{"id":"https://openalex.org/W2087252463","doi":"https://doi.org/10.1137/080718978","title":"Convergence Analysis for Incompressible Generalized Newtonian Fluid Flows with Nonstandard Anisotropic Growth Conditions","display_name":"Convergence Analysis for Incompressible Generalized Newtonian Fluid Flows with Nonstandard Anisotropic Growth Conditions","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2087252463","doi":"https://doi.org/10.1137/080718978","mag":"2087252463"},"language":"en","primary_location":{"id":"doi:10.1137/080718978","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080718978","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/A5072821586","display_name":"Erich Carelli","orcid":null},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Erich Carelli","raw_affiliation_strings":["carelli@na.uni-tuebingen.de and haehnle@na.uni-tuebingen.de and prohl@na.uni-tuebingen.de#TAB#"],"affiliations":[{"raw_affiliation_string":"carelli@na.uni-tuebingen.de and haehnle@na.uni-tuebingen.de and prohl@na.uni-tuebingen.de#TAB#","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023539543","display_name":"Jonas Haehnle","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jonas Haehnle","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5046668672","display_name":"Andreas Prohl","orcid":"https://orcid.org/0000-0003-4523-9536"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andreas Prohl","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072821586"],"corresponding_institution_ids":["https://openalex.org/I8087733"],"apc_list":null,"apc_paid":null,"fwci":0.2677,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.51901177,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"48","issue":"1","first_page":"164","last_page":"190"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.9916999936103821,"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":0.8401459455490112},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6773512363433838},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6624623537063599},{"id":"https://openalex.org/keywords/non-newtonian-fluid","display_name":"Non-Newtonian fluid","score":0.627609372138977},{"id":"https://openalex.org/keywords/newtonian-fluid","display_name":"Newtonian fluid","score":0.6189075112342834},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5834353566169739},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5293458104133606},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.5285861492156982},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5105034112930298},{"id":"https://openalex.org/keywords/generalized-newtonian-fluid","display_name":"Generalized Newtonian fluid","score":0.5051892399787903},{"id":"https://openalex.org/keywords/incompressible-flow","display_name":"Incompressible flow","score":0.47780829668045044},{"id":"https://openalex.org/keywords/cauchy-stress-tensor","display_name":"Cauchy stress tensor","score":0.4718073904514313},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.4623035490512848},{"id":"https://openalex.org/keywords/pressure-correction-method","display_name":"Pressure-correction method","score":0.4383007884025574},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.42773354053497314},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4181450605392456},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3949922025203705},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.19500762224197388},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18274039030075073},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.13797569274902344},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09317868947982788}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8401459455490112},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6773512363433838},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6624623537063599},{"id":"https://openalex.org/C84403224","wikidata":"https://www.wikidata.org/wiki/Q860589","display_name":"Non-Newtonian fluid","level":2,"score":0.627609372138977},{"id":"https://openalex.org/C294558","wikidata":"https://www.wikidata.org/wiki/Q366968","display_name":"Newtonian fluid","level":2,"score":0.6189075112342834},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5834353566169739},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5293458104133606},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.5285861492156982},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5105034112930298},{"id":"https://openalex.org/C51336717","wikidata":"https://www.wikidata.org/wiki/Q5532445","display_name":"Generalized Newtonian fluid","level":4,"score":0.5051892399787903},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.47780829668045044},{"id":"https://openalex.org/C171338203","wikidata":"https://www.wikidata.org/wiki/Q13409892","display_name":"Cauchy stress tensor","level":2,"score":0.4718073904514313},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.4623035490512848},{"id":"https://openalex.org/C21018558","wikidata":"https://www.wikidata.org/wiki/Q7241680","display_name":"Pressure-correction method","level":3,"score":0.4383007884025574},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.42773354053497314},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4181450605392456},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3949922025203705},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.19500762224197388},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18274039030075073},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.13797569274902344},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09317868947982788},{"id":"https://openalex.org/C165682214","wikidata":"https://www.wikidata.org/wiki/Q461293","display_name":"Shear rate","level":3,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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":1,"locations":[{"id":"doi:10.1137/080718978","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080718978","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323471","display_name":"Universit\u00e9 de Fribourg","ror":"https://ror.org/022fs9h90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W140733660","https://openalex.org/W350573536","https://openalex.org/W1489222793","https://openalex.org/W1570440531","https://openalex.org/W1601998939","https://openalex.org/W1970111303","https://openalex.org/W1971251312","https://openalex.org/W1986608219","https://openalex.org/W2006471411","https://openalex.org/W2009484097","https://openalex.org/W2009802721","https://openalex.org/W2024188704","https://openalex.org/W2026990672","https://openalex.org/W2034447457","https://openalex.org/W2060915393","https://openalex.org/W2072741826","https://openalex.org/W2073895011","https://openalex.org/W2076582418","https://openalex.org/W2130548868","https://openalex.org/W2324799522","https://openalex.org/W2736322539","https://openalex.org/W2798817241","https://openalex.org/W3091814460","https://openalex.org/W4240373768"],"related_works":["https://openalex.org/W2726057547","https://openalex.org/W2885437529","https://openalex.org/W1500878582","https://openalex.org/W2746494408","https://openalex.org/W4249639836","https://openalex.org/W2091497446","https://openalex.org/W4388321978","https://openalex.org/W577908278","https://openalex.org/W134010077","https://openalex.org/W180998714"],"abstract_inverted_index":{"We":[0],"study":[1],"equations":[2],"to":[3],"describe":[4],"incompressible":[5],"generalized":[6],"Newtonian":[7],"fluids,":[8],"where":[9],"the":[10,45],"extra":[11],"stress":[12],"tensor":[13],"satisfies":[14],"a":[15,27],"nonstandard":[16],"anisotropic":[17],"asymptotic":[18],"growth":[19],"condition.":[20],"An":[21],"implicit":[22],"finite":[23],"element":[24],"discretization":[25],"and":[26,39],"simple,":[28],"fully":[29],"practical":[30],"fixed-point":[31],"scheme":[32],"with":[33],"proper":[34],"thresholding":[35],"criterion":[36],"are":[37,52],"proposed,":[38],"convergence":[40],"toward":[41],"weak":[42],"solutions":[43],"of":[44],"limiting":[46],"problem":[47],"is":[48],"shown.":[49],"Computational":[50],"experiments":[51],"included,":[53],"which":[54],"motivate":[55],"nontrivial":[56],"fluid":[57],"flow":[58],"behavior.":[59]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
