| Presentation | 2011-10-06 On a Fast and Accurate Evaluation of a Square Element Integration in the Two-dimensional Volume Integral Equation Method Norimasa NAKASHIMA, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A discretization into a linear system of equation needs an integral over a rectangular element in the two-dimensional volume integral equation method. In a typical computation, one considers a double integral over a square element and uses Richmond's approximation formula. This paper presents a fast and accurate estimation of the double integral. We express a integration point in the two-dimensional polar coordinate system and reduce the double integral to a single one. Here, the 3 types of one-dimensional integral are considered according to the position relation between the square elements for matching and integration. Through some numerical experiments, we determine the number of sampling points for the numerical integration for the reduced one-dimensional integral in order that the accuracy may be satisfied a certain value. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Volume integral equation method / Element integration / Richmond's method |
| Paper # | EST2011-68 |
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| Committee | EST |
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| Conference Date | 2011/9/29(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Electronic Simulation Technology (EST) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On a Fast and Accurate Evaluation of a Square Element Integration in the Two-dimensional Volume Integral Equation Method |
| Sub Title (in English) | |
| Keyword(1) | Volume integral equation method |
| Keyword(2) | Element integration |
| Keyword(3) | Richmond's method |
| 1st Author's Name | Norimasa NAKASHIMA |
| 1st Author's Affiliation | Faculty of Information Science and Electrical Engineering, Kyushu University() |
| Date | 2011-10-06 |
| Paper # | EST2011-68 |
| Volume (vol) | vol.111 |
| Number (no) | 224 |
| Page | pp.pp.- |
| #Pages | 6 |
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