{"id":"https://openalex.org/W2022917069","doi":"https://doi.org/10.1137/080728457","title":"Smoothed Aggregation Multigrid for the Discontinuous Galerkin Method","display_name":"Smoothed Aggregation Multigrid for the Discontinuous Galerkin Method","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2022917069","doi":"https://doi.org/10.1137/080728457","mag":"2022917069"},"language":"en","primary_location":{"id":"doi:10.1137/080728457","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080728457","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/A5035039275","display_name":"Florian Prill","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"F. Prill","raw_affiliation_strings":["florian.prill@dlr.de#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"florian.prill@dlr.de#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077357327","display_name":"M\u00e1ria Luk\u00e1\u010dov\u00e1-Medvi\u010fov\u00e1","orcid":"https://orcid.org/0000-0002-4351-0161"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Luk\u00e1\u010dov\u00e1-Medvi\u010fov\u00e1","raw_affiliation_strings":["lukacova@tu-harburg.de#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"lukacova@tu-harburg.de#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068101054","display_name":"Ralf Hartmann","orcid":"https://orcid.org/0000-0002-0403-1221"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. Hartmann","raw_affiliation_strings":["ralf.hartmann@dlr.de#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ralf.hartmann@dlr.de#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2093,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.91872151,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"31","issue":"5","first_page":"3503","last_page":"3528"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9983000159263611,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.998199999332428,"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/multigrid-method","display_name":"Multigrid method","score":0.8326137065887451},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8036860227584839},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.7150384187698364},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6093378067016602},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5973395109176636},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.571342945098877},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5391481518745422},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.5141699314117432},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.47242844104766846},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37393856048583984},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.3534236252307892},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.22598659992218018}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.8326137065887451},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8036860227584839},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.7150384187698364},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6093378067016602},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5973395109176636},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.571342945098877},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5391481518745422},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.5141699314117432},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.47242844104766846},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37393856048583984},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3534236252307892},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.22598659992218018},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/080728457","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080728457","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:elib.dlr.de:60630","is_oa":false,"landing_page_url":"https://elib.dlr.de/60630/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196266","display_name":"elib (German Aerospace Center)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2898391981","host_organization_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","host_organization_lineage":["https://openalex.org/I2898391981"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Zeitschriftenbeitrag"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W611211506","https://openalex.org/W1548589512","https://openalex.org/W1593882739","https://openalex.org/W1967011851","https://openalex.org/W1976115257","https://openalex.org/W1990319748","https://openalex.org/W1992066344","https://openalex.org/W1997596109","https://openalex.org/W2009441498","https://openalex.org/W2010668310","https://openalex.org/W2022811246","https://openalex.org/W2029725158","https://openalex.org/W2035525708","https://openalex.org/W2040011362","https://openalex.org/W2042360643","https://openalex.org/W2048896422","https://openalex.org/W2056715474","https://openalex.org/W2059679865","https://openalex.org/W2062839853","https://openalex.org/W2066610136","https://openalex.org/W2068395392","https://openalex.org/W2078229874","https://openalex.org/W2092494174","https://openalex.org/W2102295719","https://openalex.org/W2105777174","https://openalex.org/W2127981460","https://openalex.org/W2130350269","https://openalex.org/W2142304406","https://openalex.org/W2148070575","https://openalex.org/W2148668119","https://openalex.org/W2151490415","https://openalex.org/W2159284429","https://openalex.org/W2165220841","https://openalex.org/W2165804517","https://openalex.org/W2243781021","https://openalex.org/W3185776723","https://openalex.org/W4242960114"],"related_works":["https://openalex.org/W3194154810","https://openalex.org/W3036705560","https://openalex.org/W3215603717","https://openalex.org/W3126538750","https://openalex.org/W3006282873","https://openalex.org/W2157779677","https://openalex.org/W2732702890","https://openalex.org/W3036460468","https://openalex.org/W4287753475","https://openalex.org/W2059053360"],"abstract_inverted_index":{"The":[0,32],"aim":[1],"of":[2,21,50,69,81,99],"this":[3],"paper":[4],"is":[5,45,60],"to":[6,47,62],"investigate":[7],"theoretically":[8],"as":[9,11,73],"well":[10],"experimentally":[12],"&#13;\\n":[13],"an":[14],"algebraic":[15],"multilevel":[16],"algorithm":[17,59],"for":[18,39,66,91],"the":[19,22,28,40,54,58,67,82,100],"solution":[20],"linear":[23],"systems":[24],"that":[25],"arise":[26],"from":[27],"discontinuous":[29],"Galerkin":[30],"method.":[31],"smoothed":[33],"aggregation":[34],"multigrid,":[35],"introduced":[36],"by":[37],"Van\\\\v{e}k":[38],"conforming":[41],"finite":[42],"element":[43],"method,":[44],"applied":[46],"low-order":[48],"discretizations":[49],"convection-diffusion":[51],"equations.":[52,103],"For":[53],"elliptic":[55],"model":[56],"problem":[57],"shown":[61],"be":[63],"quasi-optimal.":[64],"Adjustments":[65],"case":[68],"non-vanishing":[70],"advection,":[71],"such":[72],"directionally":[74],"implicit":[75],"smoothing":[76],"and":[77],"a":[78,95],"suitable":[79],"splitting":[80],"operator":[83],"are":[84,89],"discussed.":[85],"Several":[86],"numerical":[87],"experiments":[88],"presented":[90],"two-dimensional":[92],"problems,":[93],"including":[94],"Newton":[96],"type":[97],"linearization":[98],"compressible":[101],"Navier-Stokes":[102]},"counts_by_year":[{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
