Faculty Profiles - TAKAHASHI Toru

Papers - TAKAHASHI Toru

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The fast multipole method on parallel clusters, multicore processors, and graphics processing units Reviewed

Eric Darve, Cris Cecka, Toru Takahashi

Comptes Rendus Mecanique Vol. 339 page： 185-193 2011.1

Eigenvalue analysis for 2D acoustic problem by BEM with SS method Reviewed

Haifeng Gao, Toshiro Matsumoto, Toru Takahashi, Takayuki Yamada

Transactions of the Japan Society for Computational Methods in Engineering Vol. 11 page： 107-110 2011

レベルセット法に基づく三次元要素生成法と設計変数依存型境界条件を考慮したトポロジー最適化法 Reviewed

山田崇恭, 鈴木皓久, 松本敏郎, 高橋徹

日本計算工学会論文集 page： Paper No.19980099 2011

Acoustic design shape and topology sensitivity formulations based on adjoint method and BEM Reviewed

Toshiro Matsumoto, Takayuki Yamada, Toru Takahashi, C.J. Zheng, Shinya Harada

Computer Modeling in Engineering and Sciences Vol. 78 ( 2 ) page： 78-94 2011

Three dimensional acoustic shape sensitivity analysis by means of adjoint variable method and fast multipole boundary element approach Reviewed

C.J. Zheng, H.B. Chen, T. Matsumoto, T. Takahashi

Computer Modeling in Engineering and Sciences Vol. 79 ( 1 ) page： 1-29 2011

Explicit evaluation of hypersingular boundary integral equations for acoustic sensitivity analysis based on direct differentiation method Reviewed

Changjun Zheng, Toshiro Matsumoto, Toru Takahashi, Haibo Chen

Engineering Analysis with Boundary Elements Vol. 35 page： 1225-1235 2011

不規則にdangling bondを含む誘電体ハニカム型ボンド構造内でのレーザ発振現象の有限要素解析 Reviewed

藤井雅留太, 松田仁, 松本敏郎, 高橋徹, 山田崇恭, 植田毅

計算数理工学論文集 Vol. 11 page： 89-94 2011

三次元音響問題における直接微分法に基づく形状感度解析法の定式化 Reviewed

Changjun Zheng, 松本敏郎, 高橋徹, Haibo Chen

日本機械学会論文集 (C編) Vol. 76 ( 771 ) page： 2899-2908 2010

Explicit evaluation of hypersingular boundary integral equation for 3-D Helmholtz equation discretized with constant triangular element Reviewed

Toshiro Matsumoto, Changjun Zheng, Shinya Harada, Toru Takahashi

Journal of Computational Science and Technology Vol. 4 ( 3 ) page： 194-206 2010

A study on optical properties of photonic crystals consisting of hollow rods

G. Fujii, T. Matsumoto, T. Takahashi, T. Ueta

IOP Conf. Series: Materials Science and Engineering Vol. 10 ( 1 ) 2010

誘電体ランダム配置系におけるレーザ発振の有限要素解析 Reviewed

藤井雅留太, 松本敏郎, 高橋徹, 植田毅

計算数理工学論文集 Vol. 10 page： 117-122 2010

GPUによる境界要素法の高速計算 Invited Reviewed

高橋徹

シミュレーション Vol. 28 ( 3 ) page： 23-28 2009.9

GPU-accelerated boundary element method for Helmholtz' equation in three dimensions Reviewed

Toru Takahashi, Tsuyoshi Hamada

International Journal for Numerical Methods in Engineering Vol. 80 ( 10 ) page： 1295 - 1321 2009

Authorship：Lead author Language：English Publishing type：Research paper (scientific journal)

Recently, the application of graphics processing units (GPUs) to scientific computations is attracting a great deal of attention, because GPUs are getting faster and more programmable. In particular, NVIDIA's GPUs called compute unified device architecture enable highly mutlithreaded parallel computing for non-graphic applications. This paper proposes a novel way to accelerate the boundary element method (BEM) for three-dimensional Helmholtz' equation using CUDA. Adopting the techniques for the data caching and the double-single precision floating-point arithmetic, we implemented a GPU-accelerated BEM program for GeForce 8-series GPUs. The program performed 6-23 times faster than a normal BEM program, which was optimized for an Intel's quad-core CPU, for a series of boundary value problems with 8000-128000 unknowns, and it sustained a performance of 167 Gflop/s for the largest problem (1 058 000 unknowns). The accuracy of our BEM program was almost the same as that of the regular BEM program using the double precision floating-point arithmetic. In addition, our BEM was applicable to solve realistic problems. In conclusion, the present GPU-accelerated BEM works rapidly and precisely for solving large-scale boundary value problems for Helmholtz' equation.

境界要素法を用いた弾性体感度解析における随伴変数法の適用 Reviewed

柴田健士朗, 高橋徹, 松本敏郎

計算数理工学論文集 Vol. 9 page： 37-42 2009

連立Poission方程式の基本解を用いた境界要素法と基本解への代表寸法の導入 Reviewed

内藤孝広, 高橋徹, 谷口智, 松本敏郎

計算数理工学論文集 Vol. 7 ( 2 ) page： 313-318 2008

A hardware acceleration of the time domain boundary integral equation method for the wave equation in two dimensions

T. Takahashi, T. Ebisuzaki, K. Koketsu

Engineering Analysis with Boundary Elements Vol. 31 page： 95-102 2007

Authorship：Lead author Language：English Publishing type：Research paper (scientific journal)

We aimed at reducing the runtime of the time domain boundary integral equation method (TDBIEM) for the two-dimensional scalar wave equation by the help of a special-purpose computer MDGRAPE-2, which is a high-performance vector-parallel computer dedicated to computing long-range forces in classical molecular dynamics simulations. To this end, we presented a formulation to make MDGRAPE-2 compute the layer potential that is the most time-consuming in a run of the TDBIEM, considering to minimise the amount of data-transfer between MDGRAPE-2 and the host computer. The newly implemented TDBIEM code using three MDGRAPE-2s boards was about 109 times faster than the conventional code in an analysis of 5400 boundary elements and 640 time steps. We also demonstrated that the present hardware acceleration helps to perform large-scale simulations such as light propagation in photonic crystals.

A fast boundary integral equation method for elastodynamics in time domain and its parallelisation Reviewed

Yoshinori Otani, Toru Takahashi, Naoshi Nishimura

Boundary Element Analysis: Mathematical Aspects and Applications, Lecture Notes in Applied and Computational Mechanics (M. Schanz and O. Steinbach eds.), Springer Vol. 29 page： 161-185 2007

Accelerating boundary integral equation method using a special-purpose computer Reviewed

T. Takahashi, A. Kawai, T. Ebisuzaki

International Journal for Numerical Methods in Engineering Vol. 66 page： 529-548 2006

Authorship：Lead author Language：English Publishing type：Research paper (scientific journal)

We present a new solution to accelerate the boundary integral equation method (BIEM). The calculation time of the BIEM is dominated by the evaluation of the layer potential in the boundary integral equation. We performed this task using MDGRAPE-2, a special -purpose computer designed for molecular dynamics simulations. MDGRAPE-2 calculates pairwise interactions among particles (e.g. atoms and ions) using hardwired-pipeline processors. We combined this hardware with an iterative solver. During the iteration process, MDGRAPE-2 evaluates the layer potential. The rest of the calculation is performed on a conventional PC connected to MDGRAPE-2. We applied this solution to the Laplace and Helmholtz equations in three dimensions. Numerical tests showed that BIEM is accelerated by a factor of 10-100. Our rather naive Solution has a calculation cost of O(N-2 x N-iter), where N is the number of unknowns and Nitr is the number of iterations.

3次元電磁波散乱問題に対するモーメント法のハードウェアアクセラレーション Reviewed

高橋徹, 戎崎俊一

日本情報処理学会論文誌コンピューティングシステム Vol. 14 page： 172-182 2005

A fast boundary element method for the analysis of fiber-reinforced composites based on a rigid-inclusion model Reviewed

Y.J. Liu, N. Nishimura, Y. Otani, T. Takahashi, X.L. Chen, H. Munakata

Journal of Applied Mechanics - Transactions of the ASME Vol. 72 page： 115-128 2005

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Papers - TAKAHASHI Toru