782705307006836},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.44132310152053833},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4405061602592468},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.41274142265319824},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3576551675796509},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10224181413650513},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-015-0767-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-015-0767-9","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W141367041","https://openalex.org/W196022719","https://openalex.org/W617333099","https://openalex.org/W1498345005","https://openalex.org/W1593008802","https://openalex.org/W1674659126","https://openalex.org/W1963834013","https://openalex.org/W1965590271","https://openalex.org/W1967868847","https://openalex.org/W1969580870","https://openalex.org/W1972506492","https://openalex.org/W1980787167","https://openalex.org/W1989867921","https://openalex.org/W1990283827","https://openalex.org/W1998271765","https://openalex.org/W2001658494","https://openalex.org/W2011860419","https://openalex.org/W2012437014","https://openalex.org/W2015666220","https://openalex.org/W2017355609","https://openalex.org/W2017571276","https://openalex.org/W2019487448","https://openalex.org/W2019897249","https://openalex.org/W2022581043","https://openalex.org/W2024188704","https://openalex.org/W2028230944","https://openalex.org/W2028461145","https://openalex.org/W2031266556","https://openalex.org/W2031441801","https://openalex.org/W2035996265","https://openalex.org/W2045253114","https://openalex.org/W2045363063","https://openalex.org/W2054915930","https://openalex.org/W2064076233","https://openalex.org/W2069726223","https://openalex.org/W2076582418","https://openalex.org/W2080991003","https://openalex.org/W2082187902","https://openalex.org/W2083895793","https://openalex.org/W2090105604","https://openalex.org/W2091320748","https://openalex.org/W2108093008","https://openalex.org/W2129758218","https://openalex.org/W2132347922","https://openalex.org/W2220510513","https://openalex.org/W2468654407","https://openalex.org/W2963812646","https://openalex.org/W3100645514","https://openalex.org/W4239704419","https://openalex.org/W4298442294"],"related_works":["https://openalex.org/W2102789413","https://openalex.org/W3155239281","https://openalex.org/W2096467061","https://openalex.org/W1965237235","https://openalex.org/W4230788905","https://openalex.org/W2126858039","https://openalex.org/W2940603871","https://openalex.org/W1532287630","https://openalex.org/W2028331352","https://openalex.org/W2052500721"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":15},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}