{"id":"https://openalex.org/W2478375385","doi":"https://doi.org/10.1007/978-3-642-79654-8_161","title":"Petrov-Galerkin Finite Element Approach for the Conservative Navier-Stokes Equations","display_name":"Petrov-Galerkin Finite Element Approach for the Conservative Navier-Stokes Equations","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W2478375385","doi":"https://doi.org/10.1007/978-3-642-79654-8_161","mag":"2478375385"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-79654-8_161","doi":"https://doi.org/10.1007/978-3-642-79654-8_161","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-79654-8_161","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Mechanics \u201995","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2495680075","display_name":"Computational Mechanics \u201995"},"type":"book-chapter","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/A5026374813","display_name":"Kazuhiko Kakuda","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I104946051","display_name":"Nihon University","ror":"https://ror.org/05jk51a88","country_code":"JP","type":"education","lineage":["https://openalex.org/I104946051"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"K. Kakuda","raw_affiliation_strings":["Nihon University, Chiba, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nihon University, Chiba, Japan","institution_ids":["https://openalex.org/I104946051"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066181685","display_name":"Nobuyoshi Tosaka","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I104946051","display_name":"Nihon University","ror":"https://ror.org/05jk51a88","country_code":"JP","type":"education","lineage":["https://openalex.org/I104946051"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"N. Tosaka","raw_affiliation_strings":["Nihon University, Chiba, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nihon University, Chiba, Japan","institution_ids":["https://openalex.org/I104946051"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031451887","display_name":"Thomas J.R. Hughes","orcid":"https://orcid.org/0000-0001-7024-8368","observed_orcids":["https://orcid.org/0000-0001-7024-8368","https://orcid.org/0009-0008-4299-5145"]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas J. R. Hughes","raw_affiliation_strings":["Stanford University, California, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University, California, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.39057002,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"989","last_page":"994"},"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":0.989300012588501,"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":0.989300012588501,"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":0.010599999688565731,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.0,"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/petrov-galerkin-finite-element-method","display_name":"Petrov-Galerkin finite element method","score":0.9739999771118164},{"id":"https://openalex.org/keywords/navier-stokes-equations","display_name":"Navier-Stokes equations","score":0.9440000057220459},{"id":"https://openalex.org/keywords/conservative-formulation","display_name":"conservative formulation","score":0.597000002861023},{"id":"https://openalex.org/keywords/high-reynolds-number-flow","display_name":"high Reynolds number flow","score":0.8339999914169312},{"id":"https://openalex.org/keywords/oscillatory-solutions","display_name":"oscillatory solutions","score":0.6850000023841858},{"id":"https://openalex.org/keywords/upwind-schemes","display_name":"upwind schemes","score":0.9559999704360962},{"id":"https://openalex.org/keywords/viscous-flow-simulation","display_name":"viscous flow simulation","score":0.7699999809265137},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"numerical stability","score":0.5479999780654907}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.8120816946029663},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.688601553440094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6795634031295776},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6345379948616028},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.5480331778526306},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5249238610267639},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.5175818204879761},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.5037433505058289},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4609646499156952},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.456032395362854},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.43687915802001953},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4292146563529968},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.22732341289520264},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20472362637519836},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17487379908561707},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.0701591968536377},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-79654-8_161","doi":"https://doi.org/10.1007/978-3-642-79654-8_161","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-79654-8_161","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Mechanics \u201995","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W182089398","https://openalex.org/W618110921","https://openalex.org/W1997027646","https://openalex.org/W2021041911","https://openalex.org/W2073897969","https://openalex.org/W2124192278","https://openalex.org/W2333396542","https://openalex.org/W2744008313","https://openalex.org/W2779243254","https://openalex.org/W3185849667","https://openalex.org/W6636093862","https://openalex.org/W6641059136"],"related_works":["https://openalex.org/W1966404814","https://openalex.org/W2013149068","https://openalex.org/W3014825972","https://openalex.org/W2051196472","https://openalex.org/W4235297135","https://openalex.org/W3215851212","https://openalex.org/W2999627010","https://openalex.org/W2335561452","https://openalex.org/W1995068942","https://openalex.org/W1991291508"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-08-23T00:00:00"}
