{"id":"https://openalex.org/W4402764880","doi":"https://doi.org/10.3390/a17100424","title":"Structural Reliability Analysis Using Stochastic Finite Element Method Based on Krylov Subspace","display_name":"Structural Reliability Analysis Using Stochastic Finite Element Method Based on Krylov Subspace","publication_year":2024,"publication_date":"2024-09-24","ids":{"openalex":"https://openalex.org/W4402764880","doi":"https://doi.org/10.3390/a17100424"},"language":"en","primary_location":{"id":"doi:10.3390/a17100424","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17100424","pdf_url":"https://www.mdpi.com/1999-4893/17/10/424/pdf?version=1727143861","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/17/10/424/pdf?version=1727143861","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107938193","display_name":"J Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I159389169","display_name":"Ningbo University of Technology","ror":"https://ror.org/037dym702","country_code":"CN","type":"education","lineage":["https://openalex.org/I159389169"]},{"id":"https://openalex.org/I4210090631","display_name":"Ningbo Transportation Planning and Design Institute (China)","ror":"https://ror.org/0013rer79","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210090631"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianyun Huang","raw_affiliation_strings":["Engineering Research Center of Industrial Construction in Civil Engineering of Zhejiang, Ningbo University of Technology, Ningbo 315211, China","Ningbo Communications Engineering Construction Group Co., Ltd., Ningbo 315000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Engineering Research Center of Industrial Construction in Civil Engineering of Zhejiang, Ningbo University of Technology, Ningbo 315211, China","institution_ids":["https://openalex.org/I159389169"]},{"raw_affiliation_string":"Ningbo Communications Engineering Construction Group Co., Ltd., Ningbo 315000, China","institution_ids":["https://openalex.org/I4210090631"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045400952","display_name":"Qiuwei Yang","orcid":"https://orcid.org/0000-0001-9346-5373"},"institutions":[{"id":"https://openalex.org/I159389169","display_name":"Ningbo University of Technology","ror":"https://ror.org/037dym702","country_code":"CN","type":"education","lineage":["https://openalex.org/I159389169"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiuwei Yang","raw_affiliation_strings":["Engineering Research Center of Industrial Construction in Civil Engineering of Zhejiang, Ningbo University of Technology, Ningbo 315211, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Engineering Research Center of Industrial Construction in Civil Engineering of Zhejiang, Ningbo University of Technology, Ningbo 315211, China","institution_ids":["https://openalex.org/I159389169"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108505505","display_name":"Hongfei Cao","orcid":null},"institutions":[{"id":"https://openalex.org/I159389169","display_name":"Ningbo University of Technology","ror":"https://ror.org/037dym702","country_code":"CN","type":"education","lineage":["https://openalex.org/I159389169"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongfei Cao","raw_affiliation_strings":["Engineering Research Center of Industrial Construction in Civil Engineering of Zhejiang, Ningbo University of Technology, Ningbo 315211, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Engineering Research Center of Industrial Construction in Civil Engineering of Zhejiang, Ningbo University of Technology, Ningbo 315211, China","institution_ids":["https://openalex.org/I159389169"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102057447","display_name":"Jiwei Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I159389169","display_name":"Ningbo University of Technology","ror":"https://ror.org/037dym702","country_code":"CN","type":"education","lineage":["https://openalex.org/I159389169"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiwei Ma","raw_affiliation_strings":["Engineering Research Center of Industrial Construction in Civil Engineering of Zhejiang, Ningbo University of Technology, Ningbo 315211, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Engineering Research Center of Industrial Construction in Civil Engineering of Zhejiang, Ningbo University of Technology, Ningbo 315211, China","institution_ids":["https://openalex.org/I159389169"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045400952"],"corresponding_institution_ids":["https://openalex.org/I159389169"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.7009,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.75464491,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"17","issue":"10","first_page":"424","last_page":"424"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T10396","display_name":"Fatigue and fracture mechanics","score":0.9873999953269958,"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/krylov-subspace","display_name":"Krylov subspace","score":0.9078925251960754},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6889917850494385},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5971149206161499},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.5470585823059082},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5256180167198181},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5152252316474915},{"id":"https://openalex.org/keywords/structural-reliability","display_name":"Structural reliability","score":0.42318400740623474},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4174948036670685},{"id":"https://openalex.org/keywords/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.4109208583831787},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3966137170791626},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.283875435590744},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.14652913808822632},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.09545600414276123},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09195268154144287},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07798272371292114},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.07637414336204529}],"concepts":[{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.9078925251960754},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6889917850494385},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5971149206161499},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.5470585823059082},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5256180167198181},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5152252316474915},{"id":"https://openalex.org/C2987092418","wikidata":"https://www.wikidata.org/wiki/Q62517323","display_name":"Structural reliability","level":3,"score":0.42318400740623474},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4174948036670685},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.4109208583831787},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3966137170791626},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.283875435590744},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.14652913808822632},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.09545600414276123},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09195268154144287},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07798272371292114},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.07637414336204529},{"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/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a17100424","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17100424","pdf_url":"https://www.mdpi.com/1999-4893/17/10/424/pdf?version=1727143861","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3c2cddb5caba4237a8bd67e7063b51fd","is_oa":true,"landing_page_url":"https://doaj.org/article/3c2cddb5caba4237a8bd67e7063b51fd","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 17, Iss 10, p 424 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a17100424","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17100424","pdf_url":"https://www.mdpi.com/1999-4893/17/10/424/pdf?version=1727143861","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3960296231","display_name":"UHPC-CRAC\u5939\u82af\u6865\u9762\u677f\u5f2f\u66f2\u627f\u8f7d\u673a\u7406\u4e0e\u8ba1\u7b97\u65b9\u6cd5\u7814\u7a76","funder_award_id":"LY24E080010","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G5039842245","display_name":null,"funder_award_id":"LGF22E080021","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G5982004","display_name":null,"funder_award_id":"LGF22E080021","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"},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402764880.pdf","grobid_xml":"https://content.openalex.org/works/W4402764880.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W2037116137","https://openalex.org/W2067462560","https://openalex.org/W2120691232","https://openalex.org/W2620532764","https://openalex.org/W2983977835","https://openalex.org/W3040733456","https://openalex.org/W3082833646","https://openalex.org/W3083405355","https://openalex.org/W3091108589","https://openalex.org/W3091998196","https://openalex.org/W3108173890","https://openalex.org/W3110284174","https://openalex.org/W3119914866","https://openalex.org/W3145898892","https://openalex.org/W3209199687","https://openalex.org/W3217291690","https://openalex.org/W4289260790","https://openalex.org/W4296354117","https://openalex.org/W4310968331","https://openalex.org/W4312258136","https://openalex.org/W4313594547","https://openalex.org/W4315865757","https://openalex.org/W4319593228","https://openalex.org/W4321019795","https://openalex.org/W4385430738","https://openalex.org/W4387910522","https://openalex.org/W4389398642","https://openalex.org/W4390544251","https://openalex.org/W4392005483","https://openalex.org/W4398131411","https://openalex.org/W4400235099","https://openalex.org/W6678395098"],"related_works":["https://openalex.org/W2042846224","https://openalex.org/W2942315554","https://openalex.org/W2358905935","https://openalex.org/W2804461272","https://openalex.org/W2040391781","https://openalex.org/W3134028852","https://openalex.org/W2375237787","https://openalex.org/W1930195566","https://openalex.org/W4287116713","https://openalex.org/W139641880"],"abstract_inverted_index":{"The":[0,39,64,148],"stochastic":[1,21,139,153,169],"finite":[2,22,140,154,170],"element":[3,23,141,155,171],"method":[4,24,45,70,136,142,156,172],"is":[5,30,46,71,91,162],"an":[6],"important":[7],"tool":[8],"for":[9,32],"structural":[10],"reliability":[11,35],"analysis.":[12],"In":[13],"order":[14],"to":[15,47,55,72,101,117,132],"improve":[16],"the":[17,27,33,43,49,57,61,68,79,85,103,118,134,138,145,152,159,168,175],"calculation":[18],"efficiency,":[19],"a":[20,74,94,106],"based":[25,77,143,157,173],"on":[26,78,144,158,174],"Krylov":[28,75,160],"subspace":[29,76,98,161],"proposed":[31,44,69,135],"static":[34,50,81,86,119],"analysis":[36],"of":[37,42,60,67,88,97,105,124],"structures.":[38],"first":[40],"step":[41,66],"preprocess":[48],"response":[51,82,120],"equation":[52],"considering":[53],"randomness":[54],"reduce":[56],"condition":[58],"number":[59],"coefficient":[62],"matrix.":[63],"second":[65],"construct":[73],"preprocessed":[80],"equation.":[83],"Then,":[84],"displacement":[87],"random":[89,125],"sampling":[90],"expressed":[92],"as":[93],"linear":[95],"combination":[96],"basis":[99],"vectors":[100],"achieve":[102],"purpose":[104],"fast":[107],"solution.":[108],"Finally,":[109],"statistics":[110],"and":[111,165],"failure":[112],"probability":[113],"are":[114,130],"calculated":[115],"according":[116],"obtained":[121],"from":[122],"thousands":[123],"samples.":[126],"Three":[127],"numerical":[128],"examples":[129],"given":[131],"compare":[133],"with":[137],"Neumann":[146,176],"series.":[147,177],"results":[149],"show":[150],"that":[151],"more":[163],"accurate":[164],"efficient":[166],"than":[167]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-07-13T07:31:44.756512","created_date":"2025-10-10T00:00:00"}
