{"id":"https://openalex.org/W2158711792","doi":"https://doi.org/10.1007/s00211-005-0589-2","title":"Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients","display_name":"Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients","publication_year":2005,"publication_date":"2005-02-28","ids":{"openalex":"https://openalex.org/W2158711792","doi":"https://doi.org/10.1007/s00211-005-0589-2","mag":"2158711792"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-005-0589-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-005-0589-2","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":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2324/11821","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102334202","display_name":"Masahisa Tabata","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":true,"raw_author_name":"Masahisa Tabata","raw_affiliation_strings":["Faculty of Mathematics, Kyushu University , 6-10-1, Hakozaki, Higashi-ku, 812-8581, Fukuoka, JAPAN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Kyushu University , 6-10-1, Hakozaki, Higashi-ku, 812-8581, Fukuoka, JAPAN","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087729581","display_name":"Daisuke Tagami","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":"Daisuke Tagami","raw_affiliation_strings":["Faculty of Engineering, Kyushu University, 6-10-1, Hakozaki, Higashi-ku, 812-8581, Fukuoka, JAPAN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Kyushu University, 6-10-1, Hakozaki, Higashi-ku, 812-8581, Fukuoka, JAPAN","institution_ids":["https://openalex.org/I135598925"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102334202"],"corresponding_institution_ids":["https://openalex.org/I135598925"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.6998,"has_fulltext":true,"cited_by_count":51,"citation_normalized_percentile":{"value":0.84476339,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"100","issue":"2","first_page":"351","last_page":"372"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9979000091552734,"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":0.9954000115394592,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7250503301620483},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6541261076927185},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6053628325462341},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5559094548225403},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.5270535945892334},{"id":"https://openalex.org/keywords/buoyancy","display_name":"Buoyancy","score":0.5140045881271362},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49449941515922546},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.4637414216995239},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.44755321741104126},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.42250558733940125},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36444902420043945},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.23917648196220398},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1860673427581787},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09536266326904297},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09223973751068115}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7250503301620483},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6541261076927185},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6053628325462341},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5559094548225403},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.5270535945892334},{"id":"https://openalex.org/C538625479","wikidata":"https://www.wikidata.org/wiki/Q6497624","display_name":"Buoyancy","level":2,"score":0.5140045881271362},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49449941515922546},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.4637414216995239},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44755321741104126},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.42250558733940125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36444902420043945},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.23917648196220398},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1860673427581787},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09536266326904297},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09223973751068115},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00211-005-0589-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-005-0589-2","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"},{"id":"pmh:oai:catalog.lib.kyushu-u.ac.jp:2324/11821","is_oa":true,"landing_page_url":"http://hdl.handle.net/2324/11821","pdf_url":null,"source":{"id":"https://openalex.org/S4306400832","display_name":"Kyushu University Institutional Repository (QIR) (Kyushu University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I135598925","host_organization_name":"Kyushu University","host_organization_lineage":["https://openalex.org/I135598925"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerische Mathematik","raw_type":"journal article"},{"id":"pmh:oai:irdb.nii.ac.jp:01211:0005973354","is_oa":true,"landing_page_url":"https://hdl.handle.net/2324/11821","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerische Mathematik","raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:catalog.lib.kyushu-u.ac.jp:2324/11821","is_oa":true,"landing_page_url":"http://hdl.handle.net/2324/11821","pdf_url":null,"source":{"id":"https://openalex.org/S4306400832","display_name":"Kyushu University Institutional Repository (QIR) (Kyushu University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I135598925","host_organization_name":"Kyushu University","host_organization_lineage":["https://openalex.org/I135598925"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerische Mathematik","raw_type":"journal article"},"sustainable_development_goals":[{"score":0.7200000286102295,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W72174159","https://openalex.org/W1501089035","https://openalex.org/W1674659126","https://openalex.org/W1970437356","https://openalex.org/W1972758848","https://openalex.org/W1988552931","https://openalex.org/W2002425660","https://openalex.org/W2010403620","https://openalex.org/W2017981826","https://openalex.org/W2029063550","https://openalex.org/W2050316228","https://openalex.org/W2051708601","https://openalex.org/W2051862019","https://openalex.org/W2062862691","https://openalex.org/W2084352787","https://openalex.org/W2101743932","https://openalex.org/W2142484159","https://openalex.org/W2199169705","https://openalex.org/W2461212593","https://openalex.org/W2934526567","https://openalex.org/W4205634890","https://openalex.org/W4249273983","https://openalex.org/W4252104256","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W100111986","https://openalex.org/W2347359235","https://openalex.org/W2393144585","https://openalex.org/W2904952518","https://openalex.org/W2383557905","https://openalex.org/W93138363","https://openalex.org/W1974799706","https://openalex.org/W4389408870","https://openalex.org/W2597023719","https://openalex.org/W2135528694"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-18T10:00:31.954636","created_date":"2025-10-10T00:00:00"}