{"id":"https://openalex.org/W2964237553","doi":"https://doi.org/10.1137/16m1076770","title":"Accelerating the Uzawa Algorithm","display_name":"Accelerating the Uzawa Algorithm","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2964237553","doi":"https://doi.org/10.1137/16m1076770","mag":"2964237553"},"language":"en","primary_location":{"id":"doi:10.1137/16m1076770","doi":"https://doi.org/10.1137/16m1076770","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1076770","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1"],"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 Scientific Computing","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1510.04246","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082183021","display_name":"Nguyenho Ho","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nguyenho Ho","raw_affiliation_strings":["Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA 01609-2280, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA 01609-2280, USA","institution_ids":["https://openalex.org/I107077323"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015678609","display_name":"Sarah D. Olson","orcid":"https://orcid.org/0000-0003-3239-0579","observed_orcids":["https://orcid.org/0000-0003-3239-0579"]},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sarah D. Olson","raw_affiliation_strings":["Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA 01609-2280, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA 01609-2280, USA","institution_ids":["https://openalex.org/I107077323"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049591038","display_name":"Homer F. Walker","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Homer F. Walker","raw_affiliation_strings":["Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA 01609-2280, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA 01609-2280, USA","institution_ids":["https://openalex.org/I107077323"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I107077323"],"apc_list":null,"apc_paid":null,"fwci":1.1848,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.80355435,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"39","issue":"5","first_page":"S461","last_page":"S476"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.009700000286102295,"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":0.00039999998989515007,"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/uzawa-method","display_name":"Uzawa algorithm","score":1.0},{"id":"https://openalex.org/keywords/anderson-acceleration","display_name":"Anderson acceleration","score":0.8600000143051147},{"id":"https://openalex.org/keywords/saddle-point-problems","display_name":"saddle point problems","score":0.9620000123977661},{"id":"https://openalex.org/keywords/fixed-point-iteration","display_name":"fixed point iteration","score":0.7919999957084656},{"id":"https://openalex.org/keywords/preconditioning","display_name":"preconditioning","score":0.7480000257492065},{"id":"https://openalex.org/keywords/oseen-equations","display_name":"Oseen equations","score":0.9919999837875366},{"id":"https://openalex.org/keywords/incompressible-flow","display_name":"incompressible flow","score":0.9879999756813049},{"id":"https://openalex.org/keywords/convergence-acceleration","display_name":"convergence acceleration","score":0.7310000061988831},{"id":"https://openalex.org/keywords/gmres","display_name":"GMRES","score":0.9160000085830688}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8257986307144165},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.8122637271881104},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7130177021026611},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6499785780906677},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.6002629399299622},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5890858173370361},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.413900226354599},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4061931371688843},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3564411997795105},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1484283208847046},{"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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/16m1076770","doi":"https://doi.org/10.1137/16m1076770","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1076770","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1510.04246","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1510.04246","pdf_url":"https://arxiv.org/pdf/1510.04246","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.1510.04246","doi":"https://doi.org/10.48550/arxiv.1510.04246","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1510.04246","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1510.04246","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1510.04246","pdf_url":"https://arxiv.org/pdf/1510.04246","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3145837408","display_name":"CAREER: Numerical Methods and Biomechanical Models for Sperm Motility","funder_award_id":"1455270","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3829367159","display_name":"TAS::89 0222::TAS NEW; ANDERSON ACCELERATION FOR FIXED-POINT ITERATIONS; PI - HOMER WALKER","funder_award_id":"DESC0004880","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5260145299","display_name":"MRI: Acquisition of a High-Performance Computing System for Research, Education, and Training","funder_award_id":"1337943","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8345998334","display_name":"Mechanisms of marine invertebrate sperm chemotaxis:  from cellular signaling to flagellar swimming","funder_award_id":"1122461","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2964237553.pdf","grobid_xml":"https://content.openalex.org/works/W2964237553.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W1958731492","https://openalex.org/W1966801132","https://openalex.org/W1967011851","https://openalex.org/W1979125951","https://openalex.org/W1985340647","https://openalex.org/W1988991628","https://openalex.org/W1991393417","https://openalex.org/W1993646673","https://openalex.org/W1995289934","https://openalex.org/W1999610976","https://openalex.org/W2002102128","https://openalex.org/W2002673363","https://openalex.org/W2004291775","https://openalex.org/W2022456764","https://openalex.org/W2024621437","https://openalex.org/W2026635066","https://openalex.org/W2029577565","https://openalex.org/W2030925155","https://openalex.org/W2038281434","https://openalex.org/W2038692764","https://openalex.org/W2043227885","https://openalex.org/W2051686220","https://openalex.org/W2058767852","https://openalex.org/W2061748118","https://openalex.org/W2067941796","https://openalex.org/W2074159967","https://openalex.org/W2083717355","https://openalex.org/W2092439735","https://openalex.org/W2093753671","https://openalex.org/W2094877794","https://openalex.org/W2100514507","https://openalex.org/W2111228815","https://openalex.org/W2133248904","https://openalex.org/W2136722618","https://openalex.org/W2137512990","https://openalex.org/W2140153041","https://openalex.org/W2141870784","https://openalex.org/W2143228255","https://openalex.org/W2157590940","https://openalex.org/W2162482821","https://openalex.org/W3146410598"],"related_works":["https://openalex.org/W2029577565","https://openalex.org/W1985340647","https://openalex.org/W2004291775","https://openalex.org/W2010014741","https://openalex.org/W1973317191","https://openalex.org/W2526704234","https://openalex.org/W1995289934","https://openalex.org/W2020451680","https://openalex.org/W1995215291","https://openalex.org/W2249808059"],"abstract_inverted_index":{"The":[0,80],"Uzawa":[1,23,52,87],"algorithm":[2,24,53,88,94],"is":[3,98],"an":[4],"iterative":[5],"method":[6],"for":[7,65],"the":[8,22,31,43,47,50,84,93,101],"solution":[9],"of":[10,33,49],"saddle-point":[11],"problems,":[12],"which":[13],"arise":[14],"in":[15,72],"many":[16],"applications,":[17],"including":[18],"fluid":[19],"dynamics.":[20],"Viewing":[21],"as":[25,38],"a":[26],"fixed-point":[27],"iteration,":[28],"we":[29,70],"explore":[30],"use":[32],"Anderson":[34,39],"acceleration":[35,57,96],"(also":[36],"known":[37],"mixing)":[40],"to":[41],"improve":[42],"convergence.":[44],"We":[45],"compare":[46],"performance":[48],"preconditioned":[51,86],"with":[54,76,100],"and":[55,62,97],"without":[56,95],"on":[58],"several":[59],"steady":[60],"Stokes":[61],"Oseen":[63],"problems":[64],"incompressible":[66],"flows.":[67],"For":[68],"perspective,":[69],"include":[71],"our":[73],"comparison":[74],"GMRES":[75],"two":[77],"different":[78],"preconditioners.":[79],"results":[81],"indicate":[82],"that":[83],"accelerated":[85],"converges":[89],"significantly":[90],"faster":[91],"than":[92],"competitive":[99],"other":[102],"methods":[103],"considered.":[104]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2019-07-30T00:00:00"}
