Faculty Profiles - TAKAHASHI Toru

Papers - TAKAHASHI Toru

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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.

DOI： 10.1002/nme.1566

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 Open Access

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

専用計算機による3次元静弾性問題に対する境界積分方程式法の高速計算 Reviewed

高橋徹, 戎崎俊一

日本機械学会論文集 (A編) Vol. 71 page： 1620-1625 2005

改良円錐孔底法による地山応力測定 Reviewed Open Access

小林昭一, 高橋徹, 吉川太, 吉田次男

材料 Vol. 52 ( 5 ) page： 500-504 2003

A fast BIEM for three-dimensional elastodynamics in time domain, Engineering Analysis with Boundary Elements Reviewed

T. Takahashi, N. Nishimura, S. Kobayashi

Engineering Analysis with Boundary Elements Vol. 27 page： 491-506 2003

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

A fast boundary integral equation method for three-dimensional (313) elastodynamics in time domain is proposed. We discuss in detail the plane wave time domain (PWTD) algorithm in 3D elastodynamics, whose complexity is O(N-s log(2)N(s)N(t)) or O((NsNt)-N-3/2), depending on the choice of the algorithms for the Legendre transform, where N-s and N-t are the spatial and temporal degrees of freedom, respectively. An O((NsNt)-N-3/2) implementation is made, whose efficiency is demonstrated in problems of the size of N-s = O(10(4)).

2次元時間域動弾性問題に対する高速境界積分方程式法 Reviewed

高橋徹, 西村直志, 小林昭一

日本機械学会論文集 (A編) Vol. 67 ( 661 ) page： 1409-1416 2001

多重極積分方程式法による3次元定常Stokes流の解析 Reviewed

高橋徹, 浪江雅幸, 西村直志, 小林昭一

BTEC論文集 Vol. 10 page： 1-4 2000

パネルクラスタリング積分方程式法による二次元拡散方程式の高速解法 Reviewed

高橋徹, 西村直志, 小林昭一

日本機械学会論文集 (A編) Vol. 66 ( 647 ) page： 1268-1273 2000

改良型円錐孔底応力解放法への多重極積分方程式法の適用 Reviewed

高橋徹, 小林昭一, 西村直志

境界要素法論文集 Vol. 15 page： 105-110 1998

境界要素法による長大な埋設構造物のガルバニック腐食解析 --- 土壌の電気伝導率がゆるやかに変化する場合 Reviewed Open Access

青木繁, 高橋徹, 浦郷正隆, 天谷賢治, 西川明伸

材料 Vol. 46 ( 2 ) page： 170-175 1997

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