Fast direct solvers for the boundary element method in 3D and their applications to optimal design problems
| Project/Area Number |
26870269
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Computational science
Design engineering/Machine functional elements/Tribology
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| Research Institution | Nagoya University |
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Principal Investigator |
Isakari Hiroshi 名古屋大学, 工学(系)研究科(研究院), 助教 (50638773)
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| Project Period (FY) |
2014-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
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| Keywords | 境界要素法 / 高速直接解法 / トポロジー最適化 / トポロジー導関数 / 感度解析 / 随伴変数法 / 波動問題 |
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| Outline of Final Research Achievements |
This study aims at developing fast direct solvers for boundary element method and efficient topology optimisations with the direct solvers. We have studied three types of the fast direct solvers; an interpolative-decomposition (ID)-based method, adaptive cross approximations with the H-matrix algebra, and the fast multipole (FMM) combined with a multifraontal solver for algebraic equations. With the proposed solvers, we have developed topology optimisations for wave devices. We have confirmed that an optimal design problem for sound-proof device, which is one of the important issues in engineering, can efficiently be solved by the proposed optimisation method.
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Report
(3 results)
Research Products
(35 results)
