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| Presentation | 2023-05-18 15:50 [Invited Talk] Discretisation of boundary integral equations based on collocation for Maxwell's equations with the isogeometric analysis Kazuki Niino, Naoshi Nishimura (Kyoto Univ.)  MW2023-11 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | As to discretisation of boundary integral equations, one of widely-used discretisation method for Maxwell's equations is the Galerkin method with the use of the Rao-Wilton-Glisson~(RWG) basis function. Although the Nystrom method, which utilises quadrature points for collocation, is another promising discretisation for Maxwell's equations, a standard collocation method, which is also a typical discretisation method used for other equations such as the Laplace or Helmholtz equations, is not frequently used in the case of the Maxwell. This is because discretisation with naive collocation and the RWG basis function causes divergence of an integral due to the strong singularity in the integral operator for Maxwell's equations. In this article we propose a discretisation method with collocation and the isogeometric analysis for several formulations of boundary integral equations. We show that collocation discretisation can be applied to integral equations with the strong singularity since the isogeometric analysis smoothly interpolates a shape of domains and unknown functions. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Method of moments / isogeometric analysis / collocation / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 123, no. 35, MW2023-11, pp. 12-17, May 2023. | |
| Paper # | MW2023-11 | |
| Date of Issue | 2023-05-11 (MW) | |
| ISSN | Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
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 | MW2023-11 |
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| Conference Information | |
| Committee | MW |
| Conference Date | 2023-05-18 - 2023-05-19 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Ritsumeikan University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Microwave, etc. |
| Paper Information | |
| Registration To | MW |
| Conference Code | 2023-05-MW |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Discretisation of boundary integral equations based on collocation for Maxwell's equations with the isogeometric analysis |
| Sub Title (in English) | |
| Keyword(1) | Method of moments |
| Keyword(2) | isogeometric analysis |
| Keyword(3) | collocation |
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| 1st Author's Name | Kazuki Niino |
| 1st Author's Affiliation | Kyoto University (Kyoto Univ.) |
| 2nd Author's Name | Naoshi Nishimura |
| 2nd Author's Affiliation | Kyoto University (Kyoto Univ.) |
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| Speaker | Author-1 |
| Date Time | 2023-05-18 15:50:00 |
| Presentation Time | 50 minutes |
| Registration for | MW |
| Paper # | MW2023-11 |
| Volume (vol) | vol.123 |
| Number (no) | no.35 |
| Page | pp.12-17 |
| #Pages | 6 |
| Date of Issue | 2023-05-11 (MW) |
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