{"id":"https://openalex.org/W2579090162","doi":"https://doi.org/10.1007/s00211-017-0925-3","title":"Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem","display_name":"Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem","publication_year":2017,"publication_date":"2017-11-29","ids":{"openalex":"https://openalex.org/W2579090162","doi":"https://doi.org/10.1007/s00211-017-0925-3","mag":"2579090162"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-017-0925-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-017-0925-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-01097662v4/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085647935","display_name":"Martin \u010cerm\u00e1k","orcid":"https://orcid.org/0000-0002-0171-625X"},"institutions":[{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Martin \u010cerm\u00e1k","raw_affiliation_strings":["IT4Innovations National Supercomputing Center (IT4I), VSB - Technical University of Ostrava, 17. listopadu 15/2172, 70833, Poruba, Ostrava, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IT4Innovations National Supercomputing Center (IT4I), VSB - Technical University of Ostrava, 17. listopadu 15/2172, 70833, Poruba, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108196116","display_name":"Fr\u00e9d\u00e9ric Hecht","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I197681013","display_name":"Universit\u00e9 Paris-Est Cr\u00e9teil","ror":"https://ror.org/05ggc9x40","country_code":"FR","type":"education","lineage":["https://openalex.org/I197681013"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric Hecht","raw_affiliation_strings":["INRIA Paris, 2 rue Simone Iff, 75589, Paris 12, France","Laboratoire Jacques-Louis Lions, UMR 7598, CNRS, 75005, Paris, France","Laboratoire Jacques-Louis Lions, UMR 7598, UPMC Univ Paris 06, 75005, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Paris, 2 rue Simone Iff, 75589, Paris 12, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I197681013"]},{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, UMR 7598, CNRS, 75005, Paris, France","institution_ids":["https://openalex.org/I4210158291","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, UMR 7598, UPMC Univ Paris 06, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078689120","display_name":"Zuqi Tang","orcid":"https://orcid.org/0000-0002-5402-5858"},"institutions":[{"id":"https://openalex.org/I190752583","display_name":"ParisTech","ror":"https://ror.org/05c2qg481","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583"]},{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I4210102085","display_name":"Laboratoire d'\u00c9lectrotechnique et d'\u00c9lectronique de Puissance de Lille","ror":"https://ror.org/0186z1m53","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I190861549","https://openalex.org/I2279609970","https://openalex.org/I3132096951","https://openalex.org/I4210102085","https://openalex.org/I4210134562","https://openalex.org/I7454413"]},{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Zuqi Tang","raw_affiliation_strings":["Univ. Lille, Centrale Lille, Arts et M\u00e9tiers Paris Tech, HEI, EA 2697 - L2EP - Laboratoire d\u2019Electrotechnique et d\u2019Electronique de Puissance, F-59000, Lille, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Lille, Centrale Lille, Arts et M\u00e9tiers Paris Tech, HEI, EA 2697 - L2EP - Laboratoire d\u2019Electrotechnique et d\u2019Electronique de Puissance, F-59000, Lille, France","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4210102085","https://openalex.org/I7454413","https://openalex.org/I190752583"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020083948","display_name":"Martin Vohral\u0131\u0301k","orcid":"https://orcid.org/0000-0002-8838-7689"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I197681013","display_name":"Universit\u00e9 Paris-Est Cr\u00e9teil","ror":"https://ror.org/05ggc9x40","country_code":"FR","type":"education","lineage":["https://openalex.org/I197681013"]},{"id":"https://openalex.org/I4210115903","display_name":"Laboratoire Navier","ror":"https://ror.org/029hkd614","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210095849","https://openalex.org/I4210115903","https://openalex.org/I4210145102","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Martin Vohral\u00edk","raw_affiliation_strings":["INRIA Paris, 2 rue Simone Iff, 75589, Paris 12, France","Universit\u00e9 Paris-Est, CERMICS (ENPC), 77455, Marne-la-Vall\u00e9e 2, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Paris, 2 rue Simone Iff, 75589, Paris 12, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I197681013"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Est, CERMICS (ENPC), 77455, Marne-la-Vall\u00e9e 2, France","institution_ids":["https://openalex.org/I4210128309","https://openalex.org/I4210115903","https://openalex.org/I142631665"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5078689120"],"corresponding_institution_ids":["https://openalex.org/I190752583","https://openalex.org/I2279609970","https://openalex.org/I4210102085","https://openalex.org/I7454413"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9878,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.72343026,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"138","issue":"4","first_page":"1027","last_page":"1065"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.996399998664856,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.986299991607666,"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/solver","display_name":"Solver","score":0.7595566511154175},{"id":"https://openalex.org/keywords/degree-of-a-polynomial","display_name":"Degree of a polynomial","score":0.7493581175804138},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6136316061019897},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5641540288925171},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.561359703540802},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5592482089996338},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5586863160133362},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5433838963508606},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5051544308662415},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42022383213043213},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.41508615016937256},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3404772877693176},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0598166286945343}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7595566511154175},{"id":"https://openalex.org/C25878781","wikidata":"https://www.wikidata.org/wiki/Q1473607","display_name":"Degree of a polynomial","level":3,"score":0.7493581175804138},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6136316061019897},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5641540288925171},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.561359703540802},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5592482089996338},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5586863160133362},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5433838963508606},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5051544308662415},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42022383213043213},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.41508615016937256},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3404772877693176},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0598166286945343},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00211-017-0925-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-017-0925-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01097662v4","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01097662","pdf_url":"https://inria.hal.science/hal-01097662v4/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://link.springer.com/article/10.1007%2Fs00211-017-0925-3","raw_type":"Journal articles"},{"id":"pmh:oai:HAL:hal-01097662v3","is_oa":true,"landing_page_url":"https://hal.inria.fr/hal-01097662","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"\\nISSN: \\n0029-599X","raw_type":"\\ninfo:eu-repo/semantics/article\\n"},{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/20707","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/20707","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'Etudes en Civilisations, Langues et Litt\u00e9ratures Etrang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"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"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01097662v4","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01097662","pdf_url":"https://inria.hal.science/hal-01097662v4/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://link.springer.com/article/10.1007%2Fs00211-017-0925-3","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324050","display_name":"Ostravsk\u00e1 Univerzita v Ostrav\u011b","ror":"https://ror.org/00pyqav47"},{"id":"https://openalex.org/F4320337144","display_name":"National Supercomputing Center, Korea Institute of Science and Technology Information","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2579090162.pdf","grobid_xml":"https://content.openalex.org/works/W2579090162.grobid-xml"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W145228056","https://openalex.org/W592911714","https://openalex.org/W624819622","https://openalex.org/W1634938045","https://openalex.org/W1674659126","https://openalex.org/W1778185943","https://openalex.org/W1967011851","https://openalex.org/W1967638198","https://openalex.org/W1968373589","https://openalex.org/W1971723424","https://openalex.org/W1973317191","https://openalex.org/W1973545521","https://openalex.org/W1980659254","https://openalex.org/W1980917319","https://openalex.org/W1985340647","https://openalex.org/W1986608219","https://openalex.org/W1997038203","https://openalex.org/W1998344275","https://openalex.org/W1999807552","https://openalex.org/W2004291775","https://openalex.org/W2007289139","https://openalex.org/W2011247691","https://openalex.org/W2013485643","https://openalex.org/W2018850201","https://openalex.org/W2021587088","https://openalex.org/W2024034341","https://openalex.org/W2034150466","https://openalex.org/W2039259138","https://openalex.org/W2041917536","https://openalex.org/W2043882304","https://openalex.org/W2045382809","https://openalex.org/W2049914863","https://openalex.org/W2051889472","https://openalex.org/W2056253747","https://openalex.org/W2056399160","https://openalex.org/W2065586219","https://openalex.org/W2067392615","https://openalex.org/W2070236116","https://openalex.org/W2073758189","https://openalex.org/W2074099018","https://openalex.org/W2077186677","https://openalex.org/W2079227383","https://openalex.org/W2082187902","https://openalex.org/W2083027300","https://openalex.org/W2088865651","https://openalex.org/W2089560622","https://openalex.org/W2094400909","https://openalex.org/W2133248904","https://openalex.org/W2154523804","https://openalex.org/W2167521757","https://openalex.org/W2314767559","https://openalex.org/W2381246980","https://openalex.org/W2519971170","https://openalex.org/W2963610501","https://openalex.org/W2996909697","https://openalex.org/W4231405723","https://openalex.org/W4252104256","https://openalex.org/W4292079189"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2008425651","https://openalex.org/W2566764723","https://openalex.org/W1572069104"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}