{"id":"https://openalex.org/W1815242033","doi":"https://doi.org/10.1007/s10208-016-9328-6","title":"Numerical Analysis of a Robust Free Energy Diminishing Finite Volume Scheme for Parabolic Equations with Gradient Structure","display_name":"Numerical Analysis of a Robust Free Energy Diminishing Finite Volume Scheme for Parabolic Equations with Gradient Structure","publication_year":2016,"publication_date":"2016-08-25","ids":{"openalex":"https://openalex.org/W1815242033","doi":"https://doi.org/10.1007/s10208-016-9328-6","mag":"1815242033"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-016-9328-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-016-9328-6","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1503.05649","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035995124","display_name":"Cl\u00e9ment Canc\u00e8s","orcid":"https://orcid.org/0000-0002-7682-1695"},"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/I4210138412","display_name":"Centre de recherche Inria Lille - Nord Europe","ror":"https://ror.org/04eej9726","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210138412"]}],"countries":["FR","US"],"is_corresponding":true,"raw_author_name":"Cl\u00e9ment Canc\u00e8s","raw_affiliation_strings":["Team RAPSODI, Inria Lille - Nord Europe, 40 av. Halley, 59650, Villeneuve d\u2019Ascq, France","Reliable numerical approximations of dissipative systems"],"affiliations":[{"raw_affiliation_string":"Team RAPSODI, Inria Lille - Nord Europe, 40 av. Halley, 59650, Villeneuve d\u2019Ascq, France","institution_ids":["https://openalex.org/I4210138412"]},{"raw_affiliation_string":"Reliable numerical approximations of dissipative systems","institution_ids":["https://openalex.org/I4210101304"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024667176","display_name":"Cindy Guichard","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"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/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/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Cindy Guichard","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, \u00c9quipe ANGE, CNRS, INRIA, CEREMA, UMR 7598, Sorbonne Universit\u00e9s, UPMC Univ. Paris 06, 4, place Jussieu, 75005, Paris, France","Laboratoire Jacques-Louis Lions","Numerical Analysis, Geophysics and Ecology"],"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, \u00c9quipe ANGE, CNRS, INRIA, CEREMA, UMR 7598, Sorbonne Universit\u00e9s, UPMC Univ. Paris 06, 4, place Jussieu, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291","https://openalex.org/I1294671590","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions","institution_ids":["https://openalex.org/I4210158291"]},{"raw_affiliation_string":"Numerical Analysis, Geophysics and Ecology","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035995124"],"corresponding_institution_ids":["https://openalex.org/I4210101304","https://openalex.org/I4210138412"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.9368,"has_fulltext":false,"cited_by_count":55,"citation_normalized_percentile":{"value":0.94871106,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"17","issue":"6","first_page":"1525","last_page":"1584"},"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":0.6155999898910522,"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":0.6155999898910522,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.06499999761581421,"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/T11087","display_name":"Solidification and crystal growth phenomena","score":0.04050000011920929,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.7280447483062744},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5936021208763123},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.5437714457511902},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5192489624023438},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.4770599901676178},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.46270373463630676},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44978368282318115},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44073817133903503},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3978102505207062},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2640395164489746},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.17641028761863708},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08884939551353455},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.050954967737197876}],"concepts":[{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.7280447483062744},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5936021208763123},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.5437714457511902},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5192489624023438},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.4770599901676178},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.46270373463630676},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44978368282318115},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44073817133903503},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3978102505207062},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2640395164489746},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.17641028761863708},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08884939551353455},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.050954967737197876}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10208-016-9328-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-016-9328-6","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1503.05649","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1503.05649","pdf_url":"https://arxiv.org/pdf/1503.05649","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":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01119735v4","is_oa":true,"landing_page_url":"https://hal.science/hal-01119735","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":"Foundations of Computational Mathematics, 2017, 17 (6), pp.1525-1584. &#x27E8;10.1007/s10208-016-9328-6&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1503.05649","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1503.05649","pdf_url":"https://arxiv.org/pdf/1503.05649","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":"","raw_type":"text"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8799999952316284,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":100,"referenced_works":["https://openalex.org/W163413519","https://openalex.org/W202498857","https://openalex.org/W205397498","https://openalex.org/W266420308","https://openalex.org/W268635691","https://openalex.org/W1487095586","https://openalex.org/W1522579744","https://openalex.org/W1534009933","https://openalex.org/W1538604002","https://openalex.org/W1544168072","https://openalex.org/W1549748890","https://openalex.org/W1555627060","https://openalex.org/W1555674425","https://openalex.org/W1601728065","https://openalex.org/W1679234839","https://openalex.org/W1757324672","https://openalex.org/W1775417333","https://openalex.org/W1821352674","https://openalex.org/W1889114201","https://openalex.org/W1929982222","https://openalex.org/W1967439567","https://openalex.org/W1970795706","https://openalex.org/W1970948210","https://openalex.org/W1978875564","https://openalex.org/W1985506636","https://openalex.org/W1985608675","https://openalex.org/W1987185675","https://openalex.org/W1988420805","https://openalex.org/W1993686166","https://openalex.org/W1998824578","https://openalex.org/W2000318041","https://openalex.org/W2000942284","https://openalex.org/W2004302354","https://openalex.org/W2005436751","https://openalex.org/W2006593990","https://openalex.org/W2007905538","https://openalex.org/W2008683313","https://openalex.org/W2009812535","https://openalex.org/W2012775467","https://openalex.org/W2012797268","https://openalex.org/W2013395669","https://openalex.org/W2021117151","https://openalex.org/W2023111075","https://openalex.org/W2026015148","https://openalex.org/W2036996178","https://openalex.org/W2038076122","https://openalex.org/W2039770548","https://openalex.org/W2040415781","https://openalex.org/W2045175626","https://openalex.org/W2045971645","https://openalex.org/W2052816628","https://openalex.org/W2054723044","https://openalex.org/W2057721773","https://openalex.org/W2062361050","https://openalex.org/W2064389898","https://openalex.org/W2071048859","https://openalex.org/W2071066275","https://openalex.org/W2071182764","https://openalex.org/W2073057481","https://openalex.org/W2073078790","https://openalex.org/W2073561678","https://openalex.org/W2074350855","https://openalex.org/W2076939787","https://openalex.org/W2078532836","https://openalex.org/W2078913341","https://openalex.org/W2080324111","https://openalex.org/W2082702230","https://openalex.org/W2086007659","https://openalex.org/W2086011386","https://openalex.org/W2098365704","https://openalex.org/W2119761103","https://openalex.org/W2131837567","https://openalex.org/W2135617799","https://openalex.org/W2146469851","https://openalex.org/W2150207569","https://openalex.org/W2154745957","https://openalex.org/W2164540276","https://openalex.org/W2186831368","https://openalex.org/W2223977829","https://openalex.org/W2237567459","https://openalex.org/W2238615065","https://openalex.org/W2325629636","https://openalex.org/W2475111691","https://openalex.org/W2490346189","https://openalex.org/W2613605212","https://openalex.org/W2715748032","https://openalex.org/W2949801423","https://openalex.org/W2951219080","https://openalex.org/W2963888802","https://openalex.org/W2964209891","https://openalex.org/W3020991820","https://openalex.org/W3098029035","https://openalex.org/W3099223760","https://openalex.org/W3101601483","https://openalex.org/W3101978293","https://openalex.org/W4229629237","https://openalex.org/W4235431674","https://openalex.org/W4288268095","https://openalex.org/W6690136511","https://openalex.org/W6740391017"],"related_works":["https://openalex.org/W2798121181","https://openalex.org/W4239607854","https://openalex.org/W2016805743","https://openalex.org/W4242592912","https://openalex.org/W435830328","https://openalex.org/W2087240539","https://openalex.org/W2087896742","https://openalex.org/W4236520801","https://openalex.org/W2328676785","https://openalex.org/W2105887828"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":8},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2016-06-24T00:00:00"}
