{"id":"https://openalex.org/W1538951169","doi":"https://doi.org/10.1109/iccad.2004.1382594","title":"Efficient full-chip thermal modeling and analysis","display_name":"Efficient full-chip thermal modeling and analysis","publication_year":2005,"publication_date":"2005-02-22","ids":{"openalex":"https://openalex.org/W1538951169","doi":"https://doi.org/10.1109/iccad.2004.1382594","mag":"1538951169"},"language":"en","primary_location":{"id":"doi:10.1109/iccad.2004.1382594","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccad.2004.1382594","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE/ACM International Conference on Computer Aided Design, 2004. ICCAD-2004.","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100432642","display_name":"Peng Li","orcid":"https://orcid.org/0000-0001-8633-9045"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]},{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peng Li","raw_affiliation_strings":["Department of Electrical Engineering, Texas A and M University, College Station, TX, USA","Dept. of Electr. & Comput. Eng., Carnegie Mellon Univ., Pittsburgh, PA, , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Texas A and M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Carnegie Mellon Univ., Pittsburgh, PA, , USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004024474","display_name":"Lawrence T. Pileggi","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L.T. Pileggi","raw_affiliation_strings":["Department of ECE, Carnegie Mellon University, Pittsburgh, PA, USA","Dept. of Electr. & Comput. Eng., Carnegie Mellon Univ., Pittsburgh, PA, , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of ECE, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Carnegie Mellon Univ., Pittsburgh, PA, , USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017971510","display_name":"Mehdi Asheghi","orcid":"https://orcid.org/0000-0002-2991-8523"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]},{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Asheghi","raw_affiliation_strings":["Department of ME, Carnegie Mellon University, Pittsburgh, PA, USA","Dept. of comput. Sci., California Univ., Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of ME, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Dept. of comput. Sci., California Univ., Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":null,"display_name":"R. Chandra","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]},{"id":"https://openalex.org/I4210100879","display_name":"Gradient (United States)","ror":"https://ror.org/014qf4206","country_code":"US","type":"company","lineage":["https://openalex.org/I4210100879"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"R. Chandra","raw_affiliation_strings":["Gradient Design Automation, Inc., Santa Clara, CA, USA","Dept. of Electr. & Comput. Eng., Toronto Univ., Ont., Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Gradient Design Automation, Inc., Santa Clara, CA, USA","institution_ids":["https://openalex.org/I4210100879"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Toronto Univ., Ont., Canada#TAB#","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":108,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"319","last_page":"326"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9994000196456909,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9972000122070312,"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/multigrid-method","display_name":"Multigrid method","score":0.8084362745285034},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6711854338645935},{"id":"https://openalex.org/keywords/chip","display_name":"Chip","score":0.6170780062675476},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.5159483551979065},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.4365490972995758},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.43509572744369507},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4120532274246216},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35621702671051025},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20627516508102417},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.1837557852268219},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1548427939414978}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.8084362745285034},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6711854338645935},{"id":"https://openalex.org/C165005293","wikidata":"https://www.wikidata.org/wiki/Q1074500","display_name":"Chip","level":2,"score":0.6170780062675476},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.5159483551979065},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.4365490972995758},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.43509572744369507},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4120532274246216},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35621702671051025},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20627516508102417},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.1837557852268219},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1548427939414978},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iccad.2004.1382594","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccad.2004.1382594","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE/ACM International Conference on Computer Aided Design, 2004. ICCAD-2004.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8899999856948853}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W65564217","https://openalex.org/W100767074","https://openalex.org/W1523603993","https://openalex.org/W1530872699","https://openalex.org/W1870398648","https://openalex.org/W1986545147","https://openalex.org/W1990333732","https://openalex.org/W1998461805","https://openalex.org/W2009250131","https://openalex.org/W2117656819","https://openalex.org/W2117959878","https://openalex.org/W2118955652","https://openalex.org/W2129021906","https://openalex.org/W2148495153","https://openalex.org/W2154857344","https://openalex.org/W2157558963","https://openalex.org/W2166808142","https://openalex.org/W2168713471","https://openalex.org/W2241115326","https://openalex.org/W2498157954","https://openalex.org/W4239055271","https://openalex.org/W4239466105","https://openalex.org/W4244658250","https://openalex.org/W4253995697","https://openalex.org/W6602628681","https://openalex.org/W6639198310","https://openalex.org/W6647822113"],"related_works":["https://openalex.org/W2077078424","https://openalex.org/W2182328658","https://openalex.org/W1519938374","https://openalex.org/W84272617","https://openalex.org/W613282331","https://openalex.org/W2092341060","https://openalex.org/W3000119417","https://openalex.org/W2020385488","https://openalex.org/W4391952019","https://openalex.org/W105006890"],"abstract_inverted_index":{"The":[0],"ever-increasing":[1],"power":[2],"consumption":[3],"and":[4,13,23,47,145,158,166,175],"packaging":[5],"density":[6],"of":[7,50,113,129,187,218],"integrated":[8],"systems":[9],"creates":[10],"on-chip":[11],"temperatures":[12],"gradients":[14,42],"that":[15,30,75,134,151],"can":[16,35,66,172],"have":[17],"a":[18,31,59,98,178,200,214],"substantial":[19],"impact":[20],"on":[21],"performance":[22],"reliability.":[24],"While":[25],"it":[26],"is":[27,76,87,135,196],"conceptually":[28],"understood":[29],"thermal":[32,105,132,143,155,180,194],"equivalent":[33,72,115],"circuit":[34,73,116],"be":[36,67],"constructed":[37],"to":[38,69,123,198],"characterize":[39],"the":[40,44,51,71,84,103,114,126,130,138,185,188],"temperature":[41],"across":[43,169],"chip,":[45],"direct":[46],"iterative":[48,64,100],"solutions":[49],"corresponding":[52],"3D":[53],"equations":[54],"are":[55],"often":[56],"intractable":[57,88],"for":[58,89,102,161],"full-chip":[60,91,104,131,179],"analysis.":[61],"Multigrid":[62],"accelerated":[63],"methods":[65],"applied":[68],"solve":[70,199],"problem":[74,86,133,202],"provably":[77],"symmetric":[78],"positive":[79],"definite;":[80],"however,":[81],"explicitly":[82],"building":[83],"matrix":[85],"most":[90],"problems.":[92],"In":[93],"This":[94],"work":[95],"we":[96,149,173],"present":[97],"multigrid":[99,121,164,190],"approach":[101],"analysis":[106],"which":[107],"does":[108],"not":[109],"require":[110],"explicit":[111],"construction":[112],"matrix.":[117],"We":[118],"propose":[119],"specific":[120],"treatments":[122],"cope":[124],"with":[125,153,203,213],"strong":[127],"anisotropy":[128],"created":[136],"by":[137],"vast":[139],"difference":[140],"in":[141,209],"material":[142],"properties":[144],"chip":[146],"geometries.":[147],"Importantly,":[148],"demonstrate":[150,184],"only":[152],"careful":[154],"modeling":[156],"assumptions":[157],"appropriate":[159],"choices":[160],"grid":[162,170],"hierarchy,":[163],"operators":[165],"smoothing":[167],"steps":[168],"points,":[171],"accurately":[174],"efficiently":[176],"analyze":[177],"problem.":[181],"Experimental":[182],"results":[183],"efficacy":[186],"proposed":[189],"methodology.":[191],"Our":[192],"prototyped":[193],"simulator":[195],"able":[197],"steady-state":[201],"more":[204],"than":[205],"10":[206],"million":[207],"unknowns":[208],"125":[210],"CPU":[211],"seconds":[212],"peak":[215],"memory":[216],"usage":[217],"231":[219],"mega":[220],"bytes.":[221]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
