{"id":"https://openalex.org/W4283267821","doi":"https://doi.org/10.1137/21m1416138","title":"A Nonlinear Elimination Preconditioned Inexact Newton Algorithm","display_name":"A Nonlinear Elimination Preconditioned Inexact Newton Algorithm","publication_year":2022,"publication_date":"2022-06-01","ids":{"openalex":"https://openalex.org/W4283267821","doi":"https://doi.org/10.1137/21m1416138"},"language":"en","primary_location":{"id":"doi:10.1137/21m1416138","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1416138","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/A5100404442","display_name":"Lulu Liu","orcid":"https://orcid.org/0000-0002-0357-1322"},"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"]},{"id":"https://openalex.org/I22265921","display_name":"National Central University","ror":"https://ror.org/00944ve71","country_code":"TW","type":"education","lineage":["https://openalex.org/I22265921"]},{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]},{"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":["CN","MO","SA","TW"],"is_corresponding":false,"raw_author_name":"Lulu Liu","raw_affiliation_strings":["\\dagger School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, China","\\S Faculty of Science and Technology, University of Macau, Macau, China","\\P Extreme Computing Research Center, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia","\\ddagger Department of Mathematics, National Central University, Jhongli District, Taoyuan City 320317, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\\dagger School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"\\S Faculty of Science and Technology, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]},{"raw_affiliation_string":"\\P Extreme Computing Research Center, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"\\ddagger Department of Mathematics, National Central University, Jhongli District, Taoyuan City 320317, Taiwan","institution_ids":["https://openalex.org/I22265921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067761186","display_name":"Feng\u2010Nan Hwang","orcid":"https://orcid.org/0000-0002-2012-3257"},"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"]},{"id":"https://openalex.org/I22265921","display_name":"National Central University","ror":"https://ror.org/00944ve71","country_code":"TW","type":"education","lineage":["https://openalex.org/I22265921"]},{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]},{"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":["CN","MO","SA","TW"],"is_corresponding":false,"raw_author_name":"Feng-Nan Hwang","raw_affiliation_strings":["\\dagger School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, China","\\P Extreme Computing Research Center, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia","\\ddagger Department of Mathematics, National Central University, Jhongli District, Taoyuan City 320317, Taiwan","\\S Faculty of Science and Technology, University of Macau, Macau, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\\dagger School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"\\P Extreme Computing Research Center, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"\\ddagger Department of Mathematics, National Central University, Jhongli District, Taoyuan City 320317, Taiwan","institution_ids":["https://openalex.org/I22265921"]},{"raw_affiliation_string":"\\S Faculty of Science and Technology, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101715435","display_name":"Li Luo","orcid":"https://orcid.org/0000-0002-3123-9132"},"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"]},{"id":"https://openalex.org/I22265921","display_name":"National Central University","ror":"https://ror.org/00944ve71","country_code":"TW","type":"education","lineage":["https://openalex.org/I22265921"]},{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]},{"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":["CN","MO","SA","TW"],"is_corresponding":false,"raw_author_name":"Li Luo","raw_affiliation_strings":["\\ddagger Department of Mathematics, National Central University, Jhongli District, Taoyuan City 320317, Taiwan","\\S Faculty of Science and Technology, University of Macau, Macau, China","\\P Extreme Computing Research Center, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia","\\dagger School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\\ddagger Department of Mathematics, National Central University, Jhongli District, Taoyuan City 320317, Taiwan","institution_ids":["https://openalex.org/I22265921"]},{"raw_affiliation_string":"\\S Faculty of Science and Technology, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]},{"raw_affiliation_string":"\\P Extreme Computing Research Center, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"\\dagger School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, China","institution_ids":["https://openalex.org/I36399199"]}]},{"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"]},{"id":"https://openalex.org/I22265921","display_name":"National Central University","ror":"https://ror.org/00944ve71","country_code":"TW","type":"education","lineage":["https://openalex.org/I22265921"]},{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]},{"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":["CN","MO","SA","TW"],"is_corresponding":false,"raw_author_name":"Xiao-Chuan Cai","raw_affiliation_strings":["\\dagger School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, China","\\ddagger Department of Mathematics, National Central University, Jhongli District, Taoyuan City 320317, Taiwan","\\P Extreme Computing Research Center, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia","\\S Faculty of Science and Technology, University of Macau, Macau, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\\dagger School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"\\ddagger Department of Mathematics, National Central University, Jhongli District, Taoyuan City 320317, Taiwan","institution_ids":["https://openalex.org/I22265921"]},{"raw_affiliation_string":"\\P Extreme Computing Research Center, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"\\S Faculty of Science and Technology, 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/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]},{"id":"https://openalex.org/I22265921","display_name":"National Central University","ror":"https://ror.org/00944ve71","country_code":"TW","type":"education","lineage":["https://openalex.org/I22265921"]},{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]},{"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":["CN","MO","SA","TW"],"is_corresponding":false,"raw_author_name":"David E. Keyes","raw_affiliation_strings":["\\S Faculty of Science and Technology, University of Macau, Macau, China","\\dagger School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, China","\\P Extreme Computing Research Center, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia","\\ddagger Department of Mathematics, National Central University, Jhongli District, Taoyuan City 320317, Taiwan"],"raw_orcid":"https://orcid.org/0000-0002-4052-7224","affiliations":[{"raw_affiliation_string":"\\S Faculty of Science and Technology, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]},{"raw_affiliation_string":"\\dagger School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"\\P Extreme Computing Research Center, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"\\ddagger Department of Mathematics, National Central University, Jhongli District, Taoyuan City 320317, Taiwan","institution_ids":["https://openalex.org/I22265921"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9927,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.84306591,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"44","issue":"3","first_page":"A1579","last_page":"A1605"},"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":0.9993000030517578,"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":0.9993000030517578,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9991000294685364,"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":0.9991000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7079529762268066},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7052246928215027},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.640972375869751},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.5928786396980286},{"id":"https://openalex.org/keywords/transonic","display_name":"Transonic","score":0.5766241550445557},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.5230711102485657},{"id":"https://openalex.org/keywords/newtons-method-in-optimization","display_name":"Newton's method in optimization","score":0.5187821388244629},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.5004329681396484},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46741652488708496},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4511439800262451},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4435775876045227},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41639935970306396},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4088035523891449},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.2806042730808258},{"id":"https://openalex.org/keywords/aerodynamics","display_name":"Aerodynamics","score":0.21511977910995483},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.07544934749603271}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7079529762268066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7052246928215027},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.640972375869751},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5928786396980286},{"id":"https://openalex.org/C103838597","wikidata":"https://www.wikidata.org/wiki/Q1579556","display_name":"Transonic","level":3,"score":0.5766241550445557},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.5230711102485657},{"id":"https://openalex.org/C179127668","wikidata":"https://www.wikidata.org/wiki/Q17086396","display_name":"Newton's method in optimization","level":4,"score":0.5187821388244629},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.5004329681396484},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46741652488708496},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4511439800262451},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4435775876045227},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41639935970306396},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4088035523891449},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.2806042730808258},{"id":"https://openalex.org/C13393347","wikidata":"https://www.wikidata.org/wiki/Q8424","display_name":"Aerodynamics","level":2,"score":0.21511977910995483},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.07544934749603271},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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},{"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:10.1137/21m1416138","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1416138","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:10754/679290","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/679290","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":[{"id":"https://metadata.un.org/sdg/10","score":0.44999998807907104,"display_name":"Reduced inequalities"}],"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/G2121945195","display_name":null,"funder_award_id":"11901296","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4572952968","display_name":null,"funder_award_id":"BK20180450","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322320","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1428340059","https://openalex.org/W1488582317","https://openalex.org/W1566323605","https://openalex.org/W1970125050","https://openalex.org/W1987619308","https://openalex.org/W1993251277","https://openalex.org/W1993548734","https://openalex.org/W2006867710","https://openalex.org/W2009121431","https://openalex.org/W2039789965","https://openalex.org/W2046673847","https://openalex.org/W2048199362","https://openalex.org/W2048369486","https://openalex.org/W2057231518","https://openalex.org/W2068193835","https://openalex.org/W2068484625","https://openalex.org/W2075087492","https://openalex.org/W2084073638","https://openalex.org/W2120494006","https://openalex.org/W2122824057","https://openalex.org/W2130756427","https://openalex.org/W2140153041","https://openalex.org/W2151777635","https://openalex.org/W2170489872","https://openalex.org/W2171303908","https://openalex.org/W2193930533","https://openalex.org/W2486813770","https://openalex.org/W2513236568","https://openalex.org/W2540191835","https://openalex.org/W2770488629","https://openalex.org/W2802932066","https://openalex.org/W2964995739","https://openalex.org/W2972383066","https://openalex.org/W2982320726","https://openalex.org/W3102441626","https://openalex.org/W3106950348","https://openalex.org/W3185558228","https://openalex.org/W4211094263"],"related_works":["https://openalex.org/W2350788688","https://openalex.org/W4297921956","https://openalex.org/W2951861326","https://openalex.org/W2387535608","https://openalex.org/W1985487460","https://openalex.org/W2380062341","https://openalex.org/W2026900827","https://openalex.org/W2358591430","https://openalex.org/W2031390949","https://openalex.org/W2799975713"],"abstract_inverted_index":{"A":[0],"nonlinear":[1,37,60,108,148],"elimination":[2,61],"preconditioned":[3],"inexact":[4,24,86],"Newton":[5,25,73,87],"(NEPIN)":[6],"algorithm":[7],"is":[8,126],"proposed":[9],"for":[10,51,70,94,150],"problems":[11],"with":[12,110],"localized":[13],"strong":[14],"nonlinearities.":[15],"Due":[16],"to":[17,42,128,132],"unbalanced":[18],"nonlinearities":[19],"(``nonlinear":[20],"stiffness''),":[21],"the":[22,33,36,47,52,71,141,146],"traditional":[23],"method":[26],"often":[27],"exhibits":[28],"a":[29,56,63,67,117,154],"long":[30],"plateau":[31],"in":[32],"norm":[34],"of":[35],"residual":[38,149],"or":[39,145],"even":[40,93],"fails":[41],"converge.":[43],"NEPIN":[44,79,103,125],"implicitly":[45],"removes":[46],"components":[48],"causing":[49],"trouble":[50],"global":[53,72,85],"convergence":[54,92],"through":[55],"correction":[57],"based":[58,139],"on":[59,116,140],"within":[62],"subspace":[64],"that":[65,78],"provides":[66],"modified":[68],"direction":[69],"iteration.":[74],"Numerical":[75],"experiments":[76],"show":[77],"can":[80],"be":[81,129],"more":[82],"robust":[83],"than":[84],"algorithms":[88],"and":[89,135],"maintain":[90],"fast":[91],"challenging":[95],"problems,":[96],"such":[97],"as":[98],"full":[99],"potential":[100],"transonic":[101,151],"flows.":[102],"complements":[104],"several":[105],"previously":[106],"studied":[107],"preconditioners":[109],"which":[111],"it":[112],"compares":[113],"favorably":[114],"experimentally":[115],"classic":[118],"shocked":[119],"duct":[120],"flow":[121,152],"problem":[122],"considered":[123],"herein.":[124],"shown":[127],"fairly":[130],"insensitive":[131],"mesh":[133],"resolution":[134],"\u201cbad\u201d":[136],"subproblem":[137],"identification":[138],"local":[142,147],"Mach":[143],"number":[144],"over":[153],"wing.":[155]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2}],"updated_date":"2026-06-13T07:54:00.901334","created_date":"2025-10-10T00:00:00"}
