{"id":"https://openalex.org/W2078481404","doi":"https://doi.org/10.1016/s0096-3003(01)00026-1","title":"A defect-correction method for the incompressible Navier\u2013Stokes equations","display_name":"A defect-correction method for the incompressible Navier\u2013Stokes equations","publication_year":2002,"publication_date":"2002-06-01","ids":{"openalex":"https://openalex.org/W2078481404","doi":"https://doi.org/10.1016/s0096-3003(01)00026-1","mag":"2078481404"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(01)00026-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(01)00026-1","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5064202954","display_name":"William Layton","orcid":"https://orcid.org/0000-0002-2539-4478"},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"W. Layton","raw_affiliation_strings":["Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA","Department of Mathematics, University of Pittsburgh, Pittsburgh, Pa. 15260, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA","institution_ids":["https://openalex.org/I170201317"]},{"raw_affiliation_string":"Department of Mathematics, University of Pittsburgh, Pittsburgh, Pa. 15260, USA","institution_ids":["https://openalex.org/I170201317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028307071","display_name":"H. K. Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"H.K. Lee","raw_affiliation_strings":["Department of Mathematical Sciences, Clemson University, Clemson, SC 29634-1907, USA","Department of Mathematical Sciences Clemson University Clemson, SC 29634-1907, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University, Clemson, SC 29634-1907, USA","institution_ids":["https://openalex.org/I8078737"]},{"raw_affiliation_string":"Department of Mathematical Sciences Clemson University Clemson, SC 29634-1907, USA","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004903435","display_name":"Janet Peterson","orcid":null},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Peterson","raw_affiliation_strings":["Department of Mathematics, Iowa State University, Ames, IA 50011, USA","Department of Mathematics, Iowa State University, Ames, IA 50011 USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, IA 50011, USA","institution_ids":["https://openalex.org/I173911158"]},{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, IA 50011 USA#TAB#","institution_ids":["https://openalex.org/I173911158"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028307071"],"corresponding_institution_ids":["https://openalex.org/I8078737"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":1.8455,"has_fulltext":false,"cited_by_count":95,"citation_normalized_percentile":{"value":0.84644166,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"129","issue":"1","first_page":"1","last_page":"19"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9994000196456909,"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":0.9986000061035156,"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/reynolds-number","display_name":"Reynolds number","score":0.809186577796936},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6496257185935974},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6007298827171326},{"id":"https://openalex.org/keywords/pressure-correction-method","display_name":"Pressure-correction method","score":0.5957831144332886},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.5901955366134644},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5857210159301758},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.5488709211349487},{"id":"https://openalex.org/keywords/incompressible-flow","display_name":"Incompressible flow","score":0.5225031971931458},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.44332388043403625},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42796701192855835},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.42602354288101196},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41946959495544434},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.30397552251815796},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.25967711210250854},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25880974531173706},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24739477038383484},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16722050309181213},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12842941284179688},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.07660582661628723},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07017400860786438}],"concepts":[{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.809186577796936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6496257185935974},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6007298827171326},{"id":"https://openalex.org/C21018558","wikidata":"https://www.wikidata.org/wiki/Q7241680","display_name":"Pressure-correction method","level":3,"score":0.5957831144332886},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5901955366134644},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5857210159301758},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.5488709211349487},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.5225031971931458},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.44332388043403625},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42796701192855835},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.42602354288101196},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41946959495544434},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.30397552251815796},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.25967711210250854},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25880974531173706},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24739477038383484},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16722050309181213},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12842941284179688},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.07660582661628723},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07017400860786438},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","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:10.1016/s0096-3003(01)00026-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(01)00026-1","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5099999904632568,"id":"https://metadata.un.org/sdg/14","display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1548337252","https://openalex.org/W1674659126","https://openalex.org/W1971420294","https://openalex.org/W1989343938","https://openalex.org/W2014289408","https://openalex.org/W2021041911","https://openalex.org/W2029670554","https://openalex.org/W2072462126","https://openalex.org/W2477040106","https://openalex.org/W2583658032","https://openalex.org/W4230236522","https://openalex.org/W4232913712","https://openalex.org/W4252104256"],"related_works":["https://openalex.org/W86477321","https://openalex.org/W2093607043","https://openalex.org/W2500173965","https://openalex.org/W1133295873","https://openalex.org/W3009263674","https://openalex.org/W126356357","https://openalex.org/W2091721497","https://openalex.org/W2177716748","https://openalex.org/W2516370737","https://openalex.org/W2467023982"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}