{"id":"https://openalex.org/W1992696901","doi":"https://doi.org/10.1061/(asce)0733-9399(1983)109:2(576)","title":"Element\u2010by\u2010Element Implicit Algorithms for Heat Conduction","display_name":"Element\u2010by\u2010Element Implicit Algorithms for Heat Conduction","publication_year":1983,"publication_date":"1983-04-01","ids":{"openalex":"https://openalex.org/W1992696901","doi":"https://doi.org/10.1061/(asce)0733-9399(1983)109:2(576)","mag":"1992696901"},"language":"en","primary_location":{"id":"doi:10.1061/(asce)0733-9399(1983)109:2(576)","doi":"https://doi.org/10.1061/(asce)0733-9399(1983)109:2(576)","is_oa":false,"landing_page_url":"https://doi.org/10.1061/(asce)0733-9399(1983)109:2(576)","pdf_url":null,"source":{"id":"https://openalex.org/S160934207","display_name":"Journal of Engineering Mechanics","issn_l":"0733-9399","issn":["0733-9399","1943-7889"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315747","host_organization_name":"American Society of Civil Engineers","host_organization_lineage":["https://openalex.org/P4310315747"],"host_organization_lineage_names":["American Society of Civil Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Engineering Mechanics","raw_type":"journal-article"},"volume":null,"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/A5031451887","display_name":"Thomas J.R. Hughes","orcid":"https://orcid.org/0000-0001-7024-8368","observed_orcids":["https://orcid.org/0000-0001-7024-8368","https://orcid.org/0009-0008-4299-5145"]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas J. R. Hughes","raw_affiliation_strings":["Prof. of Mechanical Engrg., Div. of Applied Mechanics, Dept. of Mech. Engrg., Stanford Univ., Stanford, Calif. 94305"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Prof. of Mechanical Engrg., Div. of Applied Mechanics, Dept. of Mech. Engrg., Stanford Univ., Stanford, Calif. 94305","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071049327","display_name":"Itzhak Levit","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Itzhak Levit","raw_affiliation_strings":["Grad. Research Asst., Div. of Applied Mechanics, Dept. of Mech. Engrg., Stanford Univ., Stanford, Calif. 94305"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grad. Research Asst., Div. of Applied Mechanics, Dept. of Mech. Engrg., Stanford Univ., Stanford, Calif. 94305","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024550491","display_name":"James M. Winget","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James Winget","raw_affiliation_strings":["Grad. Research Asst., Div. of Applied Mechanics, Dept. of Mech. Engrg., Stanford Univ., Stanford, Calif. 94305"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grad. Research Asst., Div. of Applied Mechanics, Dept. of Mech. Engrg., Stanford Univ., Stanford, Calif. 94305","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":6.0954,"has_fulltext":false,"cited_by_count":77,"citation_normalized_percentile":{"value":0.96334281,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"109","issue":"2","first_page":"576","last_page":"585"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13116","display_name":"Heat Transfer and Numerical Methods","score":0.9643999934196472,"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/T13116","display_name":"Heat Transfer and Numerical Methods","score":0.9643999934196472,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.03060000017285347,"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":0.0015999999595806003,"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/heat-conduction","display_name":"heat conduction","score":0.9309999942779541},{"id":"https://openalex.org/keywords/unconditional-stability","display_name":"unconditional stability","score":0.9760000109672546},{"id":"https://openalex.org/keywords/computational-efficiency","display_name":"computational efficiency","score":0.7160000205039978}],"concepts":[{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.7526838779449463},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.7268690466880798},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5485608577728271},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5090265274047852},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44859209656715393},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44034257531166077},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32846421003341675},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1821373701095581},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1513541042804718},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14639726281166077},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1061/(asce)0733-9399(1983)109:2(576)","doi":"https://doi.org/10.1061/(asce)0733-9399(1983)109:2(576)","is_oa":false,"landing_page_url":"https://doi.org/10.1061/(asce)0733-9399(1983)109:2(576)","pdf_url":null,"source":{"id":"https://openalex.org/S160934207","display_name":"Journal of Engineering Mechanics","issn_l":"0733-9399","issn":["0733-9399","1943-7889"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315747","host_organization_name":"American Society of Civil Engineers","host_organization_lineage":["https://openalex.org/P4310315747"],"host_organization_lineage_names":["American Society of Civil Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Engineering Mechanics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W94995575","https://openalex.org/W104688703","https://openalex.org/W582593712","https://openalex.org/W2098973108","https://openalex.org/W2476097268","https://openalex.org/W4285719527","https://openalex.org/W4301259617"],"related_works":["https://openalex.org/W2089502303","https://openalex.org/W7009354740","https://openalex.org/W2053239527","https://openalex.org/W2044515477","https://openalex.org/W2330929597","https://openalex.org/W2326976290","https://openalex.org/W6902805846","https://openalex.org/W2073168606","https://openalex.org/W2044855494","https://openalex.org/W2006214570"],"abstract_inverted_index":{"A":[0],"new":[1,55],"type":[2],"of":[3,47,74,80],"element\u2010by\u2010element":[4],"implicit":[5,38],"algorithm":[6,14],"is":[7,15,51,72],"proposed":[8],"for":[9],"heat":[10,60],"conduction":[11,61],"analysis.":[12],"The":[13],"shown":[16],"to":[17,63],"be":[18,64],"unconditionally":[19],"stable,":[20],"but":[21],"does":[22],"not":[23],"involve":[24],"a":[25],"global":[26],"coefficient":[27],"matrix.":[28],"Consequently,":[29],"there":[30],"are":[31],"considerable":[32],"operation":[33],"count":[34],"advantages":[35],"over":[36],"typical":[37],"schemes.":[39],"Numerical":[40],"test":[41],"examples":[42],"indicate":[43],"the":[44,48,54,83],"good":[45],"behavior":[46],"method.":[49],"It":[50],"believed":[52],"that":[53],"approach":[56],"will":[57],"enable":[58],"large":[59],"calculations":[62],"performed":[65],"much":[66],"more":[67],"economically":[68],"than":[69],"heretofore":[70],"and":[71,82],"suggestive":[73],"related":[75],"developments":[76],"in":[77],"other":[78],"areas":[79],"engineering":[81],"physical":[84],"sciences.":[85]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}