{"id":"https://openalex.org/W2070981249","doi":"https://doi.org/10.1137/0914069","title":"Analysis of the Multigrid FMV Cycle on Large-Scale Parallel Machines","display_name":"Analysis of the Multigrid FMV Cycle on Large-Scale Parallel Machines","publication_year":1993,"publication_date":"1993-09-01","ids":{"openalex":"https://openalex.org/W2070981249","doi":"https://doi.org/10.1137/0914069","mag":"2070981249"},"language":"en","primary_location":{"id":"doi:10.1137/0914069","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0914069","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","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/A5106787959","display_name":"Ray Tuminaro","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ray S. Tuminaro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5076990167","display_name":"David E. Womble","orcid":"https://orcid.org/0000-0003-1741-8983"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David E. Womble","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9499,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.79577648,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"5","first_page":"1159","last_page":"1173"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9987999796867371,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9839000105857849,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.9836999773979187,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/massively-parallel","display_name":"Massively parallel","score":0.7681080102920532},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.7602230906486511},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.6766520142555237},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6456003189086914},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5906918048858643},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5026211738586426},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.37190911173820496},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26057758927345276},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24440336227416992},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.0886465311050415}],"concepts":[{"id":"https://openalex.org/C190475519","wikidata":"https://www.wikidata.org/wiki/Q544384","display_name":"Massively parallel","level":2,"score":0.7681080102920532},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.7602230906486511},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6766520142555237},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6456003189086914},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5906918048858643},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5026211738586426},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.37190911173820496},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26057758927345276},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24440336227416992},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.0886465311050415},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0914069","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0914069","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.550000011920929,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W138609776","https://openalex.org/W1815303420","https://openalex.org/W2032163384"],"related_works":["https://openalex.org/W4245219260","https://openalex.org/W2032163384","https://openalex.org/W2574930369","https://openalex.org/W2586858590","https://openalex.org/W66408621","https://openalex.org/W3000119417","https://openalex.org/W2493281735","https://openalex.org/W2023839151","https://openalex.org/W1774183074","https://openalex.org/W2057488824"],"abstract_inverted_index":{"On":[0],"serial":[1],"computers":[2],"it":[3],"is":[4,12,46,126,152],"well":[5],"known":[6],"that":[7,50],"the":[8,15,35,39,52,67,71,77,130,147,156,159,180,184,189],"multigrid":[9,42,168],"FMV":[10,40,78,96,112,134,149,190,203],"cycle":[11,17,54,79,109],"preferable":[13,115],"to":[14,56,116,128,154,182],"V":[16,43,53,108,117,136],"both":[18,133],"asymptotically":[19],"and":[20,135,186],"in":[21,119,177],"practical":[22],"use":[23],"over":[24],"a":[25,57,88,120,139,167,171],"wide":[26],"range":[27],"of":[28,38,51,60,90,132,141,158,188,198],"applications.":[29],"However,":[30],"on":[31,63,81,170,202],"massively":[32,82,121],"parallel":[33,36,83,95,122,199],"machines,":[34],"efficiency":[37,131,157,187],"(full":[41],"cycle)":[44],"scheme":[45],"noticeably":[47],"lower":[48],"than":[49],"due":[55],"large":[58],"percentage":[59],"time":[61],"spent":[62],"coarse":[64,73,160],"grids.":[65],"Thus":[66],"question":[68],"arises:":[69],"are":[70,92,111,175,194],"additional":[72],"grid":[74,161],"computations":[75],"within":[76],"warranted":[80],"machines?":[84],"To":[85],"answer":[86],"this,":[87],"number":[89],"issues":[91],"addressed":[93],"regarding":[94,196],"cycles:":[97],"what":[98],"efficiencies":[99],"can":[100],"be":[101],"achieved;":[102],"how":[103],"do":[104],"these":[105],"compare":[106],"with":[107,179],"efficiencies;":[110],"cycles":[113,118,137],"still":[114],"environment?":[123],"A":[124],"model":[125,181],"used":[127,176],"analyze":[129],"as":[138],"function":[140],"relaxation":[142],"efficiency.":[143],"Using":[144],"this":[145],"model,":[146],"standard":[148],"grid-switching":[150],"criterion":[151],"modified":[153],"incorporate":[155],"processing.":[162],"Numerical":[163],"results":[164],"obtained":[165],"from":[166],"implementation":[169],"1024-processor":[172],"nCUBE":[173],"2":[174],"conjunction":[178],"quantify":[183],"performance":[185],"cycle.":[191],"Finally,":[192],"comments":[193],"made":[195],"limitations":[197],"processors":[200],"based":[201],"efficiencies.":[204]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}