{"id":"https://openalex.org/W1983172769","doi":"https://doi.org/10.1137/100819436","title":"Time-Splitting Methods to Solve the Stochastic Incompressible Stokes Equation","display_name":"Time-Splitting Methods to Solve the Stochastic Incompressible Stokes Equation","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1983172769","doi":"https://doi.org/10.1137/100819436","mag":"1983172769"},"language":"en","primary_location":{"id":"doi:10.1137/100819436","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100819436","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/A5072821586","display_name":"Erich Carelli","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Erich Carelli","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051155796","display_name":"Erika Hausenblas","orcid":"https://orcid.org/0000-0002-1762-9521"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Erika Hausenblas","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5046668672","display_name":"Andreas Prohl","orcid":"https://orcid.org/0000-0003-4523-9536"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andreas Prohl","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072821586"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2072,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.55073545,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"50","issue":"6","first_page":"2917","last_page":"2939"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12405","display_name":"Characterization and Applications of Magnetic Nanoparticles","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T12405","display_name":"Characterization and Applications of Magnetic Nanoparticles","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8112269043922424},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.7092451453208923},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6113089919090271},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.528046727180481},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.5210713148117065},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4820078909397125},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4649907946586609},{"id":"https://openalex.org/keywords/incompressible-flow","display_name":"Incompressible flow","score":0.4564433693885803},{"id":"https://openalex.org/keywords/solenoidal-vector-field","display_name":"Solenoidal vector field","score":0.42894411087036133},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3670932650566101},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.2571994960308075},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12544256448745728},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10747596621513367},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.08554589748382568},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.0824970006942749},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07883977890014648}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8112269043922424},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.7092451453208923},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6113089919090271},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.528046727180481},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.5210713148117065},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4820078909397125},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4649907946586609},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.4564433693885803},{"id":"https://openalex.org/C7451433","wikidata":"https://www.wikidata.org/wiki/Q1265039","display_name":"Solenoidal vector field","level":3,"score":0.42894411087036133},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3670932650566101},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.2571994960308075},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12544256448745728},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10747596621513367},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.08554589748382568},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0824970006942749},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07883977890014648},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/100819436","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100819436","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"No poverty","score":0.6700000166893005,"id":"https://metadata.un.org/sdg/1"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1596838038","https://openalex.org/W1674659126","https://openalex.org/W1835211804","https://openalex.org/W1966056561","https://openalex.org/W1985105993","https://openalex.org/W1986608219","https://openalex.org/W1988754720","https://openalex.org/W1998196947","https://openalex.org/W2015535719","https://openalex.org/W2020438216","https://openalex.org/W2031753395","https://openalex.org/W2057380076","https://openalex.org/W2058063286","https://openalex.org/W2076077791","https://openalex.org/W2115473533","https://openalex.org/W2118922968","https://openalex.org/W2137055417","https://openalex.org/W2963848067","https://openalex.org/W3149667697"],"related_works":["https://openalex.org/W2025438663","https://openalex.org/W2349952486","https://openalex.org/W1489260687","https://openalex.org/W86477321","https://openalex.org/W3024323046","https://openalex.org/W2131115966","https://openalex.org/W1669816071","https://openalex.org/W2039262714","https://openalex.org/W2093607043","https://openalex.org/W2743552406"],"abstract_inverted_index":{"For":[0],"the":[1,14,35,48,62,67,76,83],"stochastic":[2,52,86],"incompressible":[3],"time-dependent":[4],"Stokes":[5],"equation,":[6],"we":[7],"study":[8],"different":[9],"time-splitting":[10,32,78],"methods":[11],"that":[12,80],"decouple":[13],"computation":[15],"of":[16,37,50,69,75],"velocity":[17],"and":[18,85],"pressure":[19,64,87],"iterates":[20],"in":[21,34,47,66],"every":[22],"iteration":[23],"step.":[24],"Optimal":[25],"strong":[26],"convergence":[27,45,94],"is":[28],"shown":[29],"for":[30],"Chorin's":[31],"scheme":[33],"case":[36,49,68],"solenoidal":[38],"noise,":[39],"while":[40],"computational":[41],"counterexamples":[42],"show":[43],"poor":[44],"behavior":[46],"general":[51,70],"forcing.":[53],"This":[54],"suboptimal":[55],"performance":[56],"may":[57],"be":[58],"traced":[59],"back":[60],"to":[61,92],"nonregular":[63],"process":[65],"noise.":[71],"A":[72],"modified":[73],"version":[74],"deterministic":[77,84],"method":[79],"distinguishes":[81],"between":[82],"removes":[88],"this":[89],"deficiency,":[90],"leading":[91],"optimal":[93],"behavior.":[95]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}