| Presentation | 2019-11-08 On discretisation with the Galerkin method using the Hdiv inner product without the barycentric element for the EFIE Kazuki Niino, Naoshi Nishimura, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A novel discretisation method for the electric field integral equation~(EFIE) based on the Galerkin method using the $H_{rm div}$ inner product is discussed. The Galerkin method using the $H_{rm div}$ inner product is one of methods to discretise the EFIE into a well-conditioned equation. We show that the formulation based on this discretisation method is almost (but not exactly) identical with that of the EFIE preconditoined with the Calder'{o}n preconditioning. This leads us to apply the discretisation method without the barycentric elements, which has been developed for the EFIE with Calder'{o}n's preconditoining, to the discretisation using the $H_{rm div}$ inner product. This numerical method is validated through a numerical example. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | $H_{rm div}$ inner product / EFIE / Galerkin method |
| Paper # | EMT2019-63 |
| Date of Issue | 2019-10-31 (EMT) |
| Conference Information | |
| Committee | EMT / IEE-EMT |
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| Conference Date | 2019/11/7(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Hotel Syunkeiya |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Electromagnetic Theory, etc. |
| Chair | Koichi Hirayama(Kitami Inst. of Tech.) / Keiji Goto(National Defense Academy) |
| Vice Chair | Hiroyuki Deguchi(Doshisha Univ.) |
| Secretary | Hiroyuki Deguchi(Fukuoka Inst.of Tech.) / (Tokyo Metropolitan Univ.) |
| Assistant | Junichiro Sugisaka(Kitami Inst. of Tech.) / Tsuyoshi Matsuoka(Kyushu Sangyo Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Electromagnetic Theory / Technical Meeting on Electromagnetic Theory |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On discretisation with the Galerkin method using the Hdiv inner product without the barycentric element for the EFIE |
| Sub Title (in English) | |
| Keyword(1) | $H_{rm div}$ inner product |
| Keyword(2) | EFIE |
| Keyword(3) | Galerkin method |
| 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.) |
| Date | 2019-11-08 |
| Paper # | EMT2019-63 |
| Volume (vol) | vol.119 |
| Number (no) | EMT-272 |
| Page | pp.pp.161-164(EMT), |
| #Pages | 4 |
| Date of Issue | 2019-10-31 (EMT) |