{"id":"https://openalex.org/W2030703553","doi":"https://doi.org/10.1137/s0036142903435429","title":"Pressure Correction Algebraic Splitting Methods for the Incompressible Navier--Stokes Equations","display_name":"Pressure Correction Algebraic Splitting Methods for the Incompressible Navier--Stokes Equations","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2030703553","doi":"https://doi.org/10.1137/s0036142903435429","mag":"2030703553"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142903435429","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142903435429","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026478979","display_name":"Fausto Saleri","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"F. Saleri","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5086729944","display_name":"Alessandro Veneziani","orcid":"https://orcid.org/0000-0001-8916-1190"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Veneziani","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.9706,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.95046472,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"43","issue":"1","first_page":"174","last_page":"194"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9993000030517578,"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":0.9988999962806702,"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/mathematics","display_name":"Mathematics","score":0.8315140008926392},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6633955836296082},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6628405451774597},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6514549255371094},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.538964033126831},{"id":"https://openalex.org/keywords/pressure-correction-method","display_name":"Pressure-correction method","score":0.5000872611999512},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.4891126751899719},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47781017422676086},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4651084542274475},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4466026723384857},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4201611280441284},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.4129982590675354},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32177212834358215},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.1481872797012329},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.13395386934280396},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12216174602508545},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11977416276931763}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8315140008926392},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6633955836296082},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6628405451774597},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6514549255371094},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.538964033126831},{"id":"https://openalex.org/C21018558","wikidata":"https://www.wikidata.org/wiki/Q7241680","display_name":"Pressure-correction method","level":3,"score":0.5000872611999512},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.4891126751899719},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47781017422676086},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4651084542274475},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4466026723384857},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4201611280441284},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.4129982590675354},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32177212834358215},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.1481872797012329},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.13395386934280396},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12216174602508545},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11977416276931763},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036142903435429","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142903435429","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:re.public.polimi.it:11311/554719","is_oa":false,"landing_page_url":"http://hdl.handle.net/11311/554719","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1596838038","https://openalex.org/W1598578620","https://openalex.org/W1967011851","https://openalex.org/W1979217793","https://openalex.org/W1979677378","https://openalex.org/W2000450704","https://openalex.org/W2002335991","https://openalex.org/W2002425660","https://openalex.org/W2004168836","https://openalex.org/W2008893060","https://openalex.org/W2014382920","https://openalex.org/W2019113499","https://openalex.org/W2021442667","https://openalex.org/W2022315116","https://openalex.org/W2030213082","https://openalex.org/W2042997072","https://openalex.org/W2048100126","https://openalex.org/W2052186414","https://openalex.org/W2052487661","https://openalex.org/W2061890852","https://openalex.org/W2074559164","https://openalex.org/W2076077791","https://openalex.org/W2096130365","https://openalex.org/W2097830129","https://openalex.org/W2128518767","https://openalex.org/W2156946226","https://openalex.org/W2969262004","https://openalex.org/W3149667697","https://openalex.org/W4292079189"],"related_works":["https://openalex.org/W2313597186","https://openalex.org/W1991751407","https://openalex.org/W2042362390","https://openalex.org/W3121433706","https://openalex.org/W4233568714","https://openalex.org/W1988703624","https://openalex.org/W2055861932","https://openalex.org/W265525530","https://openalex.org/W4236797467","https://openalex.org/W2516370737"],"abstract_inverted_index":{"In":[0,59],"this":[1,92],"paper":[2],"we":[3,61],"present":[4],"a":[5,76,101],"new":[6,160],"family":[7],"of":[8,15,28,38,68,87,108,151,158],"methods":[9,22,161],"for":[10,137],"the":[11,16,29,39,83,88,106,139,149,155,159],"effective":[12],"numerical":[13,168],"solution":[14],"incompressible":[17],"unsteady":[18],"Navier--Stokes":[19,141],"equations.":[20],"These":[21],"resort":[23],"to":[24],"an":[25],"algebraic":[26,66,69,95],"splitting":[27,152],"discretized":[30],"problem":[31],"based":[32],"on":[33,154,166],"inexact":[34,65],"LU":[35],"block":[36],"factorizations":[37,67],"corresponding":[40],"matrix":[41],"(following":[42],"[A.":[43,131],"Quarteroni,":[44],"F.":[45,118],"Saleri,":[46],"and":[47,71,74,117,134,148,164],"A.":[48],"Veneziani,":[49],"Comput.":[50],"Methods":[51,125,136],"Appl.":[52],"Mech.":[53],"Engrg.,":[54],"188":[55],"(2000),":[56],"pp.":[57,129],"505--526].":[58],"particular,":[60],"will":[62],"start":[63],"from":[64],"Chorin--Temam":[70,96],"Yosida":[72],"type":[73],"introduce":[75],"pressure":[77,97],"correction":[78,98],"step":[79,157],"aimed":[80],"at":[81],"improving":[82],"time":[84,156],"accuracy.":[85],"One":[86],"schemes":[89,111],"obtained":[90],"in":[91,105],"way":[93],"(the":[94],"method)":[99],"resembles":[100],"method":[102],"previously":[103],"introduced":[104],"framework":[107],"differential":[109],"projection":[110],"(see":[112],"[L.":[113],"Timmermans,":[114],"P.":[115],"Minev,":[116],"V.":[119],"de":[120],"Vosse,":[121],"Internat.":[122],"J.":[123],"Numer.":[124],"Fluids,":[126],"22":[127],"(1996),":[128],"673--688],":[130],"Prohl,":[132],"Projection":[133],"Quasi-Compressibility":[135],"Solving":[138],"Incompressible":[140],"Equations,":[142],"Teubner,":[143],"Stuttgart,":[144],"1997].":[145],"The":[146],"stability":[147],"dependence":[150],"error":[153],"is":[162],"investigated":[163],"tested":[165],"several":[167],"cases.":[169]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":6},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}