{"id":"https://openalex.org/W4391752353","doi":"https://doi.org/10.1137/22m1516294","title":"Nonlinearly Constrained Pressure Residual (NCPR) Algorithms for Fractured Reservoir Simulation","display_name":"Nonlinearly Constrained Pressure Residual (NCPR) Algorithms for Fractured Reservoir Simulation","publication_year":2024,"publication_date":"2024-02-12","ids":{"openalex":"https://openalex.org/W4391752353","doi":"https://doi.org/10.1137/22m1516294"},"language":"en","primary_location":{"id":"doi:10.1137/22m1516294","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1516294","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/A5101491692","display_name":"Haijian Yang","orcid":"https://orcid.org/0000-0002-7380-0004"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haijian Yang","raw_affiliation_strings":["School of Mathematics, Hunan University, Changsha, Hunan, 410082, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Hunan University, Changsha, Hunan, 410082, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019250315","display_name":"R. Li","orcid":"https://orcid.org/0009-0003-5593-4476"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Li","raw_affiliation_strings":["School of Mathematical Sciences, Peking University, Beijing, 100871, China"],"raw_orcid":"https://orcid.org/0009-0003-5593-4476","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Peking University, Beijing, 100871, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005718995","display_name":"Chao Yang","orcid":"https://orcid.org/0000-0001-7426-6248"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Yang","raw_affiliation_strings":["Corresponding author. School of Mathematical Sciences, Peking University, Beijing, 100871, China"],"raw_orcid":"https://orcid.org/0000-0001-7426-6248","affiliations":[{"raw_affiliation_string":"Corresponding author. School of Mathematical Sciences, Peking University, Beijing, 100871, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101491692"],"corresponding_institution_ids":["https://openalex.org/I16609230"],"apc_list":null,"apc_paid":null,"fwci":3.5828,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.92909856,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"46","issue":"1","first_page":"A561","last_page":"A586"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.8417370915412903},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7864031195640564},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.6536145806312561},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6041672229766846},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6033508777618408},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5395926237106323},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5012314319610596},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.49413636326789856},{"id":"https://openalex.org/keywords/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.4877524971961975},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.45203840732574463},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.43866589665412903},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4373653531074524},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.41957131028175354},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4117923974990845},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.39734041690826416},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3610745072364807},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33170783519744873},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07168468832969666}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8417370915412903},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7864031195640564},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.6536145806312561},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6041672229766846},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6033508777618408},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5395926237106323},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5012314319610596},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.49413636326789856},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.4877524971961975},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.45203840732574463},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.43866589665412903},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4373653531074524},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.41957131028175354},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4117923974990845},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.39734041690826416},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3610745072364807},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33170783519744873},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07168468832969666},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1516294","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1516294","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/9"}],"awards":[{"id":"https://openalex.org/G1428725071","display_name":null,"funder_award_id":"11971006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4176251304","display_name":null,"funder_award_id":"12131002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5086963604","display_name":null,"funder_award_id":"12371366","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W593406250","https://openalex.org/W1170355282","https://openalex.org/W1506342804","https://openalex.org/W1542243431","https://openalex.org/W1548589512","https://openalex.org/W1566323605","https://openalex.org/W1967077838","https://openalex.org/W1978782819","https://openalex.org/W1983139887","https://openalex.org/W2051468482","https://openalex.org/W2068484625","https://openalex.org/W2075087492","https://openalex.org/W2093246563","https://openalex.org/W2113734366","https://openalex.org/W2124576491","https://openalex.org/W2130756427","https://openalex.org/W2150207569","https://openalex.org/W2171303908","https://openalex.org/W2177116738","https://openalex.org/W2486813770","https://openalex.org/W2540191835","https://openalex.org/W2547697596","https://openalex.org/W2560347496","https://openalex.org/W2752809284","https://openalex.org/W2802932066","https://openalex.org/W2803413428","https://openalex.org/W2911397659","https://openalex.org/W2963157298","https://openalex.org/W2964076483","https://openalex.org/W2967252474","https://openalex.org/W3005203535","https://openalex.org/W3046054906","https://openalex.org/W3170876937"],"related_works":["https://openalex.org/W2042846224","https://openalex.org/W2113830538","https://openalex.org/W2942315554","https://openalex.org/W2358905935","https://openalex.org/W2127062440","https://openalex.org/W2804461272","https://openalex.org/W3157581606","https://openalex.org/W2382988560","https://openalex.org/W2024149451","https://openalex.org/W4322732133"],"abstract_inverted_index":{".The":[0],"constrained":[1],"pressure":[2,143,226],"residual":[3,227],"(CPR)":[4],"algorithm":[5,20,202,210],"is":[6,21,32,54,131,163,171,203],"a":[7,22,50,126,157],"family":[8],"of":[9,45,64,77,91,111,141,159,191,213],"well-known":[10],"and":[11,31,41,87,134,144,148,188,216],"industry-standard":[12],"preconditioners":[13],"for":[14,56,70,101],"large-scale":[15],"reservoir":[16,104],"simulation.":[17],"The":[18],"CPR":[19,59,98],"two-stage":[23],"preconditioner":[24],"to":[25,35,61,95,106,136,184,205],"deal":[26,107],"with":[27,79,108],"different":[28],"blocks":[29],"stage-by-stage,":[30],"often":[33],"able":[34],"effectively":[36,71],"improve":[37],"the":[38,42,57,67,89,96,109,112,118,122,138,142,145,149,166,186,192,200,206,214,217],"robustness":[39,215],"behavior":[40],"convergence":[43,114,151],"speed":[44],"linear":[46,51,93],"iterations.":[47],"Nonetheless,":[48],"as":[49],"preconditioner,":[52],"it":[53],"hard":[55],"traditional":[58],"method":[60,94],"be":[62,154],"capable":[63],"action":[65],"at":[66],"nonlinear":[68,75,119,124,128,168,209,221],"level":[69],"solving":[72,102],"large":[73],"sparse":[74],"systems":[76],"equations":[78],"high":[80],"nonlinearity.":[81],"In":[82,121],"this":[83,92],"paper,":[84],"we":[85],"present":[86],"study":[88],"extension":[90],"nonlinearly":[97],"(NCPR)":[99],"case":[100],"fractured":[103],"problems,":[105],"difficulty":[110],"slow":[113],"or":[115,176],"stagnation":[116],"from":[117],"level.":[120],"proposed":[123,201],"preconditioning,":[125],"subspace":[127,167],"block":[129,169],"system":[130,170],"first":[132],"built":[133],"solved":[135],"remove":[137],"unbalanced":[139],"nonlinearities":[140],"saturation":[146],"fields,":[147],"fast":[150],"can":[152],"then":[153],"restored":[155],"when":[156],"variant":[158],"semismooth":[160],"Newton":[161,224],"methods":[162],"called":[164],"after":[165],"solved.":[172],"Experiments":[173],"on":[174],"two":[175],"three":[177],"dimensional":[178],"porous":[179],"media":[180],"applications":[181],"are":[182],"presented":[183],"demonstrate":[185],"applicability":[187],"parallel":[189],"scalability":[190],"aforementioned":[193],"NCPR":[194],"method.":[195],"We":[196],"also":[197],"show":[198],"that":[199],"superior":[204],"commonly":[207],"used":[208],"in":[211],"terms":[212],"positivity-preserving":[218],"property.Keywordsreservoir":[219],"simulation":[220],"preconditioning":[222],"inexact":[223],"methodsconstrained":[225],"algorithmparallel":[228],"computingMSC":[229],"codes76S0565H1065Y0565F0865N22":[230]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
