{"id":"https://openalex.org/W61707098","doi":"https://doi.org/10.1023/a:1009979408417","title":"Constructive L2 Error Estimates for Finite Element Solutions of the Stokes Equations","display_name":"Constructive L2 Error Estimates for Finite Element Solutions of the Stokes Equations","publication_year":1998,"publication_date":"1998-05-01","ids":{"openalex":"https://openalex.org/W61707098","doi":"https://doi.org/10.1023/a:1009979408417","mag":"61707098"},"language":"en","primary_location":{"id":"doi:10.1023/a:1009979408417","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1009979408417","pdf_url":null,"source":{"id":"https://openalex.org/S64721560","display_name":"Reliable Computing","issn_l":"1385-3139","issn":["1385-3139","1573-1340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Reliable 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/A5103127770","display_name":"Mitsuhiro T. Nakao","orcid":"https://orcid.org/0000-0001-5228-0591"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Mitsuhiro T. Nakao","raw_affiliation_strings":["Graduate School of Mathematics, Kyushu University 33, Fukuoka, 812-81, Japan, e-mail","Kyushu University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematics, Kyushu University 33, Fukuoka, 812-81, Japan, e-mail","institution_ids":["https://openalex.org/I135598925"]},{"raw_affiliation_string":"Kyushu University","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112254994","display_name":"Nobito Yamamoto","orcid":null},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Nobito Yamamoto","raw_affiliation_strings":["Graduate School of Mathematics, Kyushu University 33, Fukuoka, 812-81, Japan, e-mail","Kyushu University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematics, Kyushu University 33, Fukuoka, 812-81, Japan, e-mail","institution_ids":["https://openalex.org/I135598925"]},{"raw_affiliation_string":"Kyushu University","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020726356","display_name":"Yoshitaka Watanabe","orcid":"https://orcid.org/0000-0001-6520-3552"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshitaka Watanabe","raw_affiliation_strings":["Computer Center, Kyushu University 33, Fukuoka, 812-81, Japan","Computer Center, Kyushu University 33, Fukuoka, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Center, Kyushu University 33, Fukuoka, 812-81, Japan","institution_ids":["https://openalex.org/I135598925"]},{"raw_affiliation_string":"Computer Center, Kyushu University 33, Fukuoka, Japan","institution_ids":["https://openalex.org/I135598925"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103127770"],"corresponding_institution_ids":["https://openalex.org/I135598925"],"apc_list":null,"apc_paid":null,"fwci":1.066,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7211263,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"4","issue":"2","first_page":"115","last_page":"124"},"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":0.9915000200271606,"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":0.9915000200271606,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9670000076293945,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9567000269889832,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.8458116054534912},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.801497220993042},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6564245223999023},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5911003351211548},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5799208879470825},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5494484305381775},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.505066454410553},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4518173038959503},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.43076157569885254},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.41731393337249756},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31785333156585693},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25124722719192505},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.051264405250549316}],"concepts":[{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.8458116054534912},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.801497220993042},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6564245223999023},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5911003351211548},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5799208879470825},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5494484305381775},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.505066454410553},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4518173038959503},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.43076157569885254},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.41731393337249756},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31785333156585693},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25124722719192505},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.051264405250549316},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1009979408417","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1009979408417","pdf_url":null,"source":{"id":"https://openalex.org/S64721560","display_name":"Reliable Computing","issn_l":"1385-3139","issn":["1385-3139","1573-1340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Reliable Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W9578070","https://openalex.org/W1530765156","https://openalex.org/W1586623601","https://openalex.org/W1994580468","https://openalex.org/W2004984506","https://openalex.org/W2037416344","https://openalex.org/W2041523977","https://openalex.org/W2042568701","https://openalex.org/W2045382809","https://openalex.org/W2065972561","https://openalex.org/W2071036364","https://openalex.org/W2082920636","https://openalex.org/W2122602456","https://openalex.org/W2291939333","https://openalex.org/W4252104256","https://openalex.org/W4285719527","https://openalex.org/W6602533018"],"related_works":["https://openalex.org/W4299447939","https://openalex.org/W2610540941","https://openalex.org/W2332908959","https://openalex.org/W3007553996","https://openalex.org/W4388701281","https://openalex.org/W1981407372","https://openalex.org/W2023658642","https://openalex.org/W2126858039","https://openalex.org/W2095507327","https://openalex.org/W2705221988"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2016-06-24T00:00:00"}
