{"id":"https://openalex.org/W2035668454","doi":"https://doi.org/10.1137/140970574","title":"Mixed Generalized Multiscale Finite Element Methods and Applications","display_name":"Mixed Generalized Multiscale Finite Element Methods and Applications","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2035668454","doi":"https://doi.org/10.1137/140970574","mag":"2035668454"},"language":"en","primary_location":{"id":"doi:10.1137/140970574","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140970574","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","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/A5078042062","display_name":"Eric T. Chung","orcid":"https://orcid.org/0000-0002-3096-3399"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Eric T. Chung","raw_affiliation_strings":["Department of Mathematics, Chinese University of Hong Kong (CUHK), Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Chinese University of Hong Kong (CUHK), Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072051543","display_name":"Yalchin Efendiev","orcid":"https://orcid.org/0000-0001-9626-303X"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yalchin Efendiev","raw_affiliation_strings":["Department of Mathematics, Institute for Scientific Computation (ISC), Texas A and M University, College Station, TX, United States"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute for Scientific Computation (ISC), Texas A and M University, College Station, TX, United States","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003575107","display_name":"Chak Shing Lee","orcid":"https://orcid.org/0000-0002-9573-3463"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chak Shing Lee","raw_affiliation_strings":["Department of Mathematics, Institute for Scientific Computation (ISC), Texas A and M University, College Station, TX, United States"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute for Scientific Computation (ISC), Texas A and M University, College Station, TX, United States","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078042062"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":null,"apc_paid":null,"fwci":15.6456,"has_fulltext":false,"cited_by_count":157,"citation_normalized_percentile":{"value":0.99319173,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"13","issue":"1","first_page":"338","last_page":"366"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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/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/T11558","display_name":"Composite Material Mechanics","score":0.9994000196456909,"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/basis-function","display_name":"Basis function","score":0.750682532787323},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6691038608551025},{"id":"https://openalex.org/keywords/oversampling","display_name":"Oversampling","score":0.6609851121902466},{"id":"https://openalex.org/keywords/snapshot","display_name":"Snapshot (computer storage)","score":0.5935036540031433},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4625737965106964},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.457526296377182},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4469600021839142},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4468567669391632},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4158395528793335},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37429362535476685},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29518944025039673},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1907060742378235},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.09841397404670715}],"concepts":[{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.750682532787323},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6691038608551025},{"id":"https://openalex.org/C197323446","wikidata":"https://www.wikidata.org/wiki/Q331222","display_name":"Oversampling","level":3,"score":0.6609851121902466},{"id":"https://openalex.org/C55282118","wikidata":"https://www.wikidata.org/wiki/Q252683","display_name":"Snapshot (computer storage)","level":2,"score":0.5935036540031433},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4625737965106964},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.457526296377182},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4469600021839142},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4468567669391632},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4158395528793335},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37429362535476685},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29518944025039673},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1907060742378235},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.09841397404670715},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/140970574","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140970574","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},{"id":"pmh:oai:repository.kaust.edu.sa:10754/347292","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/347292","pdf_url":null,"source":{"id":"https://openalex.org/S4306401596","display_name":"King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71920554","host_organization_name":"King Abdullah University of Science and Technology","host_organization_lineage":["https://openalex.org/I71920554"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W190146808","https://openalex.org/W359661129","https://openalex.org/W1637323070","https://openalex.org/W1992223056","https://openalex.org/W1997619872","https://openalex.org/W2000272165","https://openalex.org/W2003637147","https://openalex.org/W2005788407","https://openalex.org/W2007512666","https://openalex.org/W2008075030","https://openalex.org/W2019418514","https://openalex.org/W2024798661","https://openalex.org/W2029918260","https://openalex.org/W2038330765","https://openalex.org/W2060368109","https://openalex.org/W2068928593","https://openalex.org/W2114051217","https://openalex.org/W2126028850","https://openalex.org/W2145062249","https://openalex.org/W2194159388","https://openalex.org/W2963710982","https://openalex.org/W2963950594"],"related_works":["https://openalex.org/W2006953814","https://openalex.org/W2542637001","https://openalex.org/W1972782945","https://openalex.org/W3212981098","https://openalex.org/W4221090543","https://openalex.org/W2130622405","https://openalex.org/W2109887391","https://openalex.org/W1748978355","https://openalex.org/W1819996744","https://openalex.org/W2886533026"],"abstract_inverted_index":{"In":[0,117],"this":[1],"paper,":[2,119],"we":[3,59,96,120],"present":[4,147],"a":[5,26,35,45,61,72,141,172],"mixed":[6,36,130],"generalized":[7],"multiscale":[8,22,52],"finite":[9,37],"element":[10,38],"method":[11],"(GMsFEM)":[12],"for":[13,55,150],"solving":[14],"flow":[15,152],"in":[16,71,109,159],"heterogeneous":[17],"media.":[18],"Our":[19,161],"approach":[20],"constructs":[21],"basis":[23,32,53,157,174],"functions":[24,33,54,158,175],"following":[25],"GMsFEM":[27],"framework":[28],"and":[29,95,153],"couples":[30],"these":[31],"using":[34],"method,":[39],"which":[40],"allows":[41],"us":[42],"to":[43,139],"obtain":[44],"mass":[46],"conservative":[47],"velocity":[48,68],"field.":[49],"To":[50],"construct":[51],"each":[56],"coarse":[57,76,177],"edge,":[58],"design":[60],"snapshot":[62,84,111,144],"space":[63,112],"that":[64,78,125,165],"consists":[65],"of":[66,74,129,135],"fine-scale":[67],"fields":[69],"supported":[70],"union":[73],"two":[75],"regions":[77],"share":[79],"the":[80,92,101,110,115,118,127],"common":[81,102],"interface.":[82,103],"The":[83],"vectors":[85],"have":[86],"zero":[87],"Neumann":[88],"boundary":[89],"conditions":[90],"on":[91,100],"outer":[93],"boundaries,":[94],"prescribe":[97],"their":[98],"values":[99],"We":[104,146],"describe":[105],"several":[106],"spectral":[107],"decompositions":[108],"motivated":[113],"by":[114],"analysis.":[116],"also":[121],"study":[122],"oversampling":[123,136],"approaches":[124],"enhance":[126],"accuracy":[128,170],"GMsFEM.":[131],"A":[132],"main":[133],"idea":[134],"techniques":[137],"is":[138],"introduce":[140],"small":[142],"dimensional":[143],"space.":[145],"numerical":[148,162],"results":[149,163],"two-phase":[151],"transport,":[154],"without":[155],"updating":[156],"time.":[160],"show":[164],"one":[166,180],"can":[167],"achieve":[168],"good":[169],"with":[171],"few":[173],"per":[176],"edge":[178],"if":[179],"selects":[181],"appropriate":[182],"offline":[183],"spaces.":[184]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":25},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":20},{"year":2018,"cited_by_count":18},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}
