{"id":"https://openalex.org/W3133412646","doi":"https://doi.org/10.1137/19m1241854","title":"Error Estimates for a POD Method for Solving Viscous G-Equations in Incompressible Cellular Flows","display_name":"Error Estimates for a POD Method for Solving Viscous G-Equations in Incompressible Cellular Flows","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3133412646","doi":"https://doi.org/10.1137/19m1241854","mag":"3133412646"},"language":"en","primary_location":{"id":"doi:10.1137/19m1241854","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1241854","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,"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"},"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/A5047850847","display_name":"Haotian Gu","orcid":"https://orcid.org/0000-0002-0268-7147"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Haotian Gu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059708262","display_name":"Jack Xin","orcid":"https://orcid.org/0000-0002-6438-8476"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jack Xin","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-6438-8476","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100611977","display_name":"Zhiwen Zhang","orcid":"https://orcid.org/0000-0002-3123-8885"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhiwen Zhang","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-3123-8885","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7691,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.69591948,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"43","issue":"1","first_page":"A636","last_page":"A662"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9986000061035156,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9984999895095825,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9973000288009644,"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":0.795130729675293},{"id":"https://openalex.org/keywords/proper-orthogonal-decomposition","display_name":"Proper orthogonal decomposition","score":0.6493017673492432},{"id":"https://openalex.org/keywords/point-of-delivery","display_name":"Point of delivery","score":0.6230387091636658},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6178605556488037},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6082075834274292},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5677756071090698},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5500001311302185},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4212407171726227},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36035454273223877},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3480660617351532},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1863711178302765}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.795130729675293},{"id":"https://openalex.org/C2984998066","wikidata":"https://www.wikidata.org/wiki/Q105037988","display_name":"Proper orthogonal decomposition","level":3,"score":0.6493017673492432},{"id":"https://openalex.org/C137776501","wikidata":"https://www.wikidata.org/wiki/Q7208270","display_name":"Point of delivery","level":2,"score":0.6230387091636658},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6178605556488037},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6082075834274292},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5677756071090698},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5500001311302185},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4212407171726227},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36035454273223877},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3480660617351532},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1863711178302765},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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:10.1137/19m1241854","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1241854","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,"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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2184393679","display_name":"Adaptive numerical methods for long-time integration and model reduction with applications in computing effective diffusivity and Anderson localization","funder_award_id":"17300817","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G3939562699","display_name":null,"funder_award_id":"DMS-1211179","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4454691053","display_name":"Efficient methods for exploring low-dimensional structures and solving multiscale stochastic elliptic PDEs and Helmholtz equations in random media","funder_award_id":"17300318","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G5137264589","display_name":"Efficient computational methods for stochastic convection-dominated and multiscale flow problems","funder_award_id":"27300616","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G5479139866","display_name":null,"funder_award_id":"IIS-1632935","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6647141808","display_name":null,"funder_award_id":"11601457","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8390493754","display_name":null,"funder_award_id":"DMS-1522383","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G915872488","display_name":null,"funder_award_id":"JCYJ20180307151603959","funder_id":"https://openalex.org/F4320334983","funder_display_name":"Basic Research Programs of Sichuan Province"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"},{"id":"https://openalex.org/F4320323537","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597"},{"id":"https://openalex.org/F4320334983","display_name":"Basic Research Programs of Sichuan Province","ror":"https://ror.org/027s68j25"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1633869374","https://openalex.org/W1921154424","https://openalex.org/W1969647398","https://openalex.org/W1973136150","https://openalex.org/W1989951672","https://openalex.org/W1990619492","https://openalex.org/W1991113069","https://openalex.org/W1991243721","https://openalex.org/W1992277041","https://openalex.org/W2015130302","https://openalex.org/W2049753327","https://openalex.org/W2055270983","https://openalex.org/W2060242824","https://openalex.org/W2062877399","https://openalex.org/W2066517693","https://openalex.org/W2079578802","https://openalex.org/W2079895693","https://openalex.org/W2081834826","https://openalex.org/W2082052570","https://openalex.org/W2087257783","https://openalex.org/W2088872157","https://openalex.org/W2089159523","https://openalex.org/W2093303153","https://openalex.org/W2112823474","https://openalex.org/W2152896489","https://openalex.org/W2556926541","https://openalex.org/W2582992792","https://openalex.org/W2588542536","https://openalex.org/W2959389853","https://openalex.org/W2991756765","https://openalex.org/W3010292040","https://openalex.org/W3040603298"],"related_works":["https://openalex.org/W4383033865","https://openalex.org/W2122264603","https://openalex.org/W1965231199","https://openalex.org/W2112071792","https://openalex.org/W2126432300","https://openalex.org/W1766934673","https://openalex.org/W2997244757","https://openalex.org/W854600403","https://openalex.org/W2333109051","https://openalex.org/W2354813824"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"30":[17],"January":[18],"2019Accepted:":[19],"13":[20],"November":[21],"2020Published":[22],"online:":[23],"18":[24],"February":[25],"2021Keywordsviscous":[26],"G-equation,":[27],"Hamilton--Jacobi":[28],"type":[29],"equation,":[30],"front":[31],"speed":[32],"computation,":[33],"cellular":[34],"flows,":[35],"proper":[36],"orthogonal":[37],"decomposition":[38],"method,":[39],"POD,":[40],"convergence":[41],"analysisAMS":[42],"Subject":[43],"Headings65M12,":[44],"70H20,":[45],"76F25,":[46],"78M34,":[47],"80A25Publication":[48],"DataISSN":[49],"(print):":[50],"1064-8275ISSN":[51],"(online):":[52],"1095-7197Publisher:":[53],"Society":[54],"for":[55],"Industrial":[56],"and":[57],"Applied":[58],"MathematicsCODEN:":[59],"sjoce3":[60]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}