{"id":"https://openalex.org/W2097116154","doi":"https://doi.org/10.1137/080731542","title":"Finite Element Approximations for Stokes\u2013Darcy Flow with Beavers\u2013Joseph Interface Conditions","display_name":"Finite Element Approximations for Stokes\u2013Darcy Flow with Beavers\u2013Joseph Interface Conditions","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2097116154","doi":"https://doi.org/10.1137/080731542","mag":"2097116154"},"language":"en","primary_location":{"id":"doi:10.1137/080731542","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080731542","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/A5030053679","display_name":"Yanzhao Cao","orcid":"https://orcid.org/0000-0003-2310-3435"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yanzhao Cao","raw_affiliation_strings":["yzc0009@auburn.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"yzc0009@auburn.edu#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076283476","display_name":"Max Gunzburger","orcid":"https://orcid.org/0000-0003-0921-9079"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Max Gunzburger","raw_affiliation_strings":["mgunzburger@fsu.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"mgunzburger@fsu.edu#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101898652","display_name":"Xiaolong Hu","orcid":"https://orcid.org/0009-0007-2015-4946"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiaolong Hu","raw_affiliation_strings":["[email\u00a0protected]#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[email\u00a0protected]#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020278023","display_name":"Fei Hua","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fei Hua","raw_affiliation_strings":["fhua@math.fsu.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"fhua@math.fsu.edu#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100701456","display_name":"Xiaoming Wang","orcid":"https://orcid.org/0000-0002-2399-6336"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiaoming Wang","raw_affiliation_strings":["wxm@math.fsu.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"wxm@math.fsu.edu#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063548285","display_name":"Weidong Zhao","orcid":"https://orcid.org/0000-0001-7865-0802"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Weidong Zhao","raw_affiliation_strings":["wdzhao@sdu.edu.cn#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"wdzhao@sdu.edu.cn#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.6488,"has_fulltext":false,"cited_by_count":208,"citation_normalized_percentile":{"value":0.97436264,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"47","issue":"6","first_page":"4239","last_page":"4256"},"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":0.9994000196456909,"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":0.9994000196456909,"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":0.9977999925613403,"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"}},{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9962999820709229,"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/finite-element-method","display_name":"Finite element method","score":0.66854327917099},{"id":"https://openalex.org/keywords/darcys-law","display_name":"Darcy's law","score":0.6089029312133789},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.6039165258407593},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6021666526794434},{"id":"https://openalex.org/keywords/stokes-flow","display_name":"Stokes flow","score":0.5834863781929016},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5649999380111694},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5525111556053162},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5464644432067871},{"id":"https://openalex.org/keywords/electrical-conduit","display_name":"Electrical conduit","score":0.5329692363739014},{"id":"https://openalex.org/keywords/darcy\u2013weisbach-equation","display_name":"Darcy\u2013Weisbach equation","score":0.46381446719169617},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.46144384145736694},{"id":"https://openalex.org/keywords/aquifer","display_name":"Aquifer","score":0.426896870136261},{"id":"https://openalex.org/keywords/richards-equation","display_name":"Richards equation","score":0.42505186796188354},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40895822644233704},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3252147436141968},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.30205944180488586},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.28474634885787964},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.28442227840423584},{"id":"https://openalex.org/keywords/groundwater","display_name":"Groundwater","score":0.2615205645561218},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.22647175192832947},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16725558042526245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13846197724342346},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.11683735251426697}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.66854327917099},{"id":"https://openalex.org/C183447037","wikidata":"https://www.wikidata.org/wiki/Q392416","display_name":"Darcy's law","level":4,"score":0.6089029312133789},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.6039165258407593},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6021666526794434},{"id":"https://openalex.org/C19191322","wikidata":"https://www.wikidata.org/wiki/Q674202","display_name":"Stokes flow","level":3,"score":0.5834863781929016},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5649999380111694},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5525111556053162},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5464644432067871},{"id":"https://openalex.org/C89836073","wikidata":"https://www.wikidata.org/wiki/Q1719631","display_name":"Electrical conduit","level":2,"score":0.5329692363739014},{"id":"https://openalex.org/C181757486","wikidata":"https://www.wikidata.org/wiki/Q1142285","display_name":"Darcy\u2013Weisbach equation","level":4,"score":0.46381446719169617},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.46144384145736694},{"id":"https://openalex.org/C75622301","wikidata":"https://www.wikidata.org/wiki/Q208791","display_name":"Aquifer","level":3,"score":0.426896870136261},{"id":"https://openalex.org/C103272765","wikidata":"https://www.wikidata.org/wiki/Q2151066","display_name":"Richards equation","level":3,"score":0.42505186796188354},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40895822644233704},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3252147436141968},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.30205944180488586},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28474634885787964},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.28442227840423584},{"id":"https://openalex.org/C76177295","wikidata":"https://www.wikidata.org/wiki/Q161598","display_name":"Groundwater","level":2,"score":0.2615205645561218},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.22647175192832947},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16725558042526245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13846197724342346},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.11683735251426697},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C24939127","wikidata":"https://www.wikidata.org/wiki/Q373499","display_name":"Water content","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/080731542","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080731542","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:10.1.1.407.1577","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.407.1577","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://people.sc.fsu.edu/~mgunzburger/files_papers/gunzburger-groundwater-bjfem.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1556434731","https://openalex.org/W1589236075","https://openalex.org/W1674659126","https://openalex.org/W1992274274","https://openalex.org/W2012201881","https://openalex.org/W2015526039","https://openalex.org/W2027509489","https://openalex.org/W2052683789","https://openalex.org/W2085797730","https://openalex.org/W2087290839","https://openalex.org/W2099150268","https://openalex.org/W2100969493","https://openalex.org/W2152169625","https://openalex.org/W2341837764"],"related_works":["https://openalex.org/W2035636887","https://openalex.org/W2379312570","https://openalex.org/W4385191146","https://openalex.org/W2965051447","https://openalex.org/W2035127243","https://openalex.org/W3186929630","https://openalex.org/W4234283920","https://openalex.org/W4390716203","https://openalex.org/W2963954778","https://openalex.org/W1595863715"],"abstract_inverted_index":{"Numerical":[0,83],"solutions":[1],"using":[2],"finite":[3,78],"element":[4,79],"methods":[5],"are":[6,71,81],"considered":[7],"for":[8,25,27,77],"transient":[9],"flow":[10,18,35],"in":[11,19,30,42,50],"a":[12,43],"porous":[13,44],"medium":[14,45],"coupled":[15,34],"to":[16],"free":[17],"embedded":[20],"conduits.":[21],"Such":[22],"situations":[23],"arise,":[24],"example,":[26],"groundwater":[28],"flows":[29],"karst":[31],"aquifers.":[32],"The":[33],"is":[36],"modeled":[37],"by":[38],"the":[39,47,51,55,58,67,86,89],"Darcy":[40],"equation":[41],"and":[46,60,74],"Stokes":[48],"equations":[49],"conduit":[52],"domain.":[53],"On":[54],"interface":[56,63],"between":[57],"matrix":[59],"conduit,":[61],"Beavers\u2013Joseph":[62],"conditions,":[64,70],"instead":[65],"of":[66,88],"simplified":[68],"Beavers\u2013Joseph\u2013Saffman":[69],"imposed.":[72],"Convergence":[73],"error":[75],"estimates":[76],"approximations":[80],"obtained.":[82],"experiments":[84],"illustrate":[85],"validity":[87],"theoretical":[90],"results.":[91]},"counts_by_year":[{"year":2026,"cited_by_count":12},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":20},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":20},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":17},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":15},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":6}],"updated_date":"2026-07-17T09:13:05.818461","created_date":"2025-10-10T00:00:00"}
