{"id":"https://openalex.org/W2265749247","doi":"https://doi.org/10.1137/17m1139102","title":"Robust Discretization of Flow in Fractured Porous Media","display_name":"Robust Discretization of Flow in Fractured Porous Media","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2265749247","doi":"https://doi.org/10.1137/17m1139102","mag":"2265749247"},"language":"en","primary_location":{"id":"doi:10.1137/17m1139102","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1139102","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1601.06977","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065838227","display_name":"Wietse M. Boon","orcid":"https://orcid.org/0000-0003-4080-2369"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wietse M. Boon","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087384117","display_name":"Jan M. Nordbotten","orcid":"https://orcid.org/0000-0003-1455-5704"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jan M. Nordbotten","raw_affiliation_strings":[],"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":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065838227"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0407,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.72394183,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"56","issue":"4","first_page":"2203","last_page":"2233"},"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/T10894","display_name":"Groundwater flow and contamination studies","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10635","display_name":"Hydraulic Fracturing and Reservoir Analysis","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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":0.9492615461349487},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6825388073921204},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.6007788777351379},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5828588008880615},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5400638580322266},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46071702241897583},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45560991764068604},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.444945365190506},{"id":"https://openalex.org/keywords/conservation-of-mass","display_name":"Conservation of mass","score":0.4434850811958313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3757389187812805},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37148481607437134},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36632028222084045},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.34540730714797974},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3135527968406677},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.19045433402061462},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.187300443649292},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.1435530185699463},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1268172562122345},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.11402380466461182},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09370556473731995}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.9492615461349487},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6825388073921204},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.6007788777351379},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5828588008880615},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5400638580322266},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46071702241897583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45560991764068604},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.444945365190506},{"id":"https://openalex.org/C157206272","wikidata":"https://www.wikidata.org/wiki/Q483948","display_name":"Conservation of mass","level":2,"score":0.4434850811958313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3757389187812805},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37148481607437134},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36632028222084045},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34540730714797974},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3135527968406677},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.19045433402061462},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.187300443649292},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.1435530185699463},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1268172562122345},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.11402380466461182},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09370556473731995},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/17m1139102","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1139102","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:arXiv.org:1601.06977","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.06977","pdf_url":"https://arxiv.org/pdf/1601.06977","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:bora.uib.no:1956/18157","is_oa":true,"landing_page_url":"https://hdl.handle.net/1956/18157","pdf_url":"https://bora.uib.no/bora-xmlui/bitstream/1956/18157/1/paperI.pdf","source":{"id":"https://openalex.org/S4306400085","display_name":"Bergen Open Research Archive (BORA) (University of Bergen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4432739","host_organization_name":"University of Bergen","host_organization_lineage":["https://openalex.org/I4432739"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"4","raw_type":null},{"id":"mag:2265749247","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1601.06977.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1601.06977","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1601.06977","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1601.06977","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.06977","pdf_url":"https://arxiv.org/pdf/1601.06977","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":[{"score":0.47999998927116394,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G518311326","display_name":null,"funder_award_id":"DE-FG02-04ER25618","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5763041985","display_name":null,"funder_award_id":"DMS-1418947","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6763030320","display_name":null,"funder_award_id":"250223","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G7750118606","display_name":null,"funder_award_id":"233736","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320323299","display_name":"Norges Forskningsr\u00e5d","ror":"https://ror.org/00epmv149"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W73123583","https://openalex.org/W131637262","https://openalex.org/W614447849","https://openalex.org/W1555627060","https://openalex.org/W1964990176","https://openalex.org/W1975979658","https://openalex.org/W1995717402","https://openalex.org/W2024488576","https://openalex.org/W2032909949","https://openalex.org/W2050222014","https://openalex.org/W2059321831","https://openalex.org/W2062618977","https://openalex.org/W2081180841","https://openalex.org/W2093948150","https://openalex.org/W2094293004","https://openalex.org/W2098763399","https://openalex.org/W2113227897","https://openalex.org/W2119180425","https://openalex.org/W2131343962","https://openalex.org/W2147609285","https://openalex.org/W2147874172","https://openalex.org/W2188276974","https://openalex.org/W2530017061","https://openalex.org/W2578146255","https://openalex.org/W2601167827"],"related_works":["https://openalex.org/W2786028739","https://openalex.org/W2947905771","https://openalex.org/W2098763399","https://openalex.org/W2775878096","https://openalex.org/W2767639170","https://openalex.org/W2499318715","https://openalex.org/W2046358818","https://openalex.org/W2113923457","https://openalex.org/W2963898481","https://openalex.org/W2094293004","https://openalex.org/W1986187395","https://openalex.org/W2547409720","https://openalex.org/W2804149125","https://openalex.org/W2337235130","https://openalex.org/W2780400852","https://openalex.org/W21616399","https://openalex.org/W2669938236","https://openalex.org/W2346057040","https://openalex.org/W2182752444","https://openalex.org/W3035116212"],"abstract_inverted_index":{"Flow":[0],"in":[1,39,57,64,92],"fractured":[2],"porous":[3],"media":[4],"represents":[5],"a":[6,22,58,72,93],"challenge":[7],"for":[8,87],"discretization":[9,80,103],"methods":[10],"due":[11],"to":[12,106,119,125],"the":[13,27,43,47,51,62,65,68,117,126],"disparate":[14],"scales":[15],"and":[16,32,85,90,109],"complex":[17],"geometry.":[18],"Herein":[19],"we":[20],"propose":[21],"new":[23],"discretization,":[24],"based":[25],"on":[26],"mixed":[28,52,128],"finite":[29,53,129],"element":[30,54,130],"method":[31,118],"mortar":[33,48],"methods.":[34],"Our":[35],"formulation":[36,59],"is":[37,104,133],"novel":[38],"that":[40,60],"it":[41],"employs":[42],"normal":[44],"fluxes":[45],"as":[46,96,98],"variable":[49],"within":[50],"framework,":[55],"resulting":[56],"couples":[61],"flow":[63],"fractures":[66],"with":[67,71,123],"surrounding":[69],"domain":[70],"strong":[73],"notion":[74],"of":[75],"mass":[76],"conservation.":[77],"The":[78,102],"proposed":[79],"handles":[81],"complex,":[82],"nonmatching":[83],"grids":[84],"allows":[86],"fracture":[88],"intersections":[89],"termination":[91],"natural":[94],"way,":[95],"well":[97],"spatially":[99],"varying":[100],"apertures.":[101],"applicable":[105],"both":[107],"two":[108],"three":[110],"spatial":[111],"dimensions.":[112],"A":[113],"priori":[114],"analysis":[115],"shows":[116],"be":[120],"optimally":[121],"convergent":[122],"respect":[124],"chosen":[127],"spaces,":[131],"which":[132],"supported":[134],"by":[135],"numerical":[136],"examples.":[137]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
