{"id":"https://openalex.org/W2039546325","doi":"https://doi.org/10.1137/s1064827503417198","title":"On Duality-Based A Posteriori Error Estimation in Various Norms and Linear Functionals for Large Eddy Simulation","display_name":"On Duality-Based A Posteriori Error Estimation in Various Norms and Linear Functionals for Large Eddy Simulation","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2039546325","doi":"https://doi.org/10.1137/s1064827503417198","mag":"2039546325"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827503417198","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827503417198","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/A5046346952","display_name":"Johan Hoffman","orcid":"https://orcid.org/0000-0003-4256-0463"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Johan Hoffman","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5046346952"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.6947,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.96040229,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"26","issue":"1","first_page":"178","last_page":"195"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9997000098228455,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9997000098228455,"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":0.9990000128746033,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8067097663879395},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.7733138799667358},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.753261923789978},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.610609233379364},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5773948431015015},{"id":"https://openalex.org/keywords/large-eddy-simulation","display_name":"Large eddy simulation","score":0.5718796253204346},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5311468839645386},{"id":"https://openalex.org/keywords/discretization-error","display_name":"Discretization error","score":0.4681105315685272},{"id":"https://openalex.org/keywords/method-of-mean-weighted-residuals","display_name":"Method of mean weighted residuals","score":0.41447409987449646},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41341471672058105},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32109880447387695},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.30784469842910767},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2258802056312561},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21299904584884644},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.1096029281616211},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.08640533685684204},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06980296969413757}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8067097663879395},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.7733138799667358},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.753261923789978},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.610609233379364},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5773948431015015},{"id":"https://openalex.org/C121448008","wikidata":"https://www.wikidata.org/wiki/Q1755722","display_name":"Large eddy simulation","level":3,"score":0.5718796253204346},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5311468839645386},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.4681105315685272},{"id":"https://openalex.org/C159674985","wikidata":"https://www.wikidata.org/wiki/Q6823718","display_name":"Method of mean weighted residuals","level":4,"score":0.41447409987449646},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41341471672058105},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32109880447387695},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.30784469842910767},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2258802056312561},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21299904584884644},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.1096029281616211},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.08640533685684204},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06980296969413757},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827503417198","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827503417198","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W134367920","https://openalex.org/W1593553932","https://openalex.org/W1677523145","https://openalex.org/W1977917057","https://openalex.org/W1984141223","https://openalex.org/W1995404822","https://openalex.org/W1998615809","https://openalex.org/W2010886593","https://openalex.org/W2013004558","https://openalex.org/W2020545351","https://openalex.org/W2029166565","https://openalex.org/W2048569955","https://openalex.org/W2061952429","https://openalex.org/W2068893097","https://openalex.org/W2069454819","https://openalex.org/W2069930283","https://openalex.org/W2082656135","https://openalex.org/W2090693357","https://openalex.org/W2092185402","https://openalex.org/W2133147107","https://openalex.org/W2136746407","https://openalex.org/W2146207245","https://openalex.org/W2163878642","https://openalex.org/W4296396780"],"related_works":["https://openalex.org/W3042022377","https://openalex.org/W2394693285","https://openalex.org/W2294059517","https://openalex.org/W2332908959","https://openalex.org/W2470297834","https://openalex.org/W2020718081","https://openalex.org/W2119792553","https://openalex.org/W2183824625","https://openalex.org/W2064416388","https://openalex.org/W4232433165"],"abstract_inverted_index":{"We":[0,64],"derive":[1],"a":[2,12,23,36,40,44,60],"posteriori":[3,24],"error":[4,25],"estimates":[5,26],"for":[6],"the":[7,28,54,66],"filtered":[8],"velocity":[9],"field":[10],"in":[11,16,33,83],"large":[13],"eddy":[14],"simulation":[15],"various":[17],"norms":[18],"and":[19,39,53],"linear":[20],"functionals.":[21],"The":[22,47],"take":[27],"form":[29],"of":[30,35],"an":[31,71],"integral":[32],"space-time":[34],"discretization":[37,48],"residual":[38,42,49,56],"modeling":[41,55],"times":[43],"dual":[45,67,74],"weight.":[46],"is":[50,57],"directly":[51],"computable,":[52],"estimated":[58],"by":[59,69],"scale":[61],"similarity":[62],"model.":[63],"approximate":[65],"weight":[68],"solving":[70],"associated":[72],"linearized":[73],"problem":[75],"numerically.":[76],"Computational":[77],"examples":[78],"from":[79],"transition":[80],"to":[81],"turbulence":[82],"Couette":[84],"flow":[85],"are":[86],"presented.":[87]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
