{"id":"https://openalex.org/W2020904563","doi":"https://doi.org/10.1007/s00211-012-0457-9","title":"Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes","display_name":"Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes","publication_year":2012,"publication_date":"2012-03-16","ids":{"openalex":"https://openalex.org/W2020904563","doi":"https://doi.org/10.1007/s00211-012-0457-9","mag":"2020904563"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-012-0457-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-012-0457-9","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-00523809","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030880733","display_name":"Christophe Buet","orcid":null},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210125654","display_name":"Maison de la Simulation","ror":"https://ror.org/03jv6w209","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I195731000","https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210113668","https://openalex.org/I4210125654","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210101455","display_name":"CEA DAM \u00cele-de-France","ror":"https://ror.org/00kn4eb29","country_code":"FR","type":"government","lineage":["https://openalex.org/I4210101455"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Christophe Buet","raw_affiliation_strings":["CEA, DAM, DIF, 91297, Arpajon Cedex, France","DSSI - D\u00e9partement des Sciences de la Simulation et de l'Information (Bruy\u00e8res-le-Ch\u00e2tel 91297 Arpajon Cedex - France)"],"affiliations":[{"raw_affiliation_string":"CEA, DAM, DIF, 91297, Arpajon Cedex, France","institution_ids":["https://openalex.org/I4210101455","https://openalex.org/I2738703131"]},{"raw_affiliation_string":"DSSI - D\u00e9partement des Sciences de la Simulation et de l'Information (Bruy\u00e8res-le-Ch\u00e2tel 91297 Arpajon Cedex - France)","institution_ids":["https://openalex.org/I4210125654"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113826510","display_name":"Bruno Despr\u00e9s","orcid":null},"institutions":[{"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":"Bruno Despr\u00e9s","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, 75252, Paris Cedex 05, France","LJLL - Laboratoire Jacques-Louis Lions (Universit\u00e9 Pierre et Marie Curie, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)"],"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, 75252, Paris Cedex 05, France","institution_ids":["https://openalex.org/I4210158291"]},{"raw_affiliation_string":"LJLL - Laboratoire Jacques-Louis Lions (Universit\u00e9 Pierre et Marie Curie, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","institution_ids":["https://openalex.org/I4210158291"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113454379","display_name":"Emmanuel Franck","orcid":null},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210101455","display_name":"CEA DAM \u00cele-de-France","ror":"https://ror.org/00kn4eb29","country_code":"FR","type":"government","lineage":["https://openalex.org/I4210101455"]},{"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"]},{"id":"https://openalex.org/I4210125654","display_name":"Maison de la Simulation","ror":"https://ror.org/03jv6w209","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I195731000","https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210113668","https://openalex.org/I4210125654","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Emmanuel Franck","raw_affiliation_strings":["CEA, DAM, DIF, 91297, Arpajon Cedex, France","Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, 75252, Paris Cedex 05, France","DSSI - D\u00e9partement des Sciences de la Simulation et de l'Information (Bruy\u00e8res-le-Ch\u00e2tel 91297 Arpajon Cedex - France)","LJLL - Laboratoire Jacques-Louis Lions (Universit\u00e9 Pierre et Marie Curie, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)"],"affiliations":[{"raw_affiliation_string":"CEA, DAM, DIF, 91297, Arpajon Cedex, France","institution_ids":["https://openalex.org/I4210101455","https://openalex.org/I2738703131"]},{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, 75252, Paris Cedex 05, France","institution_ids":["https://openalex.org/I4210158291"]},{"raw_affiliation_string":"DSSI - D\u00e9partement des Sciences de la Simulation et de l'Information (Bruy\u00e8res-le-Ch\u00e2tel 91297 Arpajon Cedex - France)","institution_ids":["https://openalex.org/I4210125654"]},{"raw_affiliation_string":"LJLL - Laboratoire Jacques-Louis Lions (Universit\u00e9 Pierre et Marie Curie, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","institution_ids":["https://openalex.org/I4210158291"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5030880733"],"corresponding_institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I4210101455","https://openalex.org/I4210125654"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.2142,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.93874414,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"122","issue":"2","first_page":"227","last_page":"278"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9995999932289124,"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":0.9995999932289124,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9930999875068665,"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/polygon-mesh","display_name":"Polygon mesh","score":0.8127237558364868},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.808107852935791},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.745855987071991},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.7269237637519836},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.6225637793540955},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5336511731147766},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.46108999848365784},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4610174894332886},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.44535544514656067},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4255196750164032},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"Asymptotic analysis","score":0.4131702780723572},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39815664291381836},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.30309244990348816},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16361567378044128}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8127237558364868},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.808107852935791},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.745855987071991},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.7269237637519836},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.6225637793540955},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5336511731147766},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.46108999848365784},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4610174894332886},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.44535544514656067},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4255196750164032},{"id":"https://openalex.org/C119047807","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.4131702780723572},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39815664291381836},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.30309244990348816},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16361567378044128},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-012-0457-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-012-0457-9","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-00523809v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00523809","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, 2012, http://www.springer.com/alert/urltracking.do?id=Lbe18b9M9c40acSaff211f. &#x27E8;10.1007/s00211-012-0457-9&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00523809v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00523809","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, 2012, http://www.springer.com/alert/urltracking.do?id=Lbe18b9M9c40acSaff211f. &#x27E8;10.1007/s00211-012-0457-9&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W20023815","https://openalex.org/W120308165","https://openalex.org/W572254471","https://openalex.org/W1507795625","https://openalex.org/W1628883097","https://openalex.org/W1964644491","https://openalex.org/W1976156411","https://openalex.org/W1986769465","https://openalex.org/W2004302354","https://openalex.org/W2010507423","https://openalex.org/W2013637933","https://openalex.org/W2015879195","https://openalex.org/W2024533666","https://openalex.org/W2037816801","https://openalex.org/W2041064369","https://openalex.org/W2055048779","https://openalex.org/W2063215828","https://openalex.org/W2063702850","https://openalex.org/W2068604923","https://openalex.org/W2073378999","https://openalex.org/W2078842791","https://openalex.org/W2081166522","https://openalex.org/W2091443061","https://openalex.org/W2113943832","https://openalex.org/W2126086928","https://openalex.org/W2130630501","https://openalex.org/W3022325816","https://openalex.org/W3142078155","https://openalex.org/W4388311457","https://openalex.org/W6810327282"],"related_works":["https://openalex.org/W3091229350","https://openalex.org/W2969693569","https://openalex.org/W4327941635","https://openalex.org/W2951705799","https://openalex.org/W4290669866","https://openalex.org/W2766573190","https://openalex.org/W1991760136","https://openalex.org/W2089554321","https://openalex.org/W4253091646","https://openalex.org/W1742369028"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":1}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}
