{"id":"https://openalex.org/W3002966632","doi":"https://doi.org/10.1137/19m1246845","title":"Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier--Stokes Equations","display_name":"Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier--Stokes Equations","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3002966632","doi":"https://doi.org/10.1137/19m1246845","mag":"3002966632"},"language":"en","primary_location":{"id":"doi:10.1137/19m1246845","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1246845","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":"http://hdl.handle.net/10486/689924","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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"]},{"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":true,"raw_author_name":"Bosco Garc\u00eda-Archilla","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada II, Universidad de Sevilla, Sevilla, Spain","Repositorio Institucional de la Universidad Aut\u00f3noma de Madrid https://repositorio.uam.es Esta es la versi\u00f3n de autor"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada II, Universidad de Sevilla, Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Repositorio Institucional de la Universidad Aut\u00f3noma de Madrid https://repositorio.uam.es Esta es la versi\u00f3n de autor","institution_ids":["https://openalex.org/I63634437"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071288352","display_name":"Julia Novo","orcid":"https://orcid.org/0000-0001-6667-5666"},"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":"Julia Novo","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma de Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma de Madrid, Spain","institution_ids":["https://openalex.org/I63634437"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076835339","display_name":"Edriss S. Titi","orcid":"https://orcid.org/0000-0002-5004-1746"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]},{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]},{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["GB","IL","US"],"is_corresponding":false,"raw_author_name":"Edriss S. Titi","raw_affiliation_strings":["Department of Mathematics, Texas A&M University, College Station, TX 77843, USA. De-partment of Applied Mathematics and Theoretical Physics,","University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK. Department of Computer Science and Applied Mathematics,","Weizmann Institute of Science, Rehovot 76100, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A&M University, College Station, TX 77843, USA. De-partment of Applied Mathematics and Theoretical Physics,","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK. Department of Computer Science and Applied Mathematics,","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Weizmann Institute of Science, Rehovot 76100, Israel","institution_ids":["https://openalex.org/I53964585"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036192142"],"corresponding_institution_ids":["https://openalex.org/I63634437","https://openalex.org/I79238269"],"apc_list":null,"apc_paid":null,"fwci":3.179,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.93244681,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"58","issue":"1","first_page":"410","last_page":"429"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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":0.9991000294685364,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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":0.7119013667106628},{"id":"https://openalex.org/keywords/data-assimilation","display_name":"Data assimilation","score":0.6935821771621704},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6856127977371216},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6837863922119141},{"id":"https://openalex.org/keywords/downscaling","display_name":"Downscaling","score":0.5559558272361755},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5326886773109436},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4780597984790802},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47131189703941345},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.43985307216644287},{"id":"https://openalex.org/keywords/lagrange-polynomial","display_name":"Lagrange polynomial","score":0.4315764904022217},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.4212881326675415},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4093155562877655},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17790067195892334},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.14531219005584717},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13126826286315918}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7119013667106628},{"id":"https://openalex.org/C24552861","wikidata":"https://www.wikidata.org/wiki/Q2670177","display_name":"Data assimilation","level":2,"score":0.6935821771621704},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6856127977371216},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6837863922119141},{"id":"https://openalex.org/C41156917","wikidata":"https://www.wikidata.org/wiki/Q682831","display_name":"Downscaling","level":3,"score":0.5559558272361755},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5326886773109436},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4780597984790802},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47131189703941345},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.43985307216644287},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.4315764904022217},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.4212881326675415},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4093155562877655},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17790067195892334},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.14531219005584717},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13126826286315918},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C132651083","wikidata":"https://www.wikidata.org/wiki/Q7942","display_name":"Climate change","level":2,"score":0.0},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"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/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/19m1246845","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1246845","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:biblosearchi::ddbbee626c33b7d97a9ebb867faa4bdd","is_oa":true,"landing_page_url":"http://hdl.handle.net/10486/689924","pdf_url":"http://hdl.handle.net/10486/689924","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt44h3w1f9","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/44h3w1f9","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Numerical Analysis, vol 58, iss 1","raw_type":"article"},{"id":"pmh:oai:idus.us.es:11441/152692","is_oa":true,"landing_page_url":"https://idus.us.es/handle//11441/152692","pdf_url":null,"source":{"id":"https://openalex.org/S4306400333","display_name":"idUS (Universidad de Sevilla)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79238269","host_organization_name":"Universidad de Sevilla","host_organization_lineage":["https://openalex.org/I79238269"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dnet:biblosearchi::ddbbee626c33b7d97a9ebb867faa4bdd","is_oa":true,"landing_page_url":"http://hdl.handle.net/10486/689924","pdf_url":"http://hdl.handle.net/10486/689924","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1552652503","display_name":null,"funder_award_id":"VA024P17","funder_id":"https://openalex.org/F4320326262","funder_display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a"},{"id":"https://openalex.org/G1643641974","display_name":null,"funder_award_id":"AEI/FEDER","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G1973875859","display_name":null,"funder_award_id":"N00014-15-1-2333","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G4664384973","display_name":null,"funder_award_id":"PGC2018-096265-B-I00","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G4816244515","display_name":null,"funder_award_id":"FEDER","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G5498021122","display_name":null,"funder_award_id":"VA024P17","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G6883335302","display_name":null,"funder_award_id":"MTM2016-78995-P","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7115649624","display_name":null,"funder_award_id":"FEDER, UE","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7931865478","display_name":null,"funder_award_id":"4-15-1-","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G8177107202","display_name":null,"funder_award_id":"MTM2016-78995-P","funder_id":"https://openalex.org/F4320326262","funder_display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320308774","display_name":"John Simon Guggenheim Memorial Foundation","ror":"https://ror.org/0407tnq23"},{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320323688","display_name":"Einstein Stiftung Berlin","ror":"https://ror.org/03s0fv852"},{"id":"https://openalex.org/F4320326262","display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a","ror":"https://ror.org/03sv46s19"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3002966632.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1967936314","https://openalex.org/W1974461496","https://openalex.org/W1979749650","https://openalex.org/W1986755923","https://openalex.org/W1990941154","https://openalex.org/W2007751122","https://openalex.org/W2007955707","https://openalex.org/W2009985306","https://openalex.org/W2013485643","https://openalex.org/W2014866425","https://openalex.org/W2035587664","https://openalex.org/W2041999024","https://openalex.org/W2042172897","https://openalex.org/W2051708601","https://openalex.org/W2061423965","https://openalex.org/W2062755780","https://openalex.org/W2073256259","https://openalex.org/W2077186677","https://openalex.org/W2091680275","https://openalex.org/W2099936591","https://openalex.org/W2112550298","https://openalex.org/W2134528122","https://openalex.org/W2201851948","https://openalex.org/W2213427462","https://openalex.org/W2535353373","https://openalex.org/W2589419337","https://openalex.org/W2781629936","https://openalex.org/W2963874367","https://openalex.org/W2963894671","https://openalex.org/W3101512171","https://openalex.org/W3125802632"],"related_works":["https://openalex.org/W2394436593","https://openalex.org/W3013458534","https://openalex.org/W3010558748","https://openalex.org/W2526815458","https://openalex.org/W4220911053","https://openalex.org/W2380042710","https://openalex.org/W2944582722","https://openalex.org/W4377833746","https://openalex.org/W4387102043","https://openalex.org/W769766909"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,43,97],"analyze":[4],"a":[5,11,33,51,62,82,87],"finite":[6,63],"element":[7,64],"method":[8,85,89,96],"applied":[9],"to":[10,29,71],"continuous":[12],"downscaling":[13],"data":[14],"assimilation":[15],"algorithm":[16],"for":[17,58],"the":[18,22,39,59,67,72,79,94,103,112,118],"numerical":[19,115],"approximation":[20,65],"of":[21,47,81,111],"two-":[23],"and":[24,66,86],"three-dimensional":[25],"Navier--Stokes":[26],"equations":[27],"corresponding":[28,70],"given":[30],"measurements":[31,42],"on":[32,108],"coarse":[34,40,73],"spatial":[35],"scale.":[36],"For":[37,93],"representing":[38],"mesh":[41,74],"consider":[44,77],"different":[45],"types":[46],"interpolation":[48],"operators":[49],"including":[50],"Lagrange":[52],"interpolant.":[53],"We":[54,76],"obtain":[55],"uniform-in-time":[56],"estimates":[57],"error":[60,99],"between":[61],"reference":[68],"solution":[69],"measurements.":[75],"both":[78],"case":[80],"plain":[83],"Galerkin":[84,88],"with":[90],"grad-div":[91],"stabilization.":[92],"stabilized":[95],"prove":[98],"bounds":[100],"in":[101],"which":[102],"constants":[104],"do":[105],"not":[106],"depend":[107],"inverse":[109],"powers":[110],"viscosity.":[113],"Some":[114],"experiments":[116],"illustrate":[117],"theoretical":[119],"results.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
