{"id":"https://openalex.org/W3185909059","doi":"https://doi.org/10.1007/s00211-022-01289-w","title":"Long-time behaviour of hybrid finite volume schemes for advection\u2013diffusion equations: linear and nonlinear approaches","display_name":"Long-time behaviour of hybrid finite volume schemes for advection\u2013diffusion equations: linear and nonlinear approaches","publication_year":2022,"publication_date":"2022-06-30","ids":{"openalex":"https://openalex.org/W3185909059","doi":"https://doi.org/10.1007/s00211-022-01289-w","mag":"3185909059"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-022-01289-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-022-01289-w","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2107.09946","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022932808","display_name":"Claire Chainais-Hillairet","orcid":"https://orcid.org/0000-0002-6281-4603"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210145948","display_name":"Laboratoire Paul Painlev\u00e9","ror":"https://ror.org/043n4fm24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4210141950","https://openalex.org/I4210145948"]},{"id":"https://openalex.org/I4210101304","display_name":"Prediction Systems (United States)","ror":"https://ror.org/01abzsb47","country_code":"US","type":"company","lineage":["https://openalex.org/I4210101304"]},{"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"]}],"countries":["FR","US"],"is_corresponding":true,"raw_author_name":"Claire Chainais-Hillairet","raw_affiliation_strings":["Univ. Lille, CNRS, Inria, UMR 8524 - Laboratoire Paul Painlev\u00e9, 59000, Lille, France","Reliable numerical approximations of dissipative systems"],"affiliations":[{"raw_affiliation_string":"Univ. Lille, CNRS, Inria, UMR 8524 - Laboratoire Paul Painlev\u00e9, 59000, Lille, France","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4210145948","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Reliable numerical approximations of dissipative systems","institution_ids":["https://openalex.org/I4210101304"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061326574","display_name":"Maxime Herda","orcid":"https://orcid.org/0000-0002-0590-5779"},"institutions":[{"id":"https://openalex.org/I4210101304","display_name":"Prediction Systems (United States)","ror":"https://ror.org/01abzsb47","country_code":"US","type":"company","lineage":["https://openalex.org/I4210101304"]},{"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/I4210145948","display_name":"Laboratoire Paul Painlev\u00e9","ror":"https://ror.org/043n4fm24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4210141950","https://openalex.org/I4210145948"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Maxime Herda","raw_affiliation_strings":["Inria, Univ. Lille, CNRS, UMR 8524 - Laboratoire Paul Painlev\u00e9, 59000, Lille, France","Reliable numerical approximations of dissipative systems"],"affiliations":[{"raw_affiliation_string":"Inria, Univ. Lille, CNRS, UMR 8524 - Laboratoire Paul Painlev\u00e9, 59000, Lille, France","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4210145948","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Reliable numerical approximations of dissipative systems","institution_ids":["https://openalex.org/I4210101304"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108618187","display_name":"Simon Lemaire","orcid":null},"institutions":[{"id":"https://openalex.org/I4210101304","display_name":"Prediction Systems (United States)","ror":"https://ror.org/01abzsb47","country_code":"US","type":"company","lineage":["https://openalex.org/I4210101304"]},{"id":"https://openalex.org/I4210145948","display_name":"Laboratoire Paul Painlev\u00e9","ror":"https://ror.org/043n4fm24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4210141950","https://openalex.org/I4210145948"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"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"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Simon Lemaire","raw_affiliation_strings":["Inria, Univ. Lille, CNRS, UMR 8524 - Laboratoire Paul Painlev\u00e9, 59000, Lille, France","Reliable numerical approximations of dissipative systems"],"affiliations":[{"raw_affiliation_string":"Inria, Univ. Lille, CNRS, UMR 8524 - Laboratoire Paul Painlev\u00e9, 59000, Lille, France","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4210145948","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Reliable numerical approximations of dissipative systems","institution_ids":["https://openalex.org/I4210101304"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060316418","display_name":"Julien Moatti","orcid":"https://orcid.org/0000-0002-0271-4571"},"institutions":[{"id":"https://openalex.org/I4210101304","display_name":"Prediction Systems (United States)","ror":"https://ror.org/01abzsb47","country_code":"US","type":"company","lineage":["https://openalex.org/I4210101304"]},{"id":"https://openalex.org/I4210145948","display_name":"Laboratoire Paul Painlev\u00e9","ror":"https://ror.org/043n4fm24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4210141950","https://openalex.org/I4210145948"]},{"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/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Julien Moatti","raw_affiliation_strings":["Inria, Univ. Lille, CNRS, UMR 8524 - Laboratoire Paul Painlev\u00e9, 59000, Lille, France","Reliable numerical approximations of dissipative systems"],"affiliations":[{"raw_affiliation_string":"Inria, Univ. Lille, CNRS, UMR 8524 - Laboratoire Paul Painlev\u00e9, 59000, Lille, France","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4210145948","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Reliable numerical approximations of dissipative systems","institution_ids":["https://openalex.org/I4210101304"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5022932808"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2279609970","https://openalex.org/I4210101304","https://openalex.org/I4210145948"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.8196,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.8155814,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"151","issue":"4","first_page":"963","last_page":"1016"},"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":0.9987999796867371,"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":0.9987999796867371,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9987000226974487,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7615450620651245},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7054710388183594},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.6996248960494995},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6845400333404541},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.6702249646186829},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.579748272895813},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5437787771224976},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5387495756149292},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.49120205640792847},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38447195291519165},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.137414813041687},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.09560906887054443},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05465516448020935}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7615450620651245},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7054710388183594},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.6996248960494995},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6845400333404541},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.6702249646186829},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.579748272895813},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5437787771224976},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5387495756149292},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.49120205640792847},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38447195291519165},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.137414813041687},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.09560906887054443},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05465516448020935},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00211-022-01289-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-022-01289-w","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:arXiv.org:2107.09946","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2107.09946","pdf_url":"https://arxiv.org/pdf/2107.09946","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-03281500v2","is_oa":true,"landing_page_url":"https://hal.science/hal-03281500","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":"Numerische Mathematik, 2022, 151 (4), pp.963-1016. ⟨10.1007/s00211-022-01289-w⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2107.09946","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2107.09946","pdf_url":"https://arxiv.org/pdf/2107.09946","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W228238602","https://openalex.org/W1480437584","https://openalex.org/W1538604002","https://openalex.org/W1815242033","https://openalex.org/W1834131917","https://openalex.org/W1849648059","https://openalex.org/W1855169650","https://openalex.org/W1964272822","https://openalex.org/W1976284739","https://openalex.org/W1976962292","https://openalex.org/W1979875310","https://openalex.org/W1982576260","https://openalex.org/W2006369296","https://openalex.org/W2010507423","https://openalex.org/W2010507695","https://openalex.org/W2019680761","https://openalex.org/W2023556360","https://openalex.org/W2033041293","https://openalex.org/W2055283535","https://openalex.org/W2063502523","https://openalex.org/W2065725998","https://openalex.org/W2081622703","https://openalex.org/W2082759031","https://openalex.org/W2094680114","https://openalex.org/W2114711527","https://openalex.org/W2126086928","https://openalex.org/W2137485331","https://openalex.org/W2156701719","https://openalex.org/W2165189906","https://openalex.org/W2401296287","https://openalex.org/W2414732648","https://openalex.org/W2485912565","https://openalex.org/W2566555010","https://openalex.org/W2610542513","https://openalex.org/W2753354202","https://openalex.org/W2885405756","https://openalex.org/W2909166072","https://openalex.org/W2950778559","https://openalex.org/W2964339352","https://openalex.org/W2986337940","https://openalex.org/W2990776771","https://openalex.org/W2995121389","https://openalex.org/W3012798775","https://openalex.org/W3020991820","https://openalex.org/W3022384661","https://openalex.org/W3086618271","https://openalex.org/W3099096334","https://openalex.org/W3101604734","https://openalex.org/W3130260798","https://openalex.org/W4205793979","https://openalex.org/W4230373105","https://openalex.org/W4231065862"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2087496541","https://openalex.org/W2028455732","https://openalex.org/W4313703117","https://openalex.org/W2085564391","https://openalex.org/W1984758362","https://openalex.org/W2042049060","https://openalex.org/W2034255721","https://openalex.org/W2032446390"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}