{"id":"https://openalex.org/W2017217780","doi":"https://doi.org/10.1137/040615729","title":"Reducing Complexity in Parallel Algebraic Multigrid Preconditioners","display_name":"Reducing Complexity in Parallel Algebraic Multigrid Preconditioners","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2017217780","doi":"https://doi.org/10.1137/040615729","mag":"2017217780"},"language":"en","primary_location":{"id":"doi:10.1137/040615729","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040615729","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and 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/A5023907914","display_name":"Hans De Sterck","orcid":"https://orcid.org/0000-0002-1641-932X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hans De Sterck","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067370556","display_name":"Ulrike Meier Yang","orcid":"https://orcid.org/0000-0002-6957-0445"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ulrike Meier Yang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5034617674","display_name":"Jeffrey J. Heys","orcid":"https://orcid.org/0000-0001-9249-3612"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jeffrey J. Heys","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.4568,"has_fulltext":false,"cited_by_count":199,"citation_normalized_percentile":{"value":0.98714494,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"27","issue":"4","first_page":"1019","last_page":"1039"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9986000061035156,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/preconditioner","display_name":"Preconditioner","score":0.9413188695907593},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.9037008881568909},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.8112589120864868},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5680919885635376},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5633673667907715},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5378311276435852},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5059546828269958},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4874763488769531},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4774782657623291},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4580378532409668},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43994826078414917},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.433445543050766},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3783707022666931},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35865288972854614},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3270452618598938},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.09425053000450134}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9413188695907593},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.9037008881568909},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.8112589120864868},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5680919885635376},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5633673667907715},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5378311276435852},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5059546828269958},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4874763488769531},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4774782657623291},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4580378532409668},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43994826078414917},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.433445543050766},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3783707022666931},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35865288972854614},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3270452618598938},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.09425053000450134},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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:10.1137/040615729","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040615729","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1524106338","https://openalex.org/W1888328293","https://openalex.org/W1994182141","https://openalex.org/W1997542937","https://openalex.org/W2007495728","https://openalex.org/W2039789965","https://openalex.org/W2072662440","https://openalex.org/W2080139289","https://openalex.org/W2093166684","https://openalex.org/W2100061495","https://openalex.org/W2132292023","https://openalex.org/W2498157954","https://openalex.org/W2536303343","https://openalex.org/W2973296080","https://openalex.org/W4230108662"],"related_works":["https://openalex.org/W4389317411","https://openalex.org/W1492522302","https://openalex.org/W2096454229","https://openalex.org/W2042199958","https://openalex.org/W3046775784","https://openalex.org/W2103149966","https://openalex.org/W2382988560","https://openalex.org/W2177482563","https://openalex.org/W2120298265","https://openalex.org/W2464766188"],"abstract_inverted_index":{"Algebraic":[0],"multigrid":[1],"(AMG)":[2],"is":[3],"a":[4,58,90],"very":[5],"efficient":[6],"iterative":[7,98],"solver":[8],"and":[9,38,41,74,119],"preconditioner":[10,91],"for":[11,20,79,92,127],"large":[12,81,129],"unstructured":[13],"sparse":[14],"linear":[15],"systems.":[16],"Traditional":[17],"coarsening":[18,48,70,117],"schemes":[19,49],"AMG":[21,47,88],"can,":[22],"however,":[23],"lead":[24],"to":[25,101],"computational":[26],"complexity":[27,77,107],"growth":[28,78],"as":[29,89],"problem":[30],"size":[31],"increases,":[32],"resulting":[33,63,97],"in":[34,64,112],"increased":[35],"memory":[36,73],"use":[37],"execution":[39,75],"time,":[40],"diminished":[42],"scalability.":[43],"Two":[44],"new":[45,69,116,125],"parallel":[46],"are":[50,53],"proposed":[51],"that":[52,109],"based":[54],"solely":[55],"on":[56],"enforcing":[57],"maximum":[59],"independent":[60],"set":[61],"property,":[62],"sparser":[65],"coarse":[66],"grids.":[67],"The":[68],"techniques":[71],"remedy":[72],"time":[76],"various":[80,128],"three-dimensional":[82],"(3D)":[83],"problems.":[84,131],"If":[85],"used":[86],"within":[87],"Krylov":[93],"subspace":[94],"methods,":[95],"the":[96,115,121,124],"methods":[99],"tend":[100],"converge":[102],"fast.":[103],"This":[104],"paper":[105],"discusses":[106],"issues":[108],"can":[110],"arise":[111],"AMG,":[113],"describes":[114],"schemes,":[118],"examines":[120],"performance":[122],"of":[123],"preconditioners":[126],"3D":[130]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":15}],"updated_date":"2026-06-17T08:01:34.144755","created_date":"2025-10-10T00:00:00"}