{"id":"https://openalex.org/W2052683789","doi":"https://doi.org/10.1137/s0036142903427640","title":"Locally Conservative Coupling of Stokes and Darcy Flows","display_name":"Locally Conservative Coupling of Stokes and Darcy Flows","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2052683789","doi":"https://doi.org/10.1137/s0036142903427640","mag":"2052683789"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142903427640","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142903427640","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046673531","display_name":"B\u00e9atrice Rivi\u00e8re","orcid":"https://orcid.org/0000-0003-4230-2528"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"B\u00e9atrice Rivi\u00e8re","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5008433865","display_name":"Ivan Yotov","orcid":"https://orcid.org/0000-0002-5318-1090"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ivan Yotov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.4982,"has_fulltext":false,"cited_by_count":266,"citation_normalized_percentile":{"value":0.98063577,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"42","issue":"5","first_page":"1959","last_page":"1977"},"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":1.0,"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":1.0,"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":0.9991999864578247,"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":0.9983999729156494,"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/stokes-problem","display_name":"Stokes problem","score":0.8292428255081177},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7687835693359375},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.68631911277771},{"id":"https://openalex.org/keywords/stokes-flow","display_name":"Stokes flow","score":0.6584630012512207},{"id":"https://openalex.org/keywords/darcys-law","display_name":"Darcy's law","score":0.635744035243988},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5545324087142944},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.542384684085846},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5011918544769287},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4877358376979828},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4387034773826599},{"id":"https://openalex.org/keywords/darcy\u2013weisbach-equation","display_name":"Darcy\u2013Weisbach equation","score":0.42293843626976013},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.2274416983127594},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21697434782981873},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.16639870405197144},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10998362302780151},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.0863170325756073},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.05609840154647827}],"concepts":[{"id":"https://openalex.org/C2780355006","wikidata":"https://www.wikidata.org/wiki/Q30715867","display_name":"Stokes problem","level":3,"score":0.8292428255081177},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7687835693359375},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.68631911277771},{"id":"https://openalex.org/C19191322","wikidata":"https://www.wikidata.org/wiki/Q674202","display_name":"Stokes flow","level":3,"score":0.6584630012512207},{"id":"https://openalex.org/C183447037","wikidata":"https://www.wikidata.org/wiki/Q392416","display_name":"Darcy's law","level":4,"score":0.635744035243988},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5545324087142944},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.542384684085846},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5011918544769287},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4877358376979828},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4387034773826599},{"id":"https://openalex.org/C181757486","wikidata":"https://www.wikidata.org/wiki/Q1142285","display_name":"Darcy\u2013Weisbach equation","level":4,"score":0.42293843626976013},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.2274416983127594},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21697434782981873},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.16639870405197144},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10998362302780151},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.0863170325756073},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.05609840154647827},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036142903427640","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142903427640","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:CiteSeerX.psu:10.1.1.65.8282","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.65.8282","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.pitt.edu/~yotov/research/publications/dgm-final.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W136185420","https://openalex.org/W148206876","https://openalex.org/W204624611","https://openalex.org/W1560704293","https://openalex.org/W1597209545","https://openalex.org/W1598074861","https://openalex.org/W1674659126","https://openalex.org/W1966513386","https://openalex.org/W1985585771","https://openalex.org/W1992274274","https://openalex.org/W1995682074","https://openalex.org/W2027509489","https://openalex.org/W2036739759","https://openalex.org/W2040933131","https://openalex.org/W2041523977","https://openalex.org/W2051682834","https://openalex.org/W2062618977","https://openalex.org/W2071505893","https://openalex.org/W2088904218","https://openalex.org/W2099150268","https://openalex.org/W2100969493","https://openalex.org/W2113227897","https://openalex.org/W2113267855","https://openalex.org/W2145344822","https://openalex.org/W2464997744","https://openalex.org/W2592623476","https://openalex.org/W2607483978","https://openalex.org/W3149667697","https://openalex.org/W4252104256","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2004848415","https://openalex.org/W2966496118","https://openalex.org/W2973124212","https://openalex.org/W2965051447","https://openalex.org/W3186929630","https://openalex.org/W2035127243","https://openalex.org/W4293102502","https://openalex.org/W2093308788","https://openalex.org/W2052683789","https://openalex.org/W128883980"],"abstract_inverted_index":{"A":[0,39],"locally":[1],"conservative":[2],"numerical":[3],"method":[4,25,34],"for":[5,26,35],"solving":[6],"the":[7,21,27,31,36],"coupled":[8],"Stokes":[9,37],"and":[10,16,30,43],"Darcy":[11,28],"flows":[12],"problem":[13],"is":[14],"formulated":[15],"analyzed.":[17],"The":[18],"approach":[19],"employs":[20],"mixed":[22],"finite":[23],"element":[24],"region":[29],"discontinuous":[32],"Galerkin":[33],"region.":[38],"discrete":[40],"inf-sup":[41],"condition":[42],"optimal":[44],"error":[45],"estimates":[46],"are":[47],"derived.":[48]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":20},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":19},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":15},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":18},{"year":2013,"cited_by_count":16},{"year":2012,"cited_by_count":9}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
