Automatic Determination of Acceleration Factor Based on Residual and Functional in Shifted ICCG Method for 3-D Electromagnetic Field Analyses
This paper describes new strategy for determining an optimal acceleration factor in the shifted incomplete Cholesky conjugate gradient (ICCG) method. Although a useful method focused on the maximum diagonal entry in the incomplete Cholesky (IC) preconditioner was already proposed, it cannot always p...
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| Veröffentlicht in: | IEEE transactions on magnetics 2013-05, Vol.49 (5), p.1741-1744 |
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| container_title | IEEE transactions on magnetics |
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| creator | Kitao, Junji Takahashi, Yasuhito Fujiwara, Koji Mifune, Takeshi Iwashita, Takeshi |
| description | This paper describes new strategy for determining an optimal acceleration factor in the shifted incomplete Cholesky conjugate gradient (ICCG) method. Although a useful method focused on the maximum diagonal entry in the incomplete Cholesky (IC) preconditioner was already proposed, it cannot always provide the optimal acceleration factor. In this paper, we propose new automatic determination methods based on the minimization of the norms of the remainder matrix, the residual, and the functional in the shifted ICCG method and discuss its effectiveness in the 3-D electromagnetic field analyses using the edge-based finite element method. It is concluded that the proposed methods based on the minimization of the norm of the residual or the functional can determine an appropriate acceleration factor within the acceptable computational cost and improve the convergence property of the shifted ICCG method. |
| doi_str_mv | 10.1109/TMAG.2013.2239277 |
| format | Article |
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Although a useful method focused on the maximum diagonal entry in the incomplete Cholesky (IC) preconditioner was already proposed, it cannot always provide the optimal acceleration factor. In this paper, we propose new automatic determination methods based on the minimization of the norms of the remainder matrix, the residual, and the functional in the shifted ICCG method and discuss its effectiveness in the 3-D electromagnetic field analyses using the edge-based finite element method. It is concluded that the proposed methods based on the minimization of the norm of the residual or the functional can determine an appropriate acceleration factor within the acceptable computational cost and improve the convergence property of the shifted ICCG method.</description><identifier>ISSN: 0018-9464</identifier><identifier>EISSN: 1941-0069</identifier><identifier>DOI: 10.1109/TMAG.2013.2239277</identifier><identifier>CODEN: IEMGAQ</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Acceleration ; Analytical models ; Computational efficiency ; Convergence ; Cross-disciplinary physics: materials science; rheology ; Edge-based finite element method ; Electromagnetic fields ; Exact sciences and technology ; Finite element analysis ; functional ; ICCOCG method ; Integrated circuit modeling ; Magnetism ; Materials science ; Mathematical model ; Minimization ; Norms ; Optimization ; Other topics in materials science ; Physics ; remainder matrix ; residual ; shifted ICCG method ; Solid modeling ; Studies ; Three dimensional</subject><ispartof>IEEE transactions on magnetics, 2013-05, Vol.49 (5), p.1741-1744</ispartof><rights>2014 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) May 2013</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c356t-7ea54c2536b0d072a88dd1a07c2aafafa44833462e9d640287885d9f3e81afab3</citedby><cites>FETCH-LOGICAL-c356t-7ea54c2536b0d072a88dd1a07c2aafafa44833462e9d640287885d9f3e81afab3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/6514551$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,314,776,780,785,786,792,23909,23910,25118,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/6514551$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=27484234$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Kitao, Junji</creatorcontrib><creatorcontrib>Takahashi, Yasuhito</creatorcontrib><creatorcontrib>Fujiwara, Koji</creatorcontrib><creatorcontrib>Mifune, Takeshi</creatorcontrib><creatorcontrib>Iwashita, Takeshi</creatorcontrib><title>Automatic Determination of Acceleration Factor Based on Residual and Functional in Shifted ICCG Method for 3-D Electromagnetic Field Analyses</title><title>IEEE transactions on magnetics</title><addtitle>TMAG</addtitle><description>This paper describes new strategy for determining an optimal acceleration factor in the shifted incomplete Cholesky conjugate gradient (ICCG) method. Although a useful method focused on the maximum diagonal entry in the incomplete Cholesky (IC) preconditioner was already proposed, it cannot always provide the optimal acceleration factor. In this paper, we propose new automatic determination methods based on the minimization of the norms of the remainder matrix, the residual, and the functional in the shifted ICCG method and discuss its effectiveness in the 3-D electromagnetic field analyses using the edge-based finite element method. It is concluded that the proposed methods based on the minimization of the norm of the residual or the functional can determine an appropriate acceleration factor within the acceptable computational cost and improve the convergence property of the shifted ICCG method.</description><subject>Acceleration</subject><subject>Analytical models</subject><subject>Computational efficiency</subject><subject>Convergence</subject><subject>Cross-disciplinary physics: materials science; rheology</subject><subject>Edge-based finite element method</subject><subject>Electromagnetic fields</subject><subject>Exact sciences and technology</subject><subject>Finite element analysis</subject><subject>functional</subject><subject>ICCOCG method</subject><subject>Integrated circuit modeling</subject><subject>Magnetism</subject><subject>Materials science</subject><subject>Mathematical model</subject><subject>Minimization</subject><subject>Norms</subject><subject>Optimization</subject><subject>Other topics in materials science</subject><subject>Physics</subject><subject>remainder matrix</subject><subject>residual</subject><subject>shifted ICCG method</subject><subject>Solid modeling</subject><subject>Studies</subject><subject>Three dimensional</subject><issn>0018-9464</issn><issn>1941-0069</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkc9q3DAQxk1poNukD1B6EZRCL97onyX56G6ym0BCIE3PRpHGjYLXSiX5kIfoO3fMLjmUOQwf8_tmJL6q-szomjHanj_cdrs1p0ysORct1_pdtWKtZDWlqn1frShlpm6lkh-qjzk_o5QNo6vqbzeXuLclOHIBBdI-TCjiROJAOudghHTQW-tKTOSHzeAJ6nvIwc92JHbyZDtPbqFQhon8fApDQep6s9mRWyhP0ZMBvaK-IJcjuJLw4u8JlqPbAKMnHTpfM-Sz6mSwY4ZPx35a_dpePmyu6pu73fWmu6mdaFSpNdhGOt4I9Ug91dwa4z2zVDtu7YAlpRFCKg6tV5Jyo41pfDsIMAynj-K0-n7Y-5Linxly6fch42dHO0Gcc8-UZkJToQSiX_9Dn-Oc8L1IiYYaZrTWSLED5VLMOcHQv6Swt-m1Z7RfAuqXgPoloP4YEHq-HTfb7Ow4JDu5kN-MXEsjuZDIfTlwAQDexqrBBBsm_gENe5j8</recordid><startdate>20130501</startdate><enddate>20130501</enddate><creator>Kitao, Junji</creator><creator>Takahashi, Yasuhito</creator><creator>Fujiwara, Koji</creator><creator>Mifune, Takeshi</creator><creator>Iwashita, Takeshi</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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Although a useful method focused on the maximum diagonal entry in the incomplete Cholesky (IC) preconditioner was already proposed, it cannot always provide the optimal acceleration factor. In this paper, we propose new automatic determination methods based on the minimization of the norms of the remainder matrix, the residual, and the functional in the shifted ICCG method and discuss its effectiveness in the 3-D electromagnetic field analyses using the edge-based finite element method. It is concluded that the proposed methods based on the minimization of the norm of the residual or the functional can determine an appropriate acceleration factor within the acceptable computational cost and improve the convergence property of the shifted ICCG method.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TMAG.2013.2239277</doi><tpages>4</tpages></addata></record> |
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| subjects | Acceleration Analytical models Computational efficiency Convergence Cross-disciplinary physics: materials science rheology Edge-based finite element method Electromagnetic fields Exact sciences and technology Finite element analysis functional ICCOCG method Integrated circuit modeling Magnetism Materials science Mathematical model Minimization Norms Optimization Other topics in materials science Physics remainder matrix residual shifted ICCG method Solid modeling Studies Three dimensional |
| title | Automatic Determination of Acceleration Factor Based on Residual and Functional in Shifted ICCG Method for 3-D Electromagnetic Field Analyses |
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