{"id":"https://openalex.org/W2007955707","doi":"https://doi.org/10.1137/040602821","title":"The Postprocessed Mixed Finite-Element Method for the Navier--Stokes Equations","display_name":"The Postprocessed Mixed Finite-Element Method for the Navier--Stokes Equations","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2007955707","doi":"https://doi.org/10.1137/040602821","mag":"2007955707"},"language":"en","primary_location":{"id":"doi:10.1137/040602821","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040602821","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://epubs.siam.org/doi/10.1137/040602821","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070027067","display_name":"Blanca Ayuso de Dios","orcid":"https://orcid.org/0000-0003-4144-6984"},"institutions":[{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Blanca Ayuso","raw_affiliation_strings":["Autonomous University of Madrid"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Autonomous University of Madrid","institution_ids":["https://openalex.org/I63634437"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036192142","display_name":"Bosco Garc\u0131\u0301a-Archilla","orcid":"https://orcid.org/0000-0002-4503-8972"},"institutions":[{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Bosco Garc\u00eda-Archilla","raw_affiliation_strings":["Autonomous University of Madrid"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Autonomous University of Madrid","institution_ids":["https://openalex.org/I63634437"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071288352","display_name":"Julia Novo","orcid":"https://orcid.org/0000-0001-6667-5666"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Julia Novo","raw_affiliation_strings":["University of Seville ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Seville ,","institution_ids":["https://openalex.org/I79238269"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6996,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.8269068,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"43","issue":"3","first_page":"1091","last_page":"1111"},"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":0.9991000294685364,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.998199999332428,"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":0.7702274322509766},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7076900601387024},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6401607990264893},{"id":"https://openalex.org/keywords/spectral-element-method","display_name":"Spectral element method","score":0.5784639716148376},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.5694628953933716},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5683961510658264},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.5196670293807983},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.4942591190338135},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4822328984737396},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.4691639840602875},{"id":"https://openalex.org/keywords/extended-finite-element-method","display_name":"Extended finite element method","score":0.4611307680606842},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.450857549905777},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.4404981732368469},{"id":"https://openalex.org/keywords/pressure-correction-method","display_name":"Pressure-correction method","score":0.42901092767715454},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3263291120529175},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.09189906716346741},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08207285404205322},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05723252892494202}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7702274322509766},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7076900601387024},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6401607990264893},{"id":"https://openalex.org/C38961997","wikidata":"https://www.wikidata.org/wiki/Q7575186","display_name":"Spectral element method","level":4,"score":0.5784639716148376},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.5694628953933716},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5683961510658264},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.5196670293807983},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4942591190338135},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4822328984737396},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.4691639840602875},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.4611307680606842},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.450857549905777},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.4404981732368469},{"id":"https://openalex.org/C21018558","wikidata":"https://www.wikidata.org/wiki/Q7241680","display_name":"Pressure-correction method","level":3,"score":0.42901092767715454},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3263291120529175},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.09189906716346741},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08207285404205322},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05723252892494202},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/040602821","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040602821","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:dnet:idus________::dc1300f6c71b923927ade30840f4715b","is_oa":false,"landing_page_url":"https://idus.us.es/handle/11441/57768","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:boa.unimib.it:10281/218450","is_oa":true,"landing_page_url":"https://epubs.siam.org/doi/10.1137/040602821","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:cris.unibo.it:11585/384410","is_oa":false,"landing_page_url":"http://hdl.handle.net/11585/384410","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:boa.unimib.it:10281/218450","is_oa":true,"landing_page_url":"https://epubs.siam.org/doi/10.1137/040602821","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310967","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24"},{"id":"https://openalex.org/F4320328351","display_name":"Junta de Castilla y Le\u00f3n","ror":"https://ror.org/02s8dab97"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1487997876","https://openalex.org/W1560060148","https://openalex.org/W1564341447","https://openalex.org/W1570440531","https://openalex.org/W1674659126","https://openalex.org/W1852082788","https://openalex.org/W1966901194","https://openalex.org/W1967936314","https://openalex.org/W1970723296","https://openalex.org/W1976939085","https://openalex.org/W1980194259","https://openalex.org/W1987049901","https://openalex.org/W2013485643","https://openalex.org/W2020277732","https://openalex.org/W2022980663","https://openalex.org/W2041523977","https://openalex.org/W2041874478","https://openalex.org/W2041999024","https://openalex.org/W2051708601","https://openalex.org/W2062618977","https://openalex.org/W2062835347","https://openalex.org/W2073256259","https://openalex.org/W2077186677","https://openalex.org/W2088544495","https://openalex.org/W2091680275","https://openalex.org/W2131778920","https://openalex.org/W2156538787","https://openalex.org/W2407309326","https://openalex.org/W2497754766","https://openalex.org/W2535973907","https://openalex.org/W2802365918","https://openalex.org/W3148800415","https://openalex.org/W3149667697","https://openalex.org/W4231160115","https://openalex.org/W4252104256","https://openalex.org/W4298060601"],"related_works":["https://openalex.org/W1989473560","https://openalex.org/W2565231037","https://openalex.org/W1977906733","https://openalex.org/W1567939749","https://openalex.org/W2376732695","https://openalex.org/W2185206193","https://openalex.org/W3196813885","https://openalex.org/W1484989134","https://openalex.org/W1977714802","https://openalex.org/W2059231045"],"abstract_inverted_index":{"A":[0],"postprocessing":[1,31],"technique":[2,15,62],"for":[3,7,19,25],"mixed":[4],"finite-element":[5,23],"methods":[6,24],"the":[8,46,50,64,69,72,85,89],"incompressible":[9],"Navier--Stokes":[10],"equations":[11],"is":[12,53],"studied.":[13],"The":[14,30,55],"was":[16],"earlier":[17],"developed":[18],"spectral":[20],"and":[21,71,88],"standard":[22],"dissipative":[26],"partial":[27],"differential":[28],"equations.":[29],"amounts":[32],"to":[33],"solving":[34],"a":[35,39],"Stokes":[36],"problem":[37],"on":[38,49],"finer":[40],"grid":[41],"(or":[42],"higher-order":[43],"space)":[44],"once":[45],"time":[47],"integration":[48],"coarser":[51],"mesh":[52],"completed.":[54],"analysis":[56],"presented":[57,78],"here":[58],"shows":[59],"that":[60,79],"this":[61,82],"increases":[63],"convergence":[65,86],"rate":[66,87],"of":[67],"both":[68,81],"velocity":[70],"pressure":[73],"approximations.":[74],"Numerical":[75],"experiments":[76],"are":[77],"confirm":[80],"increase":[83],"in":[84,92],"corresponding":[90],"improvement":[91],"computational":[93],"efficiency.":[94]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
