{"id":"https://openalex.org/W2085636837","doi":"https://doi.org/10.1137/050623942","title":"Subgrid Stabilized Defect Correction Methods for the Navier\u2013Stokes Equations","display_name":"Subgrid Stabilized Defect Correction Methods for the Navier\u2013Stokes Equations","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2085636837","doi":"https://doi.org/10.1137/050623942","mag":"2085636837"},"language":"en","primary_location":{"id":"doi:10.1137/050623942","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050623942","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/A5046259835","display_name":"Song\u00fcl Kaya","orcid":"https://orcid.org/0000-0003-4231-3630"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Songul Kaya","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064202954","display_name":"William Layton","orcid":"https://orcid.org/0000-0002-2539-4478"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"William Layton","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5046673531","display_name":"B\u00e9atrice Rivi\u00e8re","orcid":"https://orcid.org/0000-0003-4230-2528"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"B\u00e9atrice Rivi\u00e8re","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046259835"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2734,"has_fulltext":false,"cited_by_count":68,"citation_normalized_percentile":{"value":0.80651809,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"44","issue":"4","first_page":"1639","last_page":"1654"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9993000030517578,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9909999966621399,"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":0.7392893433570862},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7045219540596008},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6034784913063049},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4632294178009033},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.44423535466194153},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3499884605407715},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32504814863204956},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24919649958610535}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7392893433570862},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7045219540596008},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6034784913063049},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4632294178009033},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.44423535466194153},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3499884605407715},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32504814863204956},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24919649958610535},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/050623942","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050623942","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:CiteSeerX.psu:10.1.1.140.2965","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.140.2965","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.pitt.edu/techrep/0501.ps.gz","raw_type":"text"},{"id":"pmh:oai:open.metu.edu.tr:11511/28211","is_oa":false,"landing_page_url":"https://hdl.handle.net/11511/28211","pdf_url":null,"source":{"id":"https://openalex.org/S4306402495","display_name":"OpenMETU (Middle East Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201799495","host_organization_name":"Middle East Technical University","host_organization_lineage":["https://openalex.org/I201799495"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W163297063","https://openalex.org/W1482075108","https://openalex.org/W1548337252","https://openalex.org/W1689196087","https://openalex.org/W1971420294","https://openalex.org/W1973971110","https://openalex.org/W1987753196","https://openalex.org/W2000450704","https://openalex.org/W2003501714","https://openalex.org/W2004494416","https://openalex.org/W2010886593","https://openalex.org/W2013275949","https://openalex.org/W2014289408","https://openalex.org/W2021041911","https://openalex.org/W2024923766","https://openalex.org/W2025732555","https://openalex.org/W2029463917","https://openalex.org/W2031062237","https://openalex.org/W2031460793","https://openalex.org/W2053312403","https://openalex.org/W2086526507","https://openalex.org/W2087062100","https://openalex.org/W2088172521","https://openalex.org/W2090873023","https://openalex.org/W2101460663","https://openalex.org/W2103902025","https://openalex.org/W2118593747","https://openalex.org/W2120278759","https://openalex.org/W2143570568","https://openalex.org/W2150534812","https://openalex.org/W2161594564"],"related_works":["https://openalex.org/W3013650182","https://openalex.org/W4249605382","https://openalex.org/W4313491656","https://openalex.org/W3279617","https://openalex.org/W2989283631","https://openalex.org/W1991183963","https://openalex.org/W2146390824","https://openalex.org/W2250701745","https://openalex.org/W2800717388","https://openalex.org/W4285308861"],"abstract_inverted_index":{"We":[0,27,53],"consider":[1],"the":[2,21,31,40,51,62,67],"synthesis":[3],"of":[4,25,30,37],"a":[5,34],"recent":[6],"subgrid":[7],"stabilization":[8],"method":[9,32],"with":[10],"defect":[11],"correction":[12],"methods.":[13],"The":[14],"combination":[15],"is":[16],"particularly":[17],"efficient":[18],"and":[19,46,65],"combines":[20],"best":[22],"algorithmic":[23],"features":[24],"each.":[26],"prove":[28],"convergence":[29],"for":[33],"fixed":[35],"number":[36],"corrections":[38],"as":[39],"mesh":[41],"size":[42],"goes":[43],"to":[44],"zero":[45],"derive":[47],"parameter":[48],"scalings":[49],"from":[50],"analysis.":[52],"also":[54],"present":[55],"some":[56],"numerical":[57],"tests":[58],"which":[59],"both":[60],"verify":[61],"theoretical":[63],"predictions":[64],"illustrate":[66],"method\u2019s":[68],"promise.":[69]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
