{"id":"https://openalex.org/W2072662440","doi":"https://doi.org/10.1137/s1064827598339402","title":"Robustness and Scalability of Algebraic Multigrid","display_name":"Robustness and Scalability of Algebraic Multigrid","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2072662440","doi":"https://doi.org/10.1137/s1064827598339402","mag":"2072662440"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827598339402","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827598339402","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/A5012356182","display_name":"Andrew Cleary","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrew J. Cleary","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057085539","display_name":"Robert D. Falgout","orcid":"https://orcid.org/0000-0003-4884-0087"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robert D. Falgout","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074054014","display_name":"Van Emden Henson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Van Emden Henson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067320421","display_name":"Jim E. Jones","orcid":"https://orcid.org/0000-0002-0144-6130"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jim E. Jones","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008694561","display_name":"Thomas A. Manteuffel","orcid":"https://orcid.org/0000-0002-8897-4146"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thomas A. Manteuffel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046048300","display_name":"Stephen F. McCormick","orcid":"https://orcid.org/0000-0002-6327-790X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stephen F. McCormick","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071435863","display_name":"Gerald N. Miranda","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gerald N. Miranda","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5047719926","display_name":"J. Ruge","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John W. Ruge","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":8.5899,"has_fulltext":false,"cited_by_count":168,"citation_normalized_percentile":{"value":0.97589118,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"21","issue":"5","first_page":"1886","last_page":"1908"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9983000159263611,"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":0.9983000159263611,"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":0.995199978351593,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.9069089889526367},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.8321279287338257},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7817991971969604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6098198890686035},{"id":"https://openalex.org/keywords/popularity","display_name":"Popularity","score":0.5635076761245728},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.538611650466919},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4894756078720093},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.42647483944892883},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3826594948768616},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34854811429977417},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.34789079427719116},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.19176173210144043},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.057092636823654175}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.9069089889526367},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.8321279287338257},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7817991971969604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6098198890686035},{"id":"https://openalex.org/C2780586970","wikidata":"https://www.wikidata.org/wiki/Q1357284","display_name":"Popularity","level":2,"score":0.5635076761245728},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.538611650466919},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4894756078720093},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.42647483944892883},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3826594948768616},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34854811429977417},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.34789079427719116},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.19176173210144043},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.057092636823654175},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s1064827598339402","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827598339402","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.27.7290","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.7290","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.llnl.gov/CASC/people/henson/postscript/AMG_pap.revised.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.48.6196","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.6196","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.llnl.gov/CASC/pubs/cleary_et_al_AMG1.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1668829611","https://openalex.org/W1980929613","https://openalex.org/W1988019902","https://openalex.org/W1995214178","https://openalex.org/W1998461805","https://openalex.org/W2001415695","https://openalex.org/W2009250131","https://openalex.org/W2014395524","https://openalex.org/W2042387773","https://openalex.org/W2075536798","https://openalex.org/W2108371414","https://openalex.org/W2142304406"],"related_works":["https://openalex.org/W2368605798","https://openalex.org/W2518037665","https://openalex.org/W2348524959","https://openalex.org/W2477036161","https://openalex.org/W2368049389","https://openalex.org/W2384861574","https://openalex.org/W2170801710","https://openalex.org/W2952704802","https://openalex.org/W4294565801","https://openalex.org/W2077078424"],"abstract_inverted_index":{"Algebraic":[0],"multigrid":[1],"(AMG)":[2],"is":[3,41],"currently":[4],"undergoing":[5],"a":[6,47],"resurgence":[7],"in":[8,11,17,70,74,87,99],"popularity,":[9],"due":[10],"part":[12],"to":[13,20,116],"the":[14,18,51,67,77,97,109],"dramatic":[15],"increase":[16],"need":[19],"solve":[21],"physical":[22],"problems":[23],"posed":[24],"on":[25,36],"very":[26],"large,":[27],"unstructured":[28],"grids.":[29],"While":[30],"AMG":[31,71,86,102,114],"has":[32],"proved":[33],"its":[34],"usefulness":[35],"various":[37],"problem":[38],"types,":[39],"it":[40],"not":[42,104],"commonly":[43],"understood":[44],"how":[45],"wide":[46],"range":[48,60],"of":[49,61,66,76,79,89,96],"applicability":[50],"method":[52],"has.":[53],"In":[54],"this":[55],"study,":[56],"we":[57,83,93],"demonstrate":[58],"that":[59],"applicability,":[62],"while":[63],"describing":[64],"some":[65,95],"recent":[68],"advances":[69],"technology.":[72],"Moreover,":[73],"light":[75],"imperatives":[78],"modern":[80],"computer":[81],"environments,":[82],"also":[84],"examine":[85],"terms":[88],"algorithmic":[90],"scalability.":[91],"Finally,":[92],"show":[94],"situations":[98],"which":[100],"standard":[101],"does":[103],"work":[105],"well":[106],"and":[107],"indicate":[108],"current":[110],"directions":[111],"taken":[112],"by":[113],"researchers":[115],"alleviate":[117],"these":[118],"difficulties.":[119]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":17},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":6}],"updated_date":"2026-07-01T08:55:40.977307","created_date":"2025-10-10T00:00:00"}
