{"id":"https://openalex.org/W2056676972","doi":"https://doi.org/10.1002/nme.1248","title":"Finite element matrices in congruent subdomains and their effective use for large-scale computations","display_name":"Finite element matrices in congruent subdomains and their effective use for large-scale computations","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2056676972","doi":"https://doi.org/10.1002/nme.1248","mag":"2056676972"},"language":"en","primary_location":{"id":"doi:10.1002/nme.1248","doi":"https://doi.org/10.1002/nme.1248","is_oa":true,"landing_page_url":"https://doi.org/10.1002/nme.1248","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/nme.1248","source":{"id":"https://openalex.org/S165651092","display_name":"International Journal for Numerical Methods in Engineering","issn_l":"0029-5981","issn":["0029-5981","1097-0207"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical Methods in Engineering","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/nme.1248","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Atsushi Suzuki","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Atsushi Suzuki","raw_affiliation_strings":["Department of Mathematical Sciences, Kyushu University, Fukuoka 812-8581, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Kyushu University, Fukuoka 812-8581, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102334202","display_name":"Masahisa Tabata","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masahisa Tabata","raw_affiliation_strings":["Department of Mathematical Sciences, Kyushu University, Fukuoka 812-8581, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Kyushu University, Fukuoka 812-8581, Japan","institution_ids":["https://openalex.org/I135598925"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I135598925"],"apc_list":{"value":4250,"currency":"USD","value_usd":4250},"apc_paid":null,"fwci":1.8898,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.83982551,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"62","issue":"13","first_page":"1807","last_page":"1831"},"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":0.9340999722480774,"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":0.9340999722480774,"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":0.06379999965429306,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.0003000000142492354,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-element-matrices","display_name":"finite element matrices","score":0.8140000104904175},{"id":"https://openalex.org/keywords/domain-decomposition","display_name":"domain decomposition","score":0.7730000019073486},{"id":"https://openalex.org/keywords/memory-reduction","display_name":"memory reduction","score":0.7049999833106995},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"affine transformation","score":0.5519999861717224},{"id":"https://openalex.org/keywords/orthogonal-transformations","display_name":"orthogonal transformations","score":0.5230000019073486},{"id":"https://openalex.org/keywords/large-scale-computing","display_name":"large-scale computation","score":0.8109999895095825}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7269054055213928},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7137787342071533},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6191470623016357},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.560844898223877},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5188185572624207},{"id":"https://openalex.org/C14198674","wikidata":"https://www.wikidata.org/wiki/Q3851930","display_name":"Stiffness matrix","level":3,"score":0.4687986969947815},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4556051790714264},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4291721284389496},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.42305970191955566},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3637199401855469},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36065375804901123},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3471304774284363},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3450953960418701},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24165785312652588},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1429591178894043},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.1400790810585022},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12819713354110718},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1002/nme.1248","doi":"https://doi.org/10.1002/nme.1248","is_oa":true,"landing_page_url":"https://doi.org/10.1002/nme.1248","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/nme.1248","source":{"id":"https://openalex.org/S165651092","display_name":"International Journal for Numerical Methods in Engineering","issn_l":"0029-5981","issn":["0029-5981","1097-0207"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical Methods in Engineering","raw_type":"journal-article"},{"id":"pmh:oai:irdb.nii.ac.jp:01211:0005973357","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/2324/11824","pdf_url":"https://catalog.lib.kyushu-u.ac.jp/opac_download_md/11824/2003-6.pdf","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal for Numerical Methods in Engineering","raw_type":"journal article"},{"id":"pmh:oai:catalog.lib.kyushu-u.ac.jp:2324/11824","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2324/11824","pdf_url":null,"source":{"id":"https://openalex.org/S4306402148","display_name":"QIR (Kyushu University Institutional Repository) (Kyushu University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I135598925","host_organization_name":"Kyushu University","host_organization_lineage":["https://openalex.org/I135598925"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal for Numerical Methods in Engineering","raw_type":"journal article"}],"best_oa_location":{"id":"doi:10.1002/nme.1248","doi":"https://doi.org/10.1002/nme.1248","is_oa":true,"landing_page_url":"https://doi.org/10.1002/nme.1248","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/nme.1248","source":{"id":"https://openalex.org/S165651092","display_name":"International Journal for Numerical Methods in Engineering","issn_l":"0029-5981","issn":["0029-5981","1097-0207"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical Methods in Engineering","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G130999528","display_name":"\u90e8\u5206\u69cb\u9020\u53cd\u5fa9\u6cd5\u306b\u3088\u308b3\u6b21\u5143\u30b9\u30c8\u30fc\u30af\u30b9\u554f\u984c\u30bd\u30eb\u30d0\u30fc\u306e\u958b\u767a\u3068\u5b9f\u88c5","funder_award_id":"15740065","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G7434852600","display_name":"Construction of Numerical Analysis for High-performance Large-Scale Computation","funder_award_id":"13304007","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320320912","display_name":"Ministry of Education, Culture, Sports, Science and Technology","ror":"https://ror.org/048rj2z13"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2056676972.pdf","grobid_xml":"https://content.openalex.org/works/W2056676972.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W72174159","https://openalex.org/W1506342804","https://openalex.org/W1542243431","https://openalex.org/W1574469988","https://openalex.org/W1575701986","https://openalex.org/W1587757615","https://openalex.org/W1674659126","https://openalex.org/W1972758848","https://openalex.org/W1974521166","https://openalex.org/W1981745143","https://openalex.org/W1989548320","https://openalex.org/W2000582360","https://openalex.org/W2002425660","https://openalex.org/W2005390260","https://openalex.org/W2031738947","https://openalex.org/W2034150466","https://openalex.org/W2041523977","https://openalex.org/W2041950884","https://openalex.org/W2073897969","https://openalex.org/W2074408192","https://openalex.org/W2085459043","https://openalex.org/W2092891737","https://openalex.org/W2115116786","https://openalex.org/W2116226692","https://openalex.org/W2484450466","https://openalex.org/W3149667697","https://openalex.org/W4252104256","https://openalex.org/W6630354094"],"related_works":["https://openalex.org/W2506062533","https://openalex.org/W1984035674","https://openalex.org/W251749596","https://openalex.org/W2057235948","https://openalex.org/W177172437","https://openalex.org/W1996807557","https://openalex.org/W580963993","https://openalex.org/W1996936710","https://openalex.org/W2018834578","https://openalex.org/W2040431218"],"abstract_inverted_index":{"The":[0,79],"structure":[1],"of":[2,17,27,31,36,51,101,111,117],"finite":[3,84],"element":[4,85],"matrices":[5,57,106],"in":[6,58,64,96],"congruent":[7,28],"subdomains":[8,59],"is":[9,22,33,94],"studied.":[10],"When":[11],"a":[12,15,25,37,83],"domain":[13,91],"has":[14],"form":[16],"symmetries":[18],"and/or":[19],"periodicities,":[20],"it":[21],"decomposed":[23],"into":[24],"union":[26],"subdomains,":[29],"each":[30],"which":[32,93],"an":[34,41,45,123],"image":[35],"reference":[38,66],"subdomain":[39,67],"by":[40,62,89],"affine":[42],"transformation":[43],"with":[44,68,109,122],"orthogonal":[46,77],"matrix":[47],"whose":[48],"components":[49],"consist":[50],"-1,":[52],"0,":[53],"and":[54,71,115],"1.":[55],"Stiffness":[56],"are":[60,87,107,120],"expressed":[61],"one":[63],"the":[65,76,90,118,126],"renumbering":[69],"indices":[70],"changing":[72],"signs":[73],"corresponding":[74],"to":[75,104,125],"matrices.":[78],"memory":[80,102],"requirements":[81,103],"for":[82],"solver":[86],"reduced":[88],"decomposition,":[92],"useful":[95],"large-scale":[97],"computations.":[98],"Reducing":[99],"rates":[100],"store":[105],"reported":[108],"examples":[110],"domains.":[112],"Both":[113],"applicability":[114],"limitations":[116],"algorithm":[119],"discussed":[121],"application":[124],"Earth's":[127],"mantle":[128],"convection":[129],"problem.":[130],"Copyright":[131],"\u00a9":[132],"2005":[133],"John":[134],"Wiley":[135],"&":[136],"Sons,":[137],"Ltd.":[138]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}
