{"id":"https://openalex.org/W1978337303","doi":"https://doi.org/10.1007/s00211-006-0053-y","title":"Error estimate for finite volume scheme","display_name":"Error estimate for finite volume scheme","publication_year":2006,"publication_date":"2006-12-19","ids":{"openalex":"https://openalex.org/W1978337303","doi":"https://doi.org/10.1007/s00211-006-0053-y","mag":"1978337303"},"language":"de","primary_location":{"id":"doi:10.1007/s00211-006-0053-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-006-0053-y","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://hal.science/hal-00008660","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009623418","display_name":"Beno\u00eet Merlet","orcid":null},"institutions":[{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]},{"id":"https://openalex.org/I4210102686","display_name":"Laboratoire Analyse, G\u00e9om\u00e9trie et Applications","ror":"https://ror.org/018nzqy79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210102686","https://openalex.org/I4210141950","https://openalex.org/I48825208"]},{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Beno\u00eet Merlet","raw_affiliation_strings":["Antenne de Bretagne, ENS cachan, Avenue Robert Schuman, Bruz, France","LAGA, Universit\u00e9 Paris-Nord, Avenue J.B. Cl\u00e9ment, Villetaneuse, France","RAPSODI  - Reliable numerical approximations of dissipative systems (France)","LAGA - Laboratoire Analyse, G\u00e9om\u00e9trie et Applications (Institut Galil\u00e9e, Universit\u00e9 Paris 13, 99 avenue Jean-Baptiste Cl\u00e9ment, F-93430, Villetaneuse, France - France)"],"affiliations":[{"raw_affiliation_string":"Antenne de Bretagne, ENS cachan, Avenue Robert Schuman, Bruz, France","institution_ids":["https://openalex.org/I11559806"]},{"raw_affiliation_string":"LAGA, Universit\u00e9 Paris-Nord, Avenue J.B. Cl\u00e9ment, Villetaneuse, France","institution_ids":["https://openalex.org/I4210102686"]},{"raw_affiliation_string":"RAPSODI  - Reliable numerical approximations of dissipative systems (France)","institution_ids":[]},{"raw_affiliation_string":"LAGA - Laboratoire Analyse, G\u00e9om\u00e9trie et Applications (Institut Galil\u00e9e, Universit\u00e9 Paris 13, 99 avenue Jean-Baptiste Cl\u00e9ment, F-93430, Villetaneuse, France - France)","institution_ids":["https://openalex.org/I4210102686","https://openalex.org/I4210091279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080921705","display_name":"Julien Vovelle","orcid":"https://orcid.org/0000-0002-0795-3440"},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210160577","display_name":"Unit\u00e9 de Math\u00e9matiques Pures et Appliqu\u00e9es","ror":"https://ror.org/05n21n105","country_code":"FR","type":"facility","lineage":["https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210160577"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Julien Vovelle","raw_affiliation_strings":["Antenne de Bretagne, ENS cachan, Avenue Robert Schuman, Bruz, France","UMPA-ENSL - Unit\u00e9 de Math\u00e9matiques Pures et Appliqu\u00e9es (France)"],"affiliations":[{"raw_affiliation_string":"Antenne de Bretagne, ENS cachan, Avenue Robert Schuman, Bruz, France","institution_ids":["https://openalex.org/I11559806"]},{"raw_affiliation_string":"UMPA-ENSL - Unit\u00e9 de Math\u00e9matiques Pures et Appliqu\u00e9es (France)","institution_ids":["https://openalex.org/I4210160577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009623418"],"corresponding_institution_ids":["https://openalex.org/I11559806","https://openalex.org/I4210091279","https://openalex.org/I4210102686"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.8481,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.72877112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"106","issue":"1","first_page":"129","last_page":"155"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9991000294685364,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9991000294685364,"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":0.9975000023841858,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.995199978351593,"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":0.8778687715530396},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.7655197381973267},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.6459779143333435},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6253480911254883},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5553518533706665},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.5369299650192261},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5089049339294434},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5036744475364685},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.49369892477989197},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.4585120677947998},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4373517632484436},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.06040528416633606}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8778687715530396},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.7655197381973267},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.6459779143333435},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6253480911254883},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5553518533706665},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.5369299650192261},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5089049339294434},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5036744475364685},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.49369892477989197},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.4585120677947998},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4373517632484436},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.06040528416633606},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00211-006-0053-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-006-0053-y","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-00008660v3","is_oa":true,"landing_page_url":"https://hal.science/hal-00008660","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, 2007, 106 (1), pp.129-155. ⟨10.1007/s00211-006-0053-y⟩","raw_type":"Journal articles"},{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/123062","is_oa":true,"landing_page_url":null,"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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00008660v3","is_oa":true,"landing_page_url":"https://hal.science/hal-00008660","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, 2007, 106 (1), pp.129-155. ⟨10.1007/s00211-006-0053-y⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1522020530","https://openalex.org/W1549748890","https://openalex.org/W1982083732","https://openalex.org/W1988946272","https://openalex.org/W1989067183","https://openalex.org/W1991639740","https://openalex.org/W2003438645","https://openalex.org/W2003705956","https://openalex.org/W2008077484","https://openalex.org/W2012238443","https://openalex.org/W2013770958","https://openalex.org/W2034939914","https://openalex.org/W2048581574","https://openalex.org/W2074319183","https://openalex.org/W2080697504","https://openalex.org/W2093115163","https://openalex.org/W2286355715","https://openalex.org/W2616749188","https://openalex.org/W4245820193","https://openalex.org/W4247342202"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W2911623553","https://openalex.org/W4297791327","https://openalex.org/W2897842840","https://openalex.org/W2397777611","https://openalex.org/W1502031429","https://openalex.org/W2417585376","https://openalex.org/W1994157709","https://openalex.org/W3036101264","https://openalex.org/W2163151373"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}