{"id":"https://openalex.org/W2152914333","doi":"https://doi.org/10.1177/1094342004041295","title":"Cache-Efficient Multigrid Algorithms","display_name":"Cache-Efficient Multigrid Algorithms","publication_year":2004,"publication_date":"2004-02-01","ids":{"openalex":"https://openalex.org/W2152914333","doi":"https://doi.org/10.1177/1094342004041295","mag":"2152914333"},"language":"en","primary_location":{"id":"doi:10.1177/1094342004041295","is_oa":false,"landing_page_url":"https://doi.org/10.1177/1094342004041295","pdf_url":null,"source":{"id":"https://openalex.org/S60606485","display_name":"The International Journal of High Performance Computing Applications","issn_l":"1094-3420","issn":["1094-3420","1741-2846"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of High Performance Computing Applications","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/A5012651374","display_name":"Sriram Sellappa","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sriram Sellappa","raw_affiliation_strings":["ANDIAMO SYSTEMS INC. SAN JOSE, CA 95134, USA"],"affiliations":[{"raw_affiliation_string":"ANDIAMO SYSTEMS INC. SAN JOSE, CA 95134, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101930377","display_name":"Siddhartha Chatterjee","orcid":"https://orcid.org/0000-0003-3100-7793"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Siddhartha Chatterjee","raw_affiliation_strings":["IBM T. J. WATSON RESEARCH CENTER YORKTOWN HEIGHTS, NY 10598, USA"],"affiliations":[{"raw_affiliation_string":"IBM T. J. WATSON RESEARCH CENTER YORKTOWN HEIGHTS, NY 10598, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012651374"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8963,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.90578103,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"18","issue":"1","first_page":"115","last_page":"133"},"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/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9973000288009644,"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":0.9901999831199646,"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":0.9319136738777161},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.645551860332489},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5614212155342102},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5564374923706055},{"id":"https://openalex.org/keywords/cache","display_name":"Cache","score":0.513456404209137},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5058538317680359},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4913159906864166},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4561329483985901},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4293050765991211},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.358253538608551},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2750976085662842},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.08177608251571655},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07110768556594849}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.9319136738777161},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.645551860332489},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5614212155342102},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5564374923706055},{"id":"https://openalex.org/C115537543","wikidata":"https://www.wikidata.org/wiki/Q165596","display_name":"Cache","level":2,"score":0.513456404209137},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5058538317680359},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4913159906864166},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4561329483985901},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4293050765991211},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.358253538608551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2750976085662842},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.08177608251571655},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07110768556594849},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1177/1094342004041295","is_oa":false,"landing_page_url":"https://doi.org/10.1177/1094342004041295","pdf_url":null,"source":{"id":"https://openalex.org/S60606485","display_name":"The International Journal of High Performance Computing Applications","issn_l":"1094-3420","issn":["1094-3420","1741-2846"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of High Performance Computing Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.294.8192","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.294.8192","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.unc.edu/techreports/00-014.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.4000000059604645,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320330412","display_name":"Scheme for Promotion of Academic and Research Collaboration","ror":null},{"id":"https://openalex.org/F4320332600","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1514622676","https://openalex.org/W1530872699","https://openalex.org/W1554991828","https://openalex.org/W1589646238","https://openalex.org/W1605045777","https://openalex.org/W1774469134","https://openalex.org/W1997542937","https://openalex.org/W2020214444","https://openalex.org/W2032732648","https://openalex.org/W2056971515","https://openalex.org/W2063249715","https://openalex.org/W2083696112","https://openalex.org/W2098220211","https://openalex.org/W2100928955","https://openalex.org/W2119609467","https://openalex.org/W2138166974","https://openalex.org/W2167296849","https://openalex.org/W2603489334","https://openalex.org/W2752451204","https://openalex.org/W3007489767","https://openalex.org/W4249066449"],"related_works":["https://openalex.org/W2573021234","https://openalex.org/W2106610492","https://openalex.org/W2171218546","https://openalex.org/W2901773673","https://openalex.org/W2020385488","https://openalex.org/W4391952019","https://openalex.org/W2133366228","https://openalex.org/W1604758548","https://openalex.org/W2543276709","https://openalex.org/W105006890"],"abstract_inverted_index":{"Multigrid":[0,154],"is":[1],"widely":[2],"used":[3],"as":[4,25],"an":[5],"efficient":[6],"solver":[7],"for":[8,52],"sparse":[9],"linear":[10,81,89,124],"systems":[11,125],"arising":[12,126],"from":[13,93,127],"the":[14,31,43,64,76,80,97,107],"discretization":[15],"of":[16,35,45,56,63,79,99,109,145,152],"elliptic":[17,130],"boundary":[18],"value":[19],"problems.":[20],"Linear":[21],"relaxation":[22,82,90],"methods":[23],"such":[24],"Gauss\u2013Seidel":[26,29],"and":[27,37,102,105],"Red\u2013Black":[28],"form":[30],"principal":[32],"computational":[33],"component":[34],"multigrid,":[36,46],"thus":[38],"affect":[39],"its":[40],"efficiency.":[41],"In":[42],"context":[44],"these":[47],"iterative":[48],"solvers":[49],"are":[50,118],"executed":[51],"a":[53,68,142,149],"small":[54],"number":[55,98,108],"iterations":[57],"(2\u20138).":[58],"We":[59],"exploit":[60],"this":[61],"property":[62],"algorithm":[65,91],"to":[66,120,123],"develop":[67],"cache-efficient":[69,88],"multigrid":[70,121],"method,":[71],"by":[72,112],"focusing":[73],"on":[74,132,136],"improving":[75],"memory":[77,110],"behavior":[78],"methods.":[83],"The":[84],"efficiency":[85],"in":[86],"our":[87],"comes":[92],"two":[94],"sources:":[95],"reducing":[96,106],"data":[100],"cache":[101],"TLB":[103],"misses,":[104],"references":[111],"keeping":[113],"values":[114],"registerresident.":[115],"Our":[116],"optimizations":[117],"applicable":[119],"applied":[122],"constant":[128],"coefficient":[129],"PDEs":[131],"structured":[133],"grids.":[134],"Experiments":[135],"five":[137],"modern":[138],"computing":[139],"platforms":[140],"show":[141],"performance":[143],"improvement":[144],"1.15\u20132.7":[146],"times":[147],"over":[148],"standard":[150],"implementation":[151],"Full":[153],"V-Cycle.":[155]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}