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Paper Abstract and Keywords
Presentation 2021-11-04 13:00
On the Calderon preconditioning with an oblique mesh for the isogeometric boundary element method for the Maxwell equations
Yuusuke Takeuchi, Kazuki Niino (Kyoto Univ.) EMT2021-29 Link to ES Tech. Rep. Archives: EMT2021-29
Abstract (in Japanese) (See Japanese page) 
(in English) In this study, we consider the Calderón’s preconditioning on oblique meshes in the isogeometric bound- ary element method using the collection method for Maxwell’s equations.When Calderón’s preconditioning is used for the EFIE (Electric Field Integral Equation) discretized with the collection method, a dual basis function is required for discretization, and it has been shown in previous studies that the dual basis function can be easily con- structed if each side of quadrilateral meshes is orthogonal. In this study, we show that Calderon’s preconditioning can be implemented for oblique meshes in the same way as for orthogonal ones. The proposed method is verified through some numerical examples.
Keyword (in Japanese) (See Japanese page) 
(in English) Isogeometric boundary element method / collocation / Calderón’s preconditioning / / / / /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 226, EMT2021-29, pp. 7-9, Nov. 2021.
Paper # EMT2021-29 
Date of Issue 2021-10-28 (EMT) 
ISSN Online edition: ISSN 2432-6380
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF EMT2021-29 Link to ES Tech. Rep. Archives: EMT2021-29

Conference Information
Committee EMT IEE-EMT  
Conference Date 2021-11-04 - 2021-11-05 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Electromagnetic Theory, etc. 
Paper Information
Registration To EMT 
Conference Code 2021-11-EMT-EMT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On the Calderon preconditioning with an oblique mesh for the isogeometric boundary element method for the Maxwell equations 
Sub Title (in English)  
Keyword(1) Isogeometric boundary element method  
Keyword(2) collocation  
Keyword(3) Calderón’s preconditioning  
1st Author's Name Yuusuke Takeuchi  
1st Author's Affiliation Kyoto University (Kyoto Univ.)
2nd Author's Name Kazuki Niino  
2nd Author's Affiliation Kyoto University (Kyoto Univ.)
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Speaker Author-1 
Date Time 2021-11-04 13:00:00 
Presentation Time 25 minutes 
Registration for EMT 
Paper # EMT2021-29 
Volume (vol) vol.121 
Number (no) no.226 
Page pp.7-9 
Date of Issue 2021-10-28 (EMT) 

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