{"id":"https://openalex.org/W2945977286","doi":"https://doi.org/10.1299/jsmecmd.2018.31.296","title":"A Study of Large-scale Analysis using Multi-level Hierarchical Domain Decomposition Method","display_name":"A Study of Large-scale Analysis using Multi-level Hierarchical Domain Decomposition Method","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2945977286","doi":"https://doi.org/10.1299/jsmecmd.2018.31.296","mag":"2945977286"},"language":"en","primary_location":{"id":"doi:10.1299/jsmecmd.2018.31.296","doi":"https://doi.org/10.1299/jsmecmd.2018.31.296","is_oa":true,"landing_page_url":"https://doi.org/10.1299/jsmecmd.2018.31.296","pdf_url":"https://www.jstage.jst.go.jp/article/jsmecmd/2018.31/0/2018.31_296/_pdf","source":{"id":"https://openalex.org/S4210233820","display_name":"Keisan Rikigaku Koenkai koen ronbunshu/Keisan Rikigaku Kouenkai kouen rombunshuu","issn_l":"1348-026X","issn":["1348-026X","2424-2799"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4322614513","host_organization_name":"The Japan Society of Mechanical Engineers","host_organization_lineage":["https://openalex.org/P4322614513"],"host_organization_lineage_names":["The Japan Society of Mechanical Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Proceedings of The Computational Mechanics Conference","raw_type":"journal-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.jstage.jst.go.jp/article/jsmecmd/2018.31/0/2018.31_296/_pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005310913","display_name":"Kaworu Yodo","orcid":"https://orcid.org/0009-0003-3107-8134","observed_orcids":["https://orcid.org/0009-0003-3107-8134"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kaworu YODO","raw_affiliation_strings":["Insight, Inc"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Insight, Inc","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014775066","display_name":"Ryuji Shioya","orcid":"https://orcid.org/0009-0004-8029-9723","observed_orcids":["https://orcid.org/0009-0004-8029-9723"]},"institutions":[{"id":"https://openalex.org/I158123994","display_name":"Toyo University","ror":"https://ror.org/059d6yn51","country_code":"JP","type":"education","lineage":["https://openalex.org/I158123994"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ryuji SHIOYA","raw_affiliation_strings":["Toyo University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Toyo University","institution_ids":["https://openalex.org/I158123994"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103178816","display_name":"Hiroshi F. Kawai","orcid":"https://orcid.org/0000-0001-6631-7682","observed_orcids":["https://orcid.org/0000-0001-6631-7682"]},"institutions":[{"id":"https://openalex.org/I158123994","display_name":"Toyo University","ror":"https://ror.org/059d6yn51","country_code":"JP","type":"education","lineage":["https://openalex.org/I158123994"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi KAWAI","raw_affiliation_strings":["Toyo University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Toyo University","institution_ids":["https://openalex.org/I158123994"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047629920","display_name":"Masao Ogino","orcid":"https://orcid.org/0000-0003-2610-2059","observed_orcids":["https://orcid.org/0000-0003-2610-2059"]},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masao OGINO","raw_affiliation_strings":["Nagoya University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nagoya University","institution_ids":["https://openalex.org/I60134161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013788220","display_name":"Akio MIYOSHI","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Akio MIYOSHI","raw_affiliation_strings":["Insight, Inc"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Insight, Inc","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.38499872,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2018.31","issue":"0","first_page":"296","last_page":"296"},"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":0.5541999936103821,"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":0.5541999936103821,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.43549999594688416,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.0015999999595806003,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/large-scale-finite-element-analysis","display_name":"large-scale finite element analysis","score":0.9599999785423279},{"id":"https://openalex.org/keywords/subdomain-decomposition","display_name":"subdomain decomposition","score":0.5889999866485596},{"id":"https://openalex.org/keywords/residual-threshold","display_name":"residual threshold","score":0.5559999942779541},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"parallel computing","score":0.3050000071525574}],"concepts":[{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.7891693115234375},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7011202573776245},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.6737331748008728},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.6566670536994934},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6229730844497681},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5963984727859497},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.520160436630249},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.518969714641571},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5026290416717529},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4955404996871948},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.44741079211235046},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.43593600392341614},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4150247871875763},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.35407596826553345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34192728996276855},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.25424453616142273},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.22134920954704285},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.12917229533195496},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09908026456832886},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07583287358283997},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07375729084014893},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.053495824337005615},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1299/jsmecmd.2018.31.296","doi":"https://doi.org/10.1299/jsmecmd.2018.31.296","is_oa":true,"landing_page_url":"https://doi.org/10.1299/jsmecmd.2018.31.296","pdf_url":"https://www.jstage.jst.go.jp/article/jsmecmd/2018.31/0/2018.31_296/_pdf","source":{"id":"https://openalex.org/S4210233820","display_name":"Keisan Rikigaku Koenkai koen ronbunshu/Keisan Rikigaku Kouenkai kouen rombunshuu","issn_l":"1348-026X","issn":["1348-026X","2424-2799"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4322614513","host_organization_name":"The Japan Society of Mechanical Engineers","host_organization_lineage":["https://openalex.org/P4322614513"],"host_organization_lineage_names":["The Japan Society of Mechanical Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Proceedings of The Computational Mechanics Conference","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1299/jsmecmd.2018.31.296","doi":"https://doi.org/10.1299/jsmecmd.2018.31.296","is_oa":true,"landing_page_url":"https://doi.org/10.1299/jsmecmd.2018.31.296","pdf_url":"https://www.jstage.jst.go.jp/article/jsmecmd/2018.31/0/2018.31_296/_pdf","source":{"id":"https://openalex.org/S4210233820","display_name":"Keisan Rikigaku Koenkai koen ronbunshu/Keisan Rikigaku Kouenkai kouen rombunshuu","issn_l":"1348-026X","issn":["1348-026X","2424-2799"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4322614513","host_organization_name":"The Japan Society of Mechanical Engineers","host_organization_lineage":["https://openalex.org/P4322614513"],"host_organization_lineage_names":["The Japan Society of Mechanical Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Proceedings of The Computational Mechanics Conference","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2945977286.pdf","grobid_xml":"https://content.openalex.org/works/W2945977286.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2795140894","https://openalex.org/W2668285286","https://openalex.org/W3160039255","https://openalex.org/W2626206516","https://openalex.org/W2911659105","https://openalex.org/W2125857603","https://openalex.org/W2669111024","https://openalex.org/W4409754485","https://openalex.org/W2327011473","https://openalex.org/W1980336077"],"abstract_inverted_index":{"We":[0],"have":[1],"been":[2],"developing":[3],"an":[4],"efficient":[5],"algorithm":[6],"based":[7],"on":[8],"a":[9,29,37],"geometrical":[10],"multigrid":[11],"approach,":[12],"named":[13],"\u201cMulti-level":[14],"Hierarchical":[15],"Domain":[16],"Decomposition":[17],"Method\u201d":[18],"(MHDDM),":[19],"for":[20,43],"the":[21,44,60,63,68],"large-scale":[22,45],"finite":[23],"element":[24],"analysis.":[25,46],"A":[26],"MHDDM":[27],"has":[28],"multi-level":[30],"hierarchical":[31],"structures":[32],"of":[33,65,70,75],"subdomains":[34,66],"and":[35,58,67,73],"make":[36],"coarse-grid-based":[38],"preconditioner":[39],"easy":[40],"to":[41],"apply":[42],"In":[47],"this":[48],"paper,":[49],"we":[50],"performed":[51],"benchmark":[52],"test":[53,56],"using":[54],"some":[55],"models":[57],"assume":[59],"relation":[61],"between":[62],"number":[64,69],"DDM":[71],"iteration":[72],"threshold":[74],"residual.":[76]},"counts_by_year":[],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2019-05-29T00:00:00"}