{"id":"https://openalex.org/W3170876937","doi":"https://doi.org/10.1137/20m1344652","title":"Nonlinear Preconditioning Strategies for Two-Phase Flows in Porous Media Discretized by a Fully Implicit Discontinuous Galerkin Method","display_name":"Nonlinear Preconditioning Strategies for Two-Phase Flows in Porous Media Discretized by a Fully Implicit Discontinuous Galerkin Method","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3170876937","doi":"https://doi.org/10.1137/20m1344652","mag":"3170876937"},"language":"en","primary_location":{"id":"doi:10.1137/20m1344652","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1344652","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5101715435","display_name":"Li Luo","orcid":"https://orcid.org/0000-0002-3123-9132"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Li Luo","raw_affiliation_strings":["Extreme Computing Research Center, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Extreme Computing Research Center, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006367748","display_name":"Xiao\u2010Chuan Cai","orcid":"https://orcid.org/0000-0003-0296-8640"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Xiao-Chuan Cai","raw_affiliation_strings":["Department of Mathematics, University of Macau, Macau, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021283893","display_name":"David E. Keyes","orcid":"https://orcid.org/0000-0002-4052-7224"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"David E. Keyes","raw_affiliation_strings":["Extreme Computing Research Center, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Extreme Computing Research Center, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101715435"],"corresponding_institution_ids":["https://openalex.org/I71920554"],"apc_list":null,"apc_paid":null,"fwci":2.802,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.90351597,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"43","issue":"5","first_page":"S317","last_page":"S344"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9984999895095825,"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":0.9970999956130981,"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":0.8935562968254089},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.8159180283546448},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.7347195744514465},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7019922733306885},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6902339458465576},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.6850587725639343},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4788370430469513},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46891698241233826},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.38616445660591125},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.25394484400749207},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1214597225189209},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.10149204730987549},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.055161088705062866}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8935562968254089},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.8159180283546448},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.7347195744514465},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7019922733306885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6902339458465576},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.6850587725639343},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4788370430469513},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46891698241233826},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.38616445660591125},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.25394484400749207},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1214597225189209},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.10149204730987549},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.055161088705062866},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/20m1344652","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1344652","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:repository.kaust.edu.sa:10754/669497","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/669497","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":[{"id":"https://openalex.org/G1770571926","display_name":null,"funder_award_id":"11701547","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6250848201","display_name":null,"funder_award_id":"N-HKUST620/15","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1566323605","https://openalex.org/W1570434129","https://openalex.org/W1969098340","https://openalex.org/W1970055754","https://openalex.org/W1978588246","https://openalex.org/W1986174760","https://openalex.org/W1999169366","https://openalex.org/W2013613422","https://openalex.org/W2029468177","https://openalex.org/W2042267977","https://openalex.org/W2048369486","https://openalex.org/W2050075524","https://openalex.org/W2055399118","https://openalex.org/W2060949683","https://openalex.org/W2084073638","https://openalex.org/W2122824057","https://openalex.org/W2130756427","https://openalex.org/W2136889760","https://openalex.org/W2149356340","https://openalex.org/W2150207569","https://openalex.org/W2152023749","https://openalex.org/W2164540276","https://openalex.org/W2165397333","https://openalex.org/W2170489872","https://openalex.org/W2171303908","https://openalex.org/W2171439467","https://openalex.org/W2177116738","https://openalex.org/W2414175575","https://openalex.org/W2486813770","https://openalex.org/W2513236568","https://openalex.org/W2540191835","https://openalex.org/W2560347496","https://openalex.org/W2793872448","https://openalex.org/W2802932066","https://openalex.org/W2924740176","https://openalex.org/W2972383066","https://openalex.org/W2982320726","https://openalex.org/W3005203535","https://openalex.org/W3032083668","https://openalex.org/W3046554104","https://openalex.org/W3106950348","https://openalex.org/W3209210654"],"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/W2055696851","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2887215440"],"abstract_inverted_index":{"We":[0,147],"consider":[1],"numerical":[2,175],"simulation":[3],"of":[4,14,49,71,115,131,144,153,195],"two-phase":[5,72],"flows":[6,73],"in":[7,46,193],"porous":[8,180],"media":[9,181],"using":[10],"implicit":[11,78],"methods.":[12],"Because":[13],"the":[15,25,31,47,69,88,94,112,116,119,123,132,142,145,149,154,164,185],"complex":[16],"features":[17],"involving":[18],"heterogeneous":[19],"permeability":[20],"and":[21,85,118,122,151,163,174,197],"nonlinear":[22,26,65],"capillary":[23],"effects,":[24],"algebraic":[27],"systems":[28],"arising":[29],"from":[30,43],"discretization":[32],"are":[33,188],"very":[34],"difficult":[35],"to":[36,97,171,190],"solve.":[37],"The":[38,82],"traditional":[39],"Newton":[40,95,167],"method":[41,96,168],"suffers":[42],"slow":[44],"convergence":[45],"form":[48],"a":[50,76],"long":[51],"stagnation":[52],"or":[53],"sometimes":[54],"does":[55],"not":[56],"converge":[57],"at":[58],"all.":[59],"In":[60],"this":[61],"paper,":[62],"we":[63,102],"develop":[64],"preconditioning":[66],"strategies":[67],"for":[68],"system":[70],"discretized":[74],"by":[75],"fully":[77],"discontinuous":[79],"Galerkin":[80],"method.":[81],"preconditioners":[83],"identify":[84],"approximately":[86],"eliminate":[87],"local":[89],"high":[90],"nonlinearities":[91,114,140],"that":[92,136,184],"cause":[93],"take":[98],"small":[99],"updates.":[100],"Specifically,":[101],"propose":[103],"two":[104],"elimination":[105,161],"strategies:":[106],"one":[107],"is":[108,125],"based":[109,126],"on":[110,127,178],"exploring":[111],"unbalanced":[113],"pressure":[117],"saturation":[120],"fields,":[121],"other":[124,191],"identifying":[128],"certain":[129],"elements":[130],"finite":[133],"element":[134],"space":[135],"have":[137],"much":[138],"higher":[139],"than":[141],"rest":[143],"elements.":[146],"compare":[148],"performance":[150],"robustness":[152,196],"proposed":[155,186],"algorithms":[156,187],"with":[157,169],"an":[158],"existing":[159],"single-field":[160],"approach":[162],"classical":[165],"inexact":[166],"respect":[170],"some":[172],"physical":[173],"parameters.":[176],"Experiments":[177],"three-dimensional":[179],"applications":[182],"show":[183],"superior":[189],"methods":[192],"terms":[194],"parallel":[198],"efficiency.":[199]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":7},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}