{"id":"https://openalex.org/W2000924887","doi":"https://doi.org/10.1109/tmag.2013.2238612","title":"Large-Scale Magnetostatic Domain Decomposition Analysis Based on the MINRES Method","display_name":"Large-Scale Magnetostatic Domain Decomposition Analysis Based on the MINRES Method","publication_year":2013,"publication_date":"2013-05-01","ids":{"openalex":"https://openalex.org/W2000924887","doi":"https://doi.org/10.1109/tmag.2013.2238612","mag":"2000924887"},"language":"en","primary_location":{"id":"doi:10.1109/tmag.2013.2238612","doi":"https://doi.org/10.1109/tmag.2013.2238612","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tmag.2013.2238612","pdf_url":"https://ieeexplore.ieee.org/ielx7/20/6514491/06514528.pdf","source":{"id":"https://openalex.org/S50523690","display_name":"IEEE Transactions on Magnetics","issn_l":"0018-9464","issn":["0018-9464","1941-0069"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320755","host_organization_name":"IEEE Magnetics Society","host_organization_lineage":["https://openalex.org/P4310320755","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Magnetics Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Magnetics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://ieeexplore.ieee.org/ielx7/20/6514491/06514528.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101586444","display_name":"Hiroshi Kanayama","orcid":"https://orcid.org/0000-0001-8183-5090","observed_orcids":["https://orcid.org/0000-0001-8183-5090"]},"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":"Hiroshi Kanayama","raw_affiliation_strings":["Department of Mechanical Engineering, Graduate School of Engineering, Kyushu University, Fukuoka, Japan","$^{1}$Department of Mechanical Engineering, Graduate School of Engineering,, Kyushu University,, Fukuoka,, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Graduate School of Engineering, Kyushu University, Fukuoka, Japan","institution_ids":["https://openalex.org/I135598925"]},{"raw_affiliation_string":"$^{1}$Department of Mechanical Engineering, Graduate School of Engineering,, Kyushu University,, Fukuoka,, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"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":["Information Technology Center, University of Nagoya, Nagoya, Japan","$^{2}$ Information Technology Center,, Nagoya University,, Nagoya,, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Technology Center, University of Nagoya, Nagoya, Japan","institution_ids":["https://openalex.org/I60134161"]},{"raw_affiliation_string":"$^{2}$ Information Technology Center,, Nagoya University,, Nagoya,, Japan","institution_ids":["https://openalex.org/I60134161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050969824","display_name":"Shin-ichiro Sugimoto","orcid":"https://orcid.org/0000-0003-0409-561X","observed_orcids":["https://orcid.org/0000-0003-0409-561X"]},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shin-Ichiro Sugimoto","raw_affiliation_strings":["Department of Systems Innovation, School of Engineering, University of Tokyo, Tokyo, Japan","$^{3}$ Department of Systems Innovation,, School of Engineering, The University of Tokyo,, Tokyo,, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems Innovation, School of Engineering, University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"$^{3}$ Department of Systems Innovation,, School of Engineering, The University of Tokyo,, Tokyo,, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074343872","display_name":"Seigo Terada","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":"Seigo Terada","raw_affiliation_strings":["Department of Mechanical Engineering, Graduate School of Engineering, Kyushu University, Fukuoka, Japan","$^{1}$Department of Mechanical Engineering, Graduate School of Engineering,, Kyushu University,, Fukuoka,, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Graduate School of Engineering, Kyushu University, Fukuoka, Japan","institution_ids":["https://openalex.org/I135598925"]},{"raw_affiliation_string":"$^{1}$Department of Mechanical Engineering, Graduate School of Engineering,, Kyushu University,, Fukuoka,, Japan","institution_ids":["https://openalex.org/I135598925"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.1606,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.43394735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"49","issue":"5","first_page":"1565","last_page":"1568"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.5249000191688538,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.5249000191688538,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.3278999924659729,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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":0.06449999660253525,"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/magnetostatic-analysis","display_name":"magnetostatic analysis","score":0.8679999709129333},{"id":"https://openalex.org/keywords/domain-decomposition","display_name":"domain decomposition","score":0.9919999837875366},{"id":"https://openalex.org/keywords/conjugate-residual-method","display_name":"conjugate residual method","score":0.9959999918937683},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"conjugate gradient method","score":0.9340000152587891},{"id":"https://openalex.org/keywords/interface-problems","display_name":"interface problems","score":0.7699999809265137},{"id":"https://openalex.org/keywords/convergence-acceleration","display_name":"convergence acceleration","score":0.7770000100135803},{"id":"https://openalex.org/keywords/iterative-solvers","display_name":"iterative solvers","score":0.722000002861023}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.810636043548584},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.692493736743927},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6694538593292236},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.6232660412788391},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5952522158622742},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5871695876121521},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5492867231369019},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5181847214698792},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5017740726470947},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4759216904640198},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.45438137650489807},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.4380890130996704},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.41925501823425293},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37154561281204224},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3344493508338928},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2701425552368164},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2419811189174652},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24123358726501465},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1480671763420105},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.07832294702529907},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06884568929672241},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.06349170207977295},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.054253578186035156},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","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},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tmag.2013.2238612","doi":"https://doi.org/10.1109/tmag.2013.2238612","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tmag.2013.2238612","pdf_url":"https://ieeexplore.ieee.org/ielx7/20/6514491/06514528.pdf","source":{"id":"https://openalex.org/S50523690","display_name":"IEEE Transactions on Magnetics","issn_l":"0018-9464","issn":["0018-9464","1941-0069"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320755","host_organization_name":"IEEE Magnetics Society","host_organization_lineage":["https://openalex.org/P4310320755","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Magnetics Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Magnetics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1109/tmag.2013.2238612","doi":"https://doi.org/10.1109/tmag.2013.2238612","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tmag.2013.2238612","pdf_url":"https://ieeexplore.ieee.org/ielx7/20/6514491/06514528.pdf","source":{"id":"https://openalex.org/S50523690","display_name":"IEEE Transactions on Magnetics","issn_l":"0018-9464","issn":["0018-9464","1941-0069"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320755","host_organization_name":"IEEE Magnetics Society","host_organization_lineage":["https://openalex.org/P4310320755","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Magnetics Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Magnetics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3555290981","display_name":"Development of a heterogeneous distributed-memory parallel iterative algorithm for practical use of ultra-large-scale finite element analysis","funder_award_id":"24760062","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G5488519622","display_name":"Unified construction of preconditioners in ultra-large-scale domain decomposition analysis","funder_award_id":"24560075","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"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/W2000924887.pdf","grobid_xml":"https://content.openalex.org/works/W2000924887.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1179719574","https://openalex.org/W1480435133","https://openalex.org/W1560263223","https://openalex.org/W1775019891","https://openalex.org/W1915648498","https://openalex.org/W2000582360","https://openalex.org/W2018850201","https://openalex.org/W2036497686","https://openalex.org/W2042615750","https://openalex.org/W2047714674","https://openalex.org/W2132738562","https://openalex.org/W2165220841","https://openalex.org/W2316564661","https://openalex.org/W2407116773","https://openalex.org/W3117083607","https://openalex.org/W4205624883","https://openalex.org/W4300666158","https://openalex.org/W6627811583","https://openalex.org/W6637884528"],"related_works":["https://openalex.org/W2095047742","https://openalex.org/W2407116773","https://openalex.org/W2325088373","https://openalex.org/W2700561138","https://openalex.org/W2694931292","https://openalex.org/W1915648498","https://openalex.org/W2791597622","https://openalex.org/W2945681243","https://openalex.org/W2117656216","https://openalex.org/W3013551279"],"abstract_inverted_index":{"This":[0],"paper":[1],"describes":[2],"a":[3,71],"large-scale":[4,72],"3D":[5],"magnetostatic":[6],"analysis":[7],"using":[8],"the":[9,16,27,33,55,60,67],"Domain":[10],"Decomposition":[11],"Method":[12],"(DDM).":[13],"To":[14],"improve":[15],"convergence":[17,46,51],"of":[18,22,78],"an":[19],"interface":[20,56],"problem":[21,73],"DDM,":[23],"DDM":[24],"based":[25],"on":[26],"Conjugate":[28,61],"Residual":[29],"(CR)":[30],"method":[31,37,44],"or":[32,42],"MINimal":[34],"RESidual":[35],"(MINRES)":[36],"is":[38],"proposed.":[39],"The":[40],"CR":[41],"MINRES":[43],"improves":[45],"rate":[47],"and":[48,65],"shows":[49],"stable":[50],"behavior":[52],"in":[53],"solving":[54],"problem,":[57],"compared":[58],"with":[59,74],"Gradient":[62],"(CG)":[63],"method,":[64],"reduces":[66],"computation":[68],"time":[69],"for":[70],"100":[75],"million":[76],"degrees":[77],"freedom.":[79]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
