{"id":"https://openalex.org/W2079472602","doi":"https://doi.org/10.1145/1995896.1995924","title":"Modeling the performance of an algebraic multigrid cycle on HPC platforms","display_name":"Modeling the performance of an algebraic multigrid cycle on HPC platforms","publication_year":2011,"publication_date":"2011-05-31","ids":{"openalex":"https://openalex.org/W2079472602","doi":"https://doi.org/10.1145/1995896.1995924","mag":"2079472602"},"language":"en","primary_location":{"id":"doi:10.1145/1995896.1995924","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1995896.1995924","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the international conference on Supercomputing","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/A5043467566","display_name":"Hormozd Gahvari","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hormozd Gahvari","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Urbana, IL, USA","University of Illinois at Urbana/Champaign, Urbana, IL, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois at Urbana/Champaign, Urbana, IL, USA#TAB#","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067337048","display_name":"Allison H. Baker","orcid":"https://orcid.org/0000-0003-2436-7838"},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Allison H. Baker","raw_affiliation_strings":["Lawrence Livermore National Laboratory, Livermore, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Livermore National Laboratory, Livermore, CA, USA","institution_ids":["https://openalex.org/I1282311441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045289712","display_name":"Martin Schulz","orcid":"https://orcid.org/0000-0001-9013-435X"},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Martin Schulz","raw_affiliation_strings":["Lawrence Livermore National Laboratory, Livermore, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Livermore National Laboratory, Livermore, CA, USA","institution_ids":["https://openalex.org/I1282311441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067370556","display_name":"Ulrike Meier Yang","orcid":"https://orcid.org/0000-0002-6957-0445"},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ulrike Meier Yang","raw_affiliation_strings":["Lawrence Livermore National Laboratory, Livermore, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Livermore National Laboratory, Livermore, CA, USA","institution_ids":["https://openalex.org/I1282311441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040280528","display_name":"Kirk E. Jordan","orcid":"https://orcid.org/0000-0001-5148-4437"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kirk E. Jordan","raw_affiliation_strings":["IBM TJ Watson Research Center, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM TJ Watson Research Center, Cambridge, MA, USA","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017241944","display_name":"William Gropp","orcid":"https://orcid.org/0000-0003-2905-3029"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William Gropp","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Urbana, IL, USA","University of Illinois at Urbana/Champaign, Urbana, IL, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois at Urbana/Champaign, Urbana, IL, USA#TAB#","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":85,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"172","last_page":"181"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/multigrid-method","display_name":"Multigrid method","score":0.837881326675415},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8268431425094604},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.7852112650871277},{"id":"https://openalex.org/keywords/massively-parallel","display_name":"Massively parallel","score":0.7653619050979614},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.7462029457092285},{"id":"https://openalex.org/keywords/parallelism","display_name":"Parallelism (grammar)","score":0.6447763442993164},{"id":"https://openalex.org/keywords/supercomputer","display_name":"Supercomputer","score":0.5855693817138672},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5776498317718506},{"id":"https://openalex.org/keywords/computer-architecture","display_name":"Computer architecture","score":0.49495357275009155},{"id":"https://openalex.org/keywords/exascale-computing","display_name":"Exascale computing","score":0.4785504937171936},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3871641159057617},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.34369683265686035},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14012262225151062},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08852386474609375},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.07821530103683472}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.837881326675415},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8268431425094604},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.7852112650871277},{"id":"https://openalex.org/C190475519","wikidata":"https://www.wikidata.org/wiki/Q544384","display_name":"Massively parallel","level":2,"score":0.7653619050979614},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.7462029457092285},{"id":"https://openalex.org/C2781172179","wikidata":"https://www.wikidata.org/wiki/Q853109","display_name":"Parallelism (grammar)","level":2,"score":0.6447763442993164},{"id":"https://openalex.org/C83283714","wikidata":"https://www.wikidata.org/wiki/Q121117","display_name":"Supercomputer","level":2,"score":0.5855693817138672},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5776498317718506},{"id":"https://openalex.org/C118524514","wikidata":"https://www.wikidata.org/wiki/Q173212","display_name":"Computer architecture","level":1,"score":0.49495357275009155},{"id":"https://openalex.org/C2778837361","wikidata":"https://www.wikidata.org/wiki/Q2450880","display_name":"Exascale computing","level":3,"score":0.4785504937171936},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3871641159057617},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.34369683265686035},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14012262225151062},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08852386474609375},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.07821530103683472},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1995896.1995924","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1995896.1995924","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the international conference on Supercomputing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W63141727","https://openalex.org/W309890564","https://openalex.org/W1651687773","https://openalex.org/W1774469134","https://openalex.org/W1961194538","https://openalex.org/W1968522704","https://openalex.org/W2014850133","https://openalex.org/W2017217780","https://openalex.org/W2030553163","https://openalex.org/W2039789965","https://openalex.org/W2048748322","https://openalex.org/W2053453729","https://openalex.org/W2113691861","https://openalex.org/W2132958419","https://openalex.org/W2136434791","https://openalex.org/W2521525968","https://openalex.org/W2533204039","https://openalex.org/W2945154147","https://openalex.org/W4253641612","https://openalex.org/W6602555841"],"related_works":["https://openalex.org/W1970172627","https://openalex.org/W4323043748","https://openalex.org/W2026855204","https://openalex.org/W2540977105","https://openalex.org/W3217108803","https://openalex.org/W4308235368","https://openalex.org/W4301025548","https://openalex.org/W2523669389","https://openalex.org/W2079472602","https://openalex.org/W2132395558"],"abstract_inverted_index":{"Now":[0],"that":[1,81],"the":[2,23,28,36,89],"performance":[3,46,105,115],"of":[4,25],"individual":[5],"cores":[6],"has":[7],"plateaued,":[8],"future":[9,98],"supercomputers":[10],"will":[11,32],"depend":[12],"upon":[13],"increasing":[14],"parallelism":[15],"for":[16,27,76,91,107],"performance.":[17],"Processor":[18],"counts":[19],"are":[20],"now":[21],"in":[22,35,84],"hundreds":[24],"thousands":[26],"largest":[29],"machines":[30],"and":[31,50,71,97,101],"soon":[33],"be":[34,57],"millions.":[37],"There":[38],"is":[39,82],"an":[40,108],"urgent":[41],"need":[42,55],"to":[43,51,56,59],"model":[44,106],"application":[45],"at":[47],"these":[48],"scales":[49],"understand":[52],"what":[53],"changes":[54],"made":[58],"ensure":[60],"continued":[61],"scalability.":[62],"This":[63],"paper":[64],"considers":[65],"algebraic":[66],"multigrid":[67],"(AMG),":[68],"a":[69,104],"popular":[70],"highly":[72],"efficient":[73],"iterative":[74],"solver":[75],"large":[77],"sparse":[78],"linear":[79],"systems":[80],"used":[83],"many":[85],"applications.":[86],"We":[87],"discuss":[88],"challenges":[90],"AMG":[92,109],"on":[93,117],"current":[94],"parallel":[95],"computers":[96],"exascale":[99],"architectures,":[100],"we":[102],"present":[103],"solve":[110],"cycle":[111],"as":[112,114],"well":[113],"measurements":[116],"several":[118],"massively-parallel":[119],"platforms.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":7}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
