{"id":"https://openalex.org/W2063862842","doi":"https://doi.org/10.1137/080732183","title":"A Finite Volume Scheme for Diffusion Problems on General Meshes Applying Monotony Constraints","display_name":"A Finite Volume Scheme for Diffusion Problems on General Meshes Applying Monotony Constraints","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2063862842","doi":"https://doi.org/10.1137/080732183","mag":"2063862842"},"language":"en","primary_location":{"id":"doi:10.1137/080732183","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080732183","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00691261","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054981703","display_name":"Oph\u00e9lie Angelini","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"O. Angelini","raw_affiliation_strings":["ophelie-externe.angelini@edf.fr#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ophelie-externe.angelini@edf.fr#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045851909","display_name":"Cl\u00e9ment Chavant","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C. Chavant","raw_affiliation_strings":["clement.chavant@edf.fr#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"clement.chavant@edf.fr#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072415719","display_name":"\u00c9ric Ch\u00e9nier","orcid":"https://orcid.org/0000-0003-4751-0457"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"E. Ch\u00e9nier","raw_affiliation_strings":["eric.chenier@univ-mlv.fr and robert.eymard@univ-mlv.fr#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"eric.chenier@univ-mlv.fr and robert.eymard@univ-mlv.fr#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057528055","display_name":"Robert Eymard","orcid":"https://orcid.org/0000-0002-6035-0104"},"institutions":[{"id":"https://openalex.org/I4210160945","display_name":"Laboratoire Mod\u00e9lisation et Simulation Multi-Echelle","ror":"https://ror.org/04rrzfd14","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210095849","https://openalex.org/I4210154111","https://openalex.org/I4210160945"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"R. Eymard","raw_affiliation_strings":["Laboratoire de Mod\u00e9lisation et Simulation Multi Echelle"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Mod\u00e9lisation et Simulation Multi Echelle","institution_ids":["https://openalex.org/I4210160945"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0105,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.86645609,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"47","issue":"6","first_page":"4193","last_page":"4213"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9975000023841858,"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/T10514","display_name":"Numerical methods in engineering","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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":0.7509348392486572},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7261399030685425},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6288624405860901},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.619371235370636},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5998040437698364},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.5840948820114136},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.5359562039375305},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.51756352186203},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5155642032623291},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5115002393722534},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49856019020080566},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4437675476074219},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2113669216632843},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16473904252052307},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09566512703895569}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7509348392486572},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7261399030685425},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6288624405860901},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.619371235370636},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5998040437698364},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.5840948820114136},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.5359562039375305},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.51756352186203},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5155642032623291},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5115002393722534},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49856019020080566},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4437675476074219},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2113669216632843},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16473904252052307},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09566512703895569},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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":2,"locations":[{"id":"doi:10.1137/080732183","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080732183","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00691261v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00691261","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":"SIAM Journal on Numerical Analysis, 2010, 47 (6), pp.4193-4213. &#x27E8;10.1137/080732183&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00691261v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00691261","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":"SIAM Journal on Numerical Analysis, 2010, 47 (6), pp.4193-4213. &#x27E8;10.1137/080732183&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1968754888","https://openalex.org/W1979431749","https://openalex.org/W1987185675","https://openalex.org/W1995848272","https://openalex.org/W2010507423","https://openalex.org/W2052046272","https://openalex.org/W2071066275","https://openalex.org/W2074387770","https://openalex.org/W2076939787","https://openalex.org/W2077780992","https://openalex.org/W2081166522","https://openalex.org/W2097964994","https://openalex.org/W2107487126","https://openalex.org/W2152734519","https://openalex.org/W3020991820"],"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":{"In":[0],"order":[1],"to":[2,13,49,55,67,89,96,107],"increase":[3,103],"the":[4,7,14,31,34,38,56,68,71,102,108,111],"accuracy":[5],"and":[6,74,92],"stability":[8],"of":[9,16,22,33,40,58,70,104,110],"a":[10,26,51],"scheme":[11],"dedicated":[12],"approximation":[15],"diffusion":[17],"operators":[18],"on":[19,84],"any":[20],"type":[21],"grids,":[23],"we":[24],"propose":[25],"method":[27],"which":[28],"locally":[29],"reduces":[30],"curvature":[32],"discrete":[35,45],"solution":[36,46,69],"where":[37],"loss":[39],"monotony":[41],"is":[42,47,78,87],"observed.":[43],"The":[44],"shown":[48,88],"fulfill":[50],"variational":[52],"formulation,":[53],"thanks":[54],"use":[57],"Lagrange":[59],"multipliers.":[60],"We":[61],"can":[62],"then":[63],"show":[64,101],"its":[65],"convergence":[66],"continuous":[72],"problem,":[73],"an":[75],"error":[76],"estimate":[77],"derived.":[79],"A":[80],"numerical":[81],"method,":[82],"based":[83],"Uzawa's":[85],"algorithm,":[86],"provide":[90],"accurate":[91],"stable":[93],"approximate":[94],"solutions":[95],"various":[97],"problems.":[98],"Numerical":[99],"results":[100],"precision":[105],"due":[106],"application":[109],"method.":[112]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
