{"id":"https://openalex.org/W7160313225","doi":"https://doi.org/10.1016/j.engappai.2026.114980","title":"Deep learning-driven preconditioned conjugate gradient method for finite element analysis","display_name":"Deep learning-driven preconditioned conjugate gradient method for finite element analysis","publication_year":2026,"publication_date":"2026-05-05","ids":{"openalex":"https://openalex.org/W7160313225","doi":"https://doi.org/10.1016/j.engappai.2026.114980"},"language":"en","primary_location":{"id":"doi:10.1016/j.engappai.2026.114980","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.engappai.2026.114980","pdf_url":null,"source":{"id":"https://openalex.org/S900972176","display_name":"Engineering Applications of Artificial Intelligence","issn_l":"0952-1976","issn":["0952-1976","1873-6769"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering Applications of Artificial Intelligence","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/A5135394801","display_name":"Zhike Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]},{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CA","CN"],"is_corresponding":false,"raw_author_name":"Zhike Guo","raw_affiliation_strings":["Geotechnical Research Centre, Department of Civil and Environmental Engineering, Western University, London, Canada","Key Laboratory of Urban Security and Disaster Engineering of Ministry of China Education, Beijing University of Technology, Beijing, 100124, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Geotechnical Research Centre, Department of Civil and Environmental Engineering, Western University, London, Canada","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"Key Laboratory of Urban Security and Disaster Engineering of Ministry of China Education, Beijing University of Technology, Beijing, 100124, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101571654","display_name":"Jiaxu Shen","orcid":"https://orcid.org/0000-0002-3697-3651"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiaxu Shen","raw_affiliation_strings":["Key Laboratory of Urban Security and Disaster Engineering of Ministry of China Education, Beijing University of Technology, Beijing, 100124, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Urban Security and Disaster Engineering of Ministry of China Education, Beijing University of Technology, Beijing, 100124, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102202732","display_name":"Mi Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mi Zhao","raw_affiliation_strings":["Key Laboratory of Urban Security and Disaster Engineering of Ministry of China Education, Beijing University of Technology, Beijing, 100124, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Urban Security and Disaster Engineering of Ministry of China Education, Beijing University of Technology, Beijing, 100124, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135391584","display_name":"M. Hesham El Naggar","orcid":"https://orcid.org/0000-0001-9366-0267"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"M. Hesham El Naggar","raw_affiliation_strings":["Geotechnical Research Centre, Department of Civil and Environmental Engineering, Western University, London, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Geotechnical Research Centre, Department of Civil and Environmental Engineering, Western University, London, Canada","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5135368803","display_name":"Xiuli Du","orcid":null},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuli Du","raw_affiliation_strings":["Key Laboratory of Urban Security and Disaster Engineering of Ministry of China Education, Beijing University of Technology, Beijing, 100124, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Urban Security and Disaster Engineering of Ministry of China Education, Beijing University of Technology, Beijing, 100124, China","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101571654"],"corresponding_institution_ids":["https://openalex.org/I37796252"],"apc_list":{"value":3170,"currency":"USD","value_usd":3170},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.65381435,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"177","issue":null,"first_page":"114980","last_page":"114980"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.5105000138282776,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.5105000138282776,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.1242000013589859,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.07729999721050262,"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/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.7659000158309937},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5931000113487244},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.4147000014781952},{"id":"https://openalex.org/keywords/conjugate-residual-method","display_name":"Conjugate residual method","score":0.37610000371932983},{"id":"https://openalex.org/keywords/nonlinear-conjugate-gradient-method","display_name":"Nonlinear conjugate gradient method","score":0.34450000524520874},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.3046000003814697}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.7659000158309937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7129999995231628},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5931000113487244},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44339999556541443},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.4147000014781952},{"id":"https://openalex.org/C91394653","wikidata":"https://www.wikidata.org/wiki/Q5161159","display_name":"Conjugate residual method","level":4,"score":0.37610000371932983},{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.34450000524520874},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3431999981403351},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33559998869895935},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.3046000003814697},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.29269999265670776},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.2849999964237213},{"id":"https://openalex.org/C198562538","wikidata":"https://www.wikidata.org/wiki/Q5262612","display_name":"Derivation of the conjugate gradient method","level":5,"score":0.26649999618530273},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2583000063896179},{"id":"https://openalex.org/C197336794","wikidata":"https://www.wikidata.org/wiki/Q5161150","display_name":"Conjugate","level":2,"score":0.2567000091075897}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.engappai.2026.114980","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.engappai.2026.114980","pdf_url":null,"source":{"id":"https://openalex.org/S900972176","display_name":"Engineering Applications of Artificial Intelligence","issn_l":"0952-1976","issn":["0952-1976","1873-6769"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering Applications of Artificial Intelligence","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"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":51,"referenced_works":["https://openalex.org/W1981220107","https://openalex.org/W1985896680","https://openalex.org/W2005390260","https://openalex.org/W2058485578","https://openalex.org/W2061698080","https://openalex.org/W2065721576","https://openalex.org/W2074556046","https://openalex.org/W2076249288","https://openalex.org/W2083904726","https://openalex.org/W2089099677","https://openalex.org/W2110013894","https://openalex.org/W2591856062","https://openalex.org/W2892088590","https://openalex.org/W2898644673","https://openalex.org/W2900261607","https://openalex.org/W2943571340","https://openalex.org/W2947332753","https://openalex.org/W3081006013","https://openalex.org/W3116013939","https://openalex.org/W3163523342","https://openalex.org/W3207033503","https://openalex.org/W4200382831","https://openalex.org/W4224290217","https://openalex.org/W4285585530","https://openalex.org/W4287224304","https://openalex.org/W4311256036","https://openalex.org/W4315647731","https://openalex.org/W4321495343","https://openalex.org/W4323050791","https://openalex.org/W4367835522","https://openalex.org/W4376870023","https://openalex.org/W4385258036","https://openalex.org/W4385911726","https://openalex.org/W4388688470","https://openalex.org/W4391451260","https://openalex.org/W4394589447","https://openalex.org/W4396946017","https://openalex.org/W4401241647","https://openalex.org/W4401560855","https://openalex.org/W4404066065","https://openalex.org/W4404402026","https://openalex.org/W4407363310","https://openalex.org/W4408235351","https://openalex.org/W4410732428","https://openalex.org/W4410909043","https://openalex.org/W4411036631","https://openalex.org/W4411167870","https://openalex.org/W4411580085","https://openalex.org/W4413916421","https://openalex.org/W4415569482","https://openalex.org/W4416321707"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2026-05-06T00:00:00"}