{"id":"https://openalex.org/W2975937460","doi":"https://doi.org/10.1109/tvlsi.2019.2940197","title":"Fast Analytic Electromigration Analysis for General Multisegment Interconnect Wires","display_name":"Fast Analytic Electromigration Analysis for General Multisegment Interconnect Wires","publication_year":2019,"publication_date":"2019-09-28","ids":{"openalex":"https://openalex.org/W2975937460","doi":"https://doi.org/10.1109/tvlsi.2019.2940197","mag":"2975937460"},"language":"en","primary_location":{"id":"doi:10.1109/tvlsi.2019.2940197","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvlsi.2019.2940197","pdf_url":null,"source":{"id":"https://openalex.org/S37538908","display_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","issn_l":"1063-8210","issn":["1063-8210","1557-9999"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","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/A5085097914","display_name":"Liang Chen","orcid":"https://orcid.org/0000-0002-5373-0328"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Liang Chen","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California at Riverside, Riverside, USA","Key Laboratory of Ministry of Education of China for Research of Design and Electromagnetic Compatibility of High Speed Electronic Systems, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-5373-0328","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California at Riverside, Riverside, USA","institution_ids":["https://openalex.org/I103635307"]},{"raw_affiliation_string":"Key Laboratory of Ministry of Education of China for Research of Design and Electromagnetic Compatibility of High Speed Electronic Systems, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058844682","display_name":"Sheldon X.-D. Tan","orcid":"https://orcid.org/0000-0003-2119-6869"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sheldon X.-D. Tan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California at Riverside, Riverside, USA"],"raw_orcid":"https://orcid.org/0000-0003-2119-6869","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California at Riverside, Riverside, USA","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027081374","display_name":"Zeyu Sun","orcid":"https://orcid.org/0000-0001-7465-1824"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zeyu Sun","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California at Riverside, Riverside, USA"],"raw_orcid":"https://orcid.org/0000-0001-7465-1824","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California at Riverside, Riverside, USA","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040952356","display_name":"Shaoyi Peng","orcid":"https://orcid.org/0000-0001-9963-1504"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shaoyi Peng","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California at Riverside, Riverside, USA"],"raw_orcid":"https://orcid.org/0000-0001-9963-1504","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California at Riverside, Riverside, USA","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089445782","display_name":"Min Tang","orcid":"https://orcid.org/0000-0002-0716-912X"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Tang","raw_affiliation_strings":["Key Laboratory of Ministry of Education of China for Research of Design and Electromagnetic Compatibility of High Speed Electronic Systems, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-0716-912X","affiliations":[{"raw_affiliation_string":"Key Laboratory of Ministry of Education of China for Research of Design and Electromagnetic Compatibility of High Speed Electronic Systems, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036116982","display_name":"Junfa Mao","orcid":"https://orcid.org/0000-0002-9857-535X"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junfa Mao","raw_affiliation_strings":["Key Laboratory of Ministry of Education of China for Research of Design and Electromagnetic Compatibility of High Speed Electronic Systems, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-9857-535X","affiliations":[{"raw_affiliation_string":"Key Laboratory of Ministry of Education of China for Research of Design and Electromagnetic Compatibility of High Speed Electronic Systems, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1615,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.76883091,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"28","issue":"2","first_page":"421","last_page":"432"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11661","display_name":"Copper Interconnects and Reliability","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11661","display_name":"Copper Interconnects and Reliability","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10460","display_name":"Electronic Packaging and Soldering Technologies","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10472","display_name":"Semiconductor materials and devices","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/electromigration","display_name":"Electromigration","score":0.8278413414955139},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7147509455680847},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.5567975640296936},{"id":"https://openalex.org/keywords/gaussian-elimination","display_name":"Gaussian elimination","score":0.5524680018424988},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5382015705108643},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4781975746154785},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.4642553925514221},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4560307562351227},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4498903751373291},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4113101363182068},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.39826884865760803},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3650074303150177},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3122018575668335},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14965888857841492},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.12921783328056335},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.1083495020866394}],"concepts":[{"id":"https://openalex.org/C138055206","wikidata":"https://www.wikidata.org/wiki/Q1319010","display_name":"Electromigration","level":2,"score":0.8278413414955139},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7147509455680847},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.5567975640296936},{"id":"https://openalex.org/C126312332","wikidata":"https://www.wikidata.org/wiki/Q2658","display_name":"Gaussian elimination","level":3,"score":0.5524680018424988},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5382015705108643},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4781975746154785},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.4642553925514221},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4560307562351227},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4498903751373291},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4113101363182068},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.39826884865760803},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3650074303150177},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3122018575668335},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14965888857841492},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.12921783328056335},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1083495020866394},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvlsi.2019.2940197","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvlsi.2019.2940197","pdf_url":null,"source":{"id":"https://openalex.org/S37538908","display_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","issn_l":"1063-8210","issn":["1063-8210","1557-9999"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1710458826","display_name":null,"funder_award_id":"CCF-1816361","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G542091280","display_name":null,"funder_award_id":"OISE-1854276","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6660498235","display_name":null,"funder_award_id":"CCF-1527324","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8407610474","display_name":null,"funder_award_id":"201806230078","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W2017231831","https://openalex.org/W2024267036","https://openalex.org/W2025051431","https://openalex.org/W2025613766","https://openalex.org/W2030653793","https://openalex.org/W2038205735","https://openalex.org/W2065985517","https://openalex.org/W2081786181","https://openalex.org/W2083090974","https://openalex.org/W2093932806","https://openalex.org/W2123268578","https://openalex.org/W2150608324","https://openalex.org/W2152275551","https://openalex.org/W2293477573","https://openalex.org/W2295208369","https://openalex.org/W2342660339","https://openalex.org/W2343272038","https://openalex.org/W2394569310","https://openalex.org/W2534634653","https://openalex.org/W2554597037","https://openalex.org/W2587645287","https://openalex.org/W2613570260","https://openalex.org/W2753722292","https://openalex.org/W2766879491","https://openalex.org/W2771484111","https://openalex.org/W2791362638","https://openalex.org/W2792413301","https://openalex.org/W2792466411","https://openalex.org/W2809611082","https://openalex.org/W2886791359","https://openalex.org/W2894599826","https://openalex.org/W2972350156","https://openalex.org/W4232263905","https://openalex.org/W4238850654","https://openalex.org/W4246615862","https://openalex.org/W6728652710","https://openalex.org/W6737998324"],"related_works":["https://openalex.org/W2004615523","https://openalex.org/W2055638565","https://openalex.org/W2138118262","https://openalex.org/W2542708587","https://openalex.org/W4229007131","https://openalex.org/W2364197307","https://openalex.org/W4381800218","https://openalex.org/W2136403807","https://openalex.org/W796810817","https://openalex.org/W4210382808"],"abstract_inverted_index":{"Electromigration":[0],"(EM)":[1],"is":[2,110,185,228],"considered":[3],"to":[4,32,55,139,205,213,245],"be":[5],"one":[6],"of":[7,50,60,65,92,99,107,116,145,173,197,217,257],"the":[8,34,38,47,57,61,73,81,90,93,97,100,105,121,127,141,151,166,170,174,186,191,199,215,218,240,249],"most":[9],"important":[10],"reliability":[11],"issues":[12],"for":[13,126],"current":[14],"and":[15,21,112,131,184,232,239],"future":[16],"ICs":[17],"in":[18,37,67,150,190],"10-nm":[19],"technology":[20],"below.":[22],"In":[23],"this":[24],"article,":[25],"we":[26,87,156,203],"propose":[27,157,204],"a":[28,103,158,225,255],"fast":[29],"analytic":[30,58],"solution":[31,94,193,253],"compute":[33],"stress":[35,66],"evolution":[36],"confined":[39,68],"multisegment":[40,130,258],"interconnect":[41,69],"wires.":[42],"The":[43],"new":[44],"method,":[45,53],"called":[46],"accelerated":[48],"separation":[49],"variables":[51],"(ASOV)":[52],"aims":[54],"find":[56,214],"solutions":[59],"partial":[62],"differential":[63],"equations":[64],"metals":[70],"based":[71],"on":[72,96,235,254],"SOV":[74,123,153],"method.":[75,85,124,154],"It":[76],"offers":[77],"several":[78],"improvements":[79],"over":[80,248],"existing":[82,122,152,250],"plain":[83,251],"SOV-based":[84,192,252],"First,":[86],"show":[88,223],"that":[89,224],"accuracy":[91],"depends":[95],"structure":[98,111,168],"interconnects.":[101],"As":[102],"result,":[104],"number":[106,256],"required":[108],"eigenvalues":[109,142,216],"problem":[113],"dependent,":[114],"instead":[115,144,196],"fixed":[117],"numbers":[118],"used":[119],"by":[120,164],"Second,":[125],"straight":[128],"line":[129],"star-structured":[132],"multiterminal":[133],"interconnects,":[134],"analytical":[135,231],"expressions":[136],"are":[137],"formulated":[138],"calculate":[140],"directly":[143],"using":[146,198],"numerical":[147,233],"methods":[148],"as":[149],"Third,":[155],"linear":[159],"Gaussian":[160],"elimination":[161],"(GE)":[162],"algorithm":[163,242],"exploiting":[165],"banded":[167],"with":[169],"serrated-edge":[171],"form":[172],"transcendental":[175,219],"matrix,":[176],"which":[177],"can":[178,243],"significantly":[179],"speed":[180],"up":[181],"GE":[182],"process,":[183],"key":[187],"computing":[188],"step":[189],"framework.":[194],"Fourth,":[195],"simple":[200],"bisection":[201],"search,":[202],"use":[206],"an":[207],"enhanced":[208],"determinant-based":[209],"secant":[210],"iterative":[211],"method":[212],"matrix.":[220],"Numerical":[221],"results":[222,234],"good":[226],"agreement":[227],"achieved":[229],"between":[230],"two":[236],"special":[237],"cases,":[238],"resulting":[241],"lead":[244],"3-5X":[246],"speedup":[247],"interconnects":[259],"benchmarks.":[260]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}