Convergence Acceleration of Time-Periodic Electromagnetic Field Analysis by the Singularity Decomposition-Explicit Error Correction Method
This paper proposes a novel method for the improvement of the convergence to a steady state in time-periodic transient nonlinear eddy-current analyses. The proposed method, which is based on the time-periodic finite element method and the singularity decomposition-explicit error correction method, c...
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| Veröffentlicht in: | IEEE transactions on magnetics 2010-08, Vol.46 (8), p.2947-2950 |
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| container_title | IEEE transactions on magnetics |
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| creator | Takahashi, Yasuhito Tokumasu, Tadashi Kameari, Akihisa Kaimori, Hiroyuki Fujita, Masafumi Iwashita, Takeshi Wakao, Shinji |
| description | This paper proposes a novel method for the improvement of the convergence to a steady state in time-periodic transient nonlinear eddy-current analyses. The proposed method, which is based on the time-periodic finite element method and the singularity decomposition-explicit error correction method, can extract poorly converged error components corresponding to the large time constants of an analyzed system. The correction of the extracted error components efficiently accelerates the convergence to a steady state. Numerical results verify the effectiveness of the proposed method. |
| doi_str_mv | 10.1109/TMAG.2010.2043721 |
| format | Article |
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The proposed method, which is based on the time-periodic finite element method and the singularity decomposition-explicit error correction method, can extract poorly converged error components corresponding to the large time constants of an analyzed system. The correction of the extracted error components efficiently accelerates the convergence to a steady state. Numerical results verify the effectiveness of the proposed method.</description><identifier>ISSN: 0018-9464</identifier><identifier>EISSN: 1941-0069</identifier><identifier>DOI: 10.1109/TMAG.2010.2043721</identifier><identifier>CODEN: IEMGAQ</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Acceleration ; Convergence ; Cross-disciplinary physics: materials science; rheology ; Decomposition ; Electromagnetic analysis ; Electromagnetic fields ; Error correction ; Exact sciences and technology ; Explicit error correction (EEC) method ; Finite element methods ; Magnetic analysis ; Magnetism ; Materials science ; Mathematical analysis ; Mathematical models ; Other topics in materials science ; Physics ; Power system transients ; Singularities ; Steady state ; time-periodic finite element method (TPFEM) ; Transient analysis</subject><ispartof>IEEE transactions on magnetics, 2010-08, Vol.46 (8), p.2947-2950</ispartof><rights>2015 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Aug 2010</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c421t-73a7aec9fea7ba5809814a2309a5264983570170ddee42f507c0e45273eb4fe23</citedby><cites>FETCH-LOGICAL-c421t-73a7aec9fea7ba5809814a2309a5264983570170ddee42f507c0e45273eb4fe23</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5512854$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>310,311,315,781,785,790,791,797,23931,23932,25141,27925,27926,54759</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5512854$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=23075671$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Takahashi, Yasuhito</creatorcontrib><creatorcontrib>Tokumasu, Tadashi</creatorcontrib><creatorcontrib>Kameari, Akihisa</creatorcontrib><creatorcontrib>Kaimori, Hiroyuki</creatorcontrib><creatorcontrib>Fujita, Masafumi</creatorcontrib><creatorcontrib>Iwashita, Takeshi</creatorcontrib><creatorcontrib>Wakao, Shinji</creatorcontrib><title>Convergence Acceleration of Time-Periodic Electromagnetic Field Analysis by the Singularity Decomposition-Explicit Error Correction Method</title><title>IEEE transactions on magnetics</title><addtitle>TMAG</addtitle><description>This paper proposes a novel method for the improvement of the convergence to a steady state in time-periodic transient nonlinear eddy-current analyses. The proposed method, which is based on the time-periodic finite element method and the singularity decomposition-explicit error correction method, can extract poorly converged error components corresponding to the large time constants of an analyzed system. The correction of the extracted error components efficiently accelerates the convergence to a steady state. Numerical results verify the effectiveness of the proposed method.</description><subject>Acceleration</subject><subject>Convergence</subject><subject>Cross-disciplinary physics: materials science; rheology</subject><subject>Decomposition</subject><subject>Electromagnetic analysis</subject><subject>Electromagnetic fields</subject><subject>Error correction</subject><subject>Exact sciences and technology</subject><subject>Explicit error correction (EEC) method</subject><subject>Finite element methods</subject><subject>Magnetic analysis</subject><subject>Magnetism</subject><subject>Materials science</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Other topics in materials science</subject><subject>Physics</subject><subject>Power system transients</subject><subject>Singularities</subject><subject>Steady state</subject><subject>time-periodic finite element method (TPFEM)</subject><subject>Transient analysis</subject><issn>0018-9464</issn><issn>1941-0069</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkUFrGzEQhUVpoG7SH1B6EZTS06aSVlqtjsZ10kJCAnXPi6yddRS0K3ckl_ov9FdXi00OPQ2P-eYNj0fIe86uOWfmy-Z-eXstWJGCyVoL_oosuJG8Yqwxr8mCMd5WRjbyDXmb0nORUnG2IH9XcfoNuIPJAV06BwHQZh8nGge68SNUj4A-9t7RdQCXMY52N0Eu-sZD6OlysuGYfKLbI81PQH_4aXcIFn0-0q_g4riPyc-G1frPPnjnM10jRqSriFgM51f3kJ9if0UuBhsSvDvPS_LzZr1ZfavuHm6_r5Z3lZOC50rXVltwZgCrt1a1zLRcWlEzY5VopGlrpRnXrO8BpBgU046BVELXsJUDiPqSfD757jH-OkDK3ehTCR7sBPGQOt1q0WhjWCE__kc-xwOWwKnjTGhRK8FnP36iHMaUEIZuj360eCxQN5fTzeV0cznduZxy8-nsbJOzYUA7OZ9eDksarRo9cx9OnAeAl7VSXLRK1v8A7Y6ZQQ</recordid><startdate>20100801</startdate><enddate>20100801</enddate><creator>Takahashi, Yasuhito</creator><creator>Tokumasu, Tadashi</creator><creator>Kameari, Akihisa</creator><creator>Kaimori, Hiroyuki</creator><creator>Fujita, Masafumi</creator><creator>Iwashita, Takeshi</creator><creator>Wakao, Shinji</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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| subjects | Acceleration Convergence Cross-disciplinary physics: materials science rheology Decomposition Electromagnetic analysis Electromagnetic fields Error correction Exact sciences and technology Explicit error correction (EEC) method Finite element methods Magnetic analysis Magnetism Materials science Mathematical analysis Mathematical models Other topics in materials science Physics Power system transients Singularities Steady state time-periodic finite element method (TPFEM) Transient analysis |
| title | Convergence Acceleration of Time-Periodic Electromagnetic Field Analysis by the Singularity Decomposition-Explicit Error Correction Method |
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