Faculty Profiles - TAKAHASHI Toru

Papers - TAKAHASHI Toru

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A topology optimisation of composite elastic metamaterial slabs based on the manipulation of far-field behaviours

Matsushima Kei, Isakari Hiroshi, Takahashi Toru, Matsumoto Toshiro

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION Vol. 63 ( 1 ) page： 231 - 243 2021.1

A numerical method for elastic wave scattering in multi-layered periodic media based on the scattering matrix and BEM Open Access

Matsushima, K; Isakari, H; Takahashi, T; Matsumoto, T

MECHANICAL ENGINEERING JOURNAL Vol. 8 ( 1 ) 2021

Level-set based topology optimization of transient flow using lattice Boltzmann method considering an oscillating flow condition Open Access

Nguyen Truong, Isakari Hiroshi, Takahashi Toru, Yaji Kentaro, Yoshino Masato, Matsumoto Toshiro

COMPUTERS & MATHEMATICS WITH APPLICATIONS Vol. 80 ( 1 ) page： 82 - 108 2020.7

Parallelization of the inverse fast multipole method with an application to boundary element method Reviewed Open Access

Toru Takahashi, Chao Chen, Eric Darve

Computer Physics Communications Vol. 247 2020.2

Language：Japanese Publishing type：Research paper (scientific journal)

We present an algorithm to parallelize the inverse fast multipole method (IFMM), which is an approximate direct solver for dense linear systems. The parallel scheme is based on a greedy coloring algorithm, where two nodes in the hierarchy with the same color are separated by at least σ nodes. We proved that when σ ≥ 6, the workload associated with one color is embarrassingly parallel. However, the number of nodes in a group (color) may be small when σ = 6. Therefore, we also explored σ = 3, where a small fraction of the algorithm needs to be serialized, and the overall parallel efficiency was improved. We implemented the parallel IFMM using OpenMP for shared-memory machines. Successively, we applied it to a fast-multipole accelerated boundary element method (FMBEM) as a preconditioner, and compared its efficiency with (a) the original IFMM parallelized by linking a multi-threaded linear algebra library and (b) the commonly used parallel block-diagonal preconditioner. Our results showed that our parallel IFMM achieved at most 4 × and 11 × speedups over the reference method (a) and (b), respectively, in realistic examples involving more than one million variables.

DOI： 10.1016/j.cpc.2019.106975

Web of Science

arXiv

A framework of shape optimisation based on the isogeometric boundary element method toward designing thin-silicon photovoltaic devices

Takahashi Toru, Yamamoto Tatsuro, Shimba Yuta, Isakari Hiroshi, Matsumoto Toshiro

ENGINEERING WITH COMPUTERS Vol. 35 ( 2 ) page： 423 - 449 2019.4

A Numerical Method for Computing the Scattering Matrix by the Boundary Element Method with Applications to Phononic Band Analysis

Matsushima K., Isakari H., Takahashi T., Matsumoto T.

2019 THIRTEENTH INTERNATIONAL CONGRESS ON ARTIFICIAL MATERIALS FOR NOVEL WAVE PHENOMENA (METAMATERIALS)) page： 248 - 250 2019

3次元音響問題に関するisogeometric BEMに基づく形状感度解析 Reviewed

高橋徹, 平井哲郎, 佐藤大輔, 飯盛浩司, 松本敏郎

計算数理工学論文集 Vol. 18 page： 69-74 2018.12

Application of the inverse fast multipole method as a preconditioner in a 3D Helmholtz boundary element method Open Access

Takahashi Toru, Coulier Pieter, Darve Eric

JOURNAL OF COMPUTATIONAL PHYSICS Vol. 341 page： 406 - 428 2017.7

A level-set-based topology optimisation for acoustic-elastic coupled problems with a fast BEM-FEM solver Open Access

Isakari Hiroshi, Kondo Toyohiro, Takahashi Toru, Matsumoto Toshiro

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING Vol. 315 page： 501 - 521 2017.3

A level-set-based topology optimisation of carpet cloaking devices with the boundary element method

Nakamoto Kenta, Isakari Hiroshi, Takahashi Toru, Matsumoto Toshiro

MECHANICAL ENGINEERING JOURNAL Vol. 4 ( 1 ) 2017

An efficient blocking M2L translation for low-frequency fast multipole method in three dimensions Reviewed

Toru Takahashi, Yuta Shimba, Hiroshi Isakari, Toshiro Matsumoto

Computer Physics Communications Vol. 202 page： 151-164 2016

2次元音響問題における境界要素法を用いたインピーダンス境界を有する散乱体のトポロジー最適化 Reviewed

花田萌美, 飯盛浩司, 高橋徹, 松本敏郎

計算数理工学論文集 Vol. 15 page： 37-42 2015

Helmholtz方程式の境界値問題に関連する固有値のトポロジー導関数と高速直接境界要素法を用いたその数値計算 Reviewed

飯盛浩司, 北林達也, 高橋徹, 松本敏郎

計算数理工学論文集 Vol. 15 page： 31-36 2015

境界要素法を用いたクローキングデバイスのレベルセット法に基づくトポロジー最適化 Reviewed

中本謙太, 飯盛浩司, 高橋徹, 松本敏郎

計算数理工学論文集 Vol. 15 page： 55-60 2015

Level set-based topology optimization for 2D heat conduction problems using BEM with objective function defined on design-dependent boundary with heat transfer boundary condition Reviewed

Jing G., Isakari H., Matsumoto T., Yamada T.,Takahashi T.

Engineering analysis with boundary elements Vol. 61 page： 61-70 2015

Task-based FMM for heterogeneous architectures Reviewed Open Access

Emmanuel Agullo, Berenger Bramas, Olivier Coulaud, Eric Darve, Matthias Messner, Toru Takahashi

Concurrency and Computation: Practice and Experience 2015

An interpolation-based fast-multipole accelerated boundary integral equation method for the three-dimensional wave equation Reviewed

Toru Takahashi

Journal of Computational Physics Vol. 258 ( 1 ) page： 809-832 2014.2

Task-based FMM for multicore architectures Reviewed Open Access

Emmanuel Agullo, Bérenger Bramas, Olivier Coulaud, Eric Darve, Matthias Messner, Toru Takahashi

SIAM Journal on Scientific Computing Vol. 36 ( 1 ) page： C66-C93 2014.2

Language：English Publishing type：Research paper (scientific journal)

Fast multipole methods (FMM) are a fundamental operation for the simulation of many physical problems. The high-performance design of such methods usually requires to carefully tune the algorithm for both the targeted physics and the hardware. In this paper, we propose a new approach that achieves high performance across architectures. Our method consists of expressing the FMM algorithm as a task flow and employing a state-of-the-art runtime system, StarPU, to process the tasks on the different computing units. We carefully design the task flow, the mathematical operators, their implementations, and scheduling schemes. Potentials and forces on 200 million particles are computed in 42.3 seconds on a homogeneous 160-core SGI Altix UV 100 and good scalability is shown.

DOI： DOI: 10.1137/130915662

Investigation of finite/infinite unidirectional elastic phononic plates by BEM Reviewed

Haifeng Gao, Toshiro Matsumoto, Toru Takahashi, Hiroshi Isakari

Engineering Analysis with Boundary Elements Vol. 40 page： 93-103 2014

A topology optimisation for three-dimensional acoustics with the level set method and the fast multipole boundary element method Reviewed

Hiroshi Isakari, Kohei Kuriyama, Shinya Harada, Takayuki Yamada, Toru Takahashi, Toshiro Matsumoto

Mechanical Engineering Journal Vol. 1 ( 4 ) 2014

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Papers - TAKAHASHI Toru