{"id":"https://openalex.org/W1998270701","doi":"https://doi.org/10.1137/060657236","title":"Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media","display_name":"Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1998270701","doi":"https://doi.org/10.1137/060657236","mag":"1998270701"},"language":"en","primary_location":{"id":"doi:10.1137/060657236","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060657236","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-00022910","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/I198244214","display_name":"Universit\u00e9 Clermont Auvergne","ror":"https://ror.org/01a8ajp46","country_code":"FR","type":"education","lineage":["https://openalex.org/I198244214"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Claire Chainais-Hillairet","raw_affiliation_strings":["Universite Blaise Pascal (Blaise Pascal University)"],"affiliations":[{"raw_affiliation_string":"Universite Blaise Pascal (Blaise Pascal University)","institution_ids":["https://openalex.org/I198244214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075602113","display_name":"J\u00e9r\u00f4me Droniou","orcid":"https://orcid.org/0000-0002-3339-3053"},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J\u00e9r\u00f4me Droniou","raw_affiliation_strings":["UNIVERSITE DE MONTPELLIER (UNIVERSITY OF MONTPELLIER)"],"affiliations":[{"raw_affiliation_string":"UNIVERSITE DE MONTPELLIER (UNIVERSITY OF MONTPELLIER)","institution_ids":["https://openalex.org/I19894307"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022932808"],"corresponding_institution_ids":["https://openalex.org/I198244214"],"apc_list":null,"apc_paid":null,"fwci":2.5641,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.87988608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"45","issue":"5","first_page":"2228","last_page":"2258"},"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":0.9993000030517578,"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":0.9993000030517578,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9868999719619751,"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/discretization","display_name":"Discretization","score":0.836641252040863},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.7934638261795044},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6025068163871765},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.5998075008392334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5735629200935364},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5426360964775085},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5339981317520142},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5213016867637634},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.5054492950439453},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.46434885263442993},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37351739406585693},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.21877041459083557},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16677674651145935},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.1484539806842804},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.14192697405815125},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.05600014328956604}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.836641252040863},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.7934638261795044},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6025068163871765},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.5998075008392334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5735629200935364},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5426360964775085},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5339981317520142},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5213016867637634},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.5054492950439453},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.46434885263442993},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37351739406585693},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.21877041459083557},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16677674651145935},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.1484539806842804},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.14192697405815125},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.05600014328956604},{"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/060657236","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060657236","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-00022910v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00022910","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":"http://dl.acm.org/citation.cfm?id=1330059","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00022910v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00022910","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":"http://dl.acm.org/citation.cfm?id=1330059","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W46603733","https://openalex.org/W204624611","https://openalex.org/W1549748890","https://openalex.org/W1586623601","https://openalex.org/W1965012454","https://openalex.org/W1978369275","https://openalex.org/W1986626836","https://openalex.org/W1997446935","https://openalex.org/W2019557014","https://openalex.org/W2024625961","https://openalex.org/W2025760380","https://openalex.org/W2033783682","https://openalex.org/W2056923080","https://openalex.org/W2057579751","https://openalex.org/W2058847006","https://openalex.org/W2077106134","https://openalex.org/W2089424027","https://openalex.org/W2125919303","https://openalex.org/W2523474032"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2231544277","https://openalex.org/W1985595971","https://openalex.org/W2064714198"],"abstract_inverted_index":{"We":[0,20,54],"study":[1],"a":[2,7,17,25,31],"finite":[3,26],"volume":[4,27],"discretization":[5],"of":[6,34,51,58,79],"strongly":[8],"coupled":[9],"elliptic-parabolic":[10],"PDE":[11],"system":[12],"describing":[13],"miscible":[14],"displacement":[15],"in":[16],"porous":[18],"medium.":[19],"discretize":[21],"each":[22],"equation":[23],"by":[24],"scheme":[28,60],"which":[29],"allows":[30],"wide":[32],"variety":[33],"unstructured":[35],"grids":[36],"(in":[37],"any":[38],"space":[39,65],"dimension)":[40],"and":[41,64],"gives":[42],"strong":[43],"enough":[44],"convergence":[45,57],"for":[46],"handling":[47],"the":[48,52,56,59,62,77,80],"nonlinear":[49],"coupling":[50],"equations.":[53],"prove":[55],"as":[61],"time":[63],"steps":[66],"go":[67],"to":[68,75],"0.":[69],"Finally,":[70],"we":[71],"provide":[72],"numerical":[73,82],"results":[74],"demonstrate":[76],"efficiency":[78],"proposed":[81],"scheme.":[83]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}