| Presentation | 2012-06-01 Acceleration of FGMRES for Method of Moments Combined with Fast Multipole Method Hidetoshi CHIBA, Toru Fukasawa, Hiroaki MIYASHITA, Yoshihiko KONISHI, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this study, we demonstrate an acceleration of flexible generalized minimal residual algorithm (FGMRES) implemented with the method of moments and the fast multipole method (FMM), based on a combined tangential formulation. For the implementation of the FGMRES incorporated with the FMM concept, we propose a new definition of the truncation number for the FMM operator within the inner solver. The proposed truncation number provides an optimal variable preconditioner by controlling the accuracy and computational cost of the inner iteration. Moreover, to further accelerate the convergence, we introduce the concept of a multistage preconditioner. Numerical experiments reveal that our new version of FGMRES, based on the proposed truncation number for the inner solver and the multistage preconditioner, achieves outstanding acceleration of the convergence for large-scale and practical electromagnetic scattering and radiation problems with several levels of geometrical complexity. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Flexible GMRES / Integral equation methods / Method of moments / Combined tangential formulation / PMCHWT / Fast multipole method / Multilevel fast multipole algorithm |
| Paper # | EST2012-5 |
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| Conference Information | |
| Committee | EST |
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| Conference Date | 2012/5/25(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 | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Acceleration of FGMRES for Method of Moments Combined with Fast Multipole Method |
| Sub Title (in English) | |
| Keyword(1) | Flexible GMRES |
| Keyword(2) | Integral equation methods |
| Keyword(3) | Method of moments |
| Keyword(4) | Combined tangential formulation |
| Keyword(5) | PMCHWT |
| Keyword(6) | Fast multipole method |
| Keyword(7) | Multilevel fast multipole algorithm |
| 1st Author's Name | Hidetoshi CHIBA |
| 1st Author's Affiliation | Mitsubishi Electric Corporation() |
| 2nd Author's Name | Toru Fukasawa |
| 2nd Author's Affiliation | Mitsubishi Electric Corporation |
| 3rd Author's Name | Hiroaki MIYASHITA |
| 3rd Author's Affiliation | Mitsubishi Electric Corporation |
| 4th Author's Name | Yoshihiko KONISHI |
| 4th Author's Affiliation | Mitsubishi Electric Corporation |
| Date | 2012-06-01 |
| Paper # | EST2012-5 |
| Volume (vol) | vol.112 |
| Number (no) | 74 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |