Updated on 2025/03/19
博士(工学) （ 2002.3 京都大学 ）
工学修士 （ 1998.3 東京工業大学 ）
工学学士 （ 1996.3 東京工業大学 ）
Computational mechanics
Applied mechanics
Informatics / Computational science
Study on fast multipole boundary integral equation methods
GPU-accelerated computing in science and engineering
Lecturer, Graduate School of Engineering, Nagoya University
2009.10 - 2015.9
Country：Japan
Visiting Researcher, RIKEN
2007.5 - 2016.3
Country：Japan
Assistant Professor, Graduate School of Engineering, Nagoya University
2007.4 - 2009.9
Country：Japan
Research fellow (San-gaku-kan renkei kenkyu-in), Earthquake Research Institute, The University of Tokyo
2006.4 - 2007.3
Country：Japan
Special Postdoctoral Researcher, RIKEN
2003.4 - 2006.3
Country：Japan
Part-time Lecturer, Toyo University
2003.4 - 2006.3
Country：Japan
Postdoc (Kyouryoku kenkyu-in), RIKEN
2002.4 - 2003.3
Country：Japan
Kyoto University Graduate School, Division of Engineering Global Earth Engineering
1998.4 - 2002.3
Country： Japan
Tokyo Institute of Technology Graduate School, Division of Science and Engineering Mechanical Engineering Science
1996.4 - 1998.3
Country： Japan
Tokyo Institute of Technology Faculty of Engineering Mechanical Engineering Science
1992.4 - 1996.3
Country： Japan
日本機械学会
日本物理学会
日本計算数理工学会 理事
2010.4
日本建築学会
Jiang, FH; Takahashi, T; Zheng, CJ; Matsumoto, T; Chen, HB
JOURNAL OF COMPUTATIONAL PHYSICS Vol. 520 2025.1
Cui, Y; Yang, WZ; Takahashi, T; Matsumoto, T
COMPUTERS & STRUCTURES Vol. 300 2024.8
Designing gradient coils with the shape derivative and the closed B-spline curves
Takahashi, T
MAGNETIC RESONANCE IMAGING Vol. 110 page： 112 - 127 2024.7
Takahashi, T
ENGINEERING WITH COMPUTERS 2024.5
A time-domain boundary element method for the 3D dissipative wave equation: Case of Neumann problems Reviewed
Takahashi, T
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Vol. 124 ( 23 ) page： 5263 - 5292 2023.12
A fast time-domain boundary element method for three-dimensional electromagnetic scattering problems Reviewed
Takahashi, T
JOURNAL OF COMPUTATIONAL PHYSICS Vol. 482 2023.6
An exact volume constraint method for topology optimization via reaction-diffusion equation
Cui, Y; Takahashi, T; Matsumoto, T
COMPUTERS & STRUCTURES Vol. 280 2023.5
Takahashi, T; Miyazawa, N; Tanigawa, M
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Vol. 124 ( 2 ) page： 482 - 512 2023.1
A topology optimization of open acoustic waveguides based on a scattering matrix method
Matsushima, K; Isakari, H; Takahashi, T; Matsumoto, T
WAVE MOTION Vol. 113 2022.8
A robust topology optimisation for wideband structures in acoustic-elastodynamic coupled fields
Qin, JC; Isakari, H; Takahashi, T; Matsumoto, T
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS Vol. 140 page： 544 - 561 2022.7
Takahashi, T; Hirai, T; Isakari, H; Matsumoto, T
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS Vol. 136 page： 37 - 54 2022.3
Takahashi, T; Tanigawa, M; Miyazawa, N
COMPUTER PHYSICS COMMUNICATIONS Vol. 271 2022.2
Takahashi, T; Sato, D; Isakari, H; Matsumoto, T
COMPUTER-AIDED DESIGN Vol. 142 2022.1
Cui, Y; Takahashi, T; Matsumoto, T
MECHANICAL ENGINEERING JOURNAL Vol. 9 ( 6 ) 2022
Topology optimization for incompressible viscous fluid flow using the lattice kinetic scheme
Xie, SQ; Yaji, K; Takahashi, T; Isakari, H; Yoshino, M; Matsumoto, T
COMPUTERS & MATHEMATICS WITH APPLICATIONS Vol. 97 page： 251 - 266 2021.9
A robust topology optimization for enlarging working bandwidth of acoustic devices
Qin, JC; Isakari, H; Taji, K; Takahashi, T; Matsumoto, T
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Vol. 122 ( 11 ) page： 2694 - 2711 2021.6
Matsushima Kei, Isakari Hiroshi, Takahashi Toru, Matsumoto Toshiro
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION Vol. 63 ( 1 ) page： 231 - 243 2021.1
Matsushima, K; Isakari, H; Takahashi, T; Matsumoto, T
MECHANICAL ENGINEERING JOURNAL Vol. 8 ( 1 ) 2021
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
Toru Takahashi, Chao Chen, Eric Darve
Computer Physics Communications Vol. 247 2020.2
Takahashi Toru, Yamamoto Tatsuro, Shimba Yuta, Isakari Hiroshi, Matsumoto Toshiro
ENGINEERING WITH COMPUTERS Vol. 35 ( 2 ) page： 423 - 449 2019.4
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
Takahashi Toru, Coulier Pieter, Darve Eric
JOURNAL OF COMPUTATIONAL PHYSICS Vol. 341 page： 406 - 428 2017.7
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
Task-based FMM for heterogeneous architectures Reviewed
Emmanuel Agullo, Berenger Bramas, Olivier Coulaud, Eric Darve, Matthias Messner, Toru Takahashi
Concurrency and Computation: Practice and Experience 2015
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
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
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
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
3次元音響問題におけるレベルセット法と高速多重極境界要素法に基づく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
近藤豊大, 飯盛浩司, 高橋徹, 松本敏郎
計算数理工学論文集 Vol. 14 page： 19-24 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 and Toshiro Matsumoto
Mechanical Engineering Journa Vol. 1 ( 4 ) page： CM0039 2014
Topological sensitivity of objective function defined on morphing boundaries of two dimensional heat conduction problems Reviewed
Jing G., Isakari H., Matsumoto T., Takahashi T., Yamada T.
WIT Transactions on Modelling and Simulation Vol. 57 page： 3-11 2014
Level Set-Based Topology Optimization of Two Dimensional Heat Conduction Problems using the Boundary Element Method Reviewed
Jing G, Isakari H., Matsumoto T. Takahashi T. Yamada T
Proceedings of the Twelfth International Conference on Computational Structures Technology page： - 2014
Topology optimization for 2D heat conduction problems using boundary element method and level set method Reviewed
Guoxian JING, Toshiro MATSUMOTO, Toru TAKAHASHI, Hiroshi ISAKARI, Takayuki YAMADA
Transactions of the Japan Society for Computational Methods in Engineering Vol. 13 page： 91-96 2013
3次元電磁波動問題における境界要素法を用いたトポロジー感度解析とそのレベルセット法に基づく構造最適化への応用について Reviewed
興梠洋一, 飯盛浩司, 高橋徹, 山田崇恭, 松本敏郎
計算数理工学論文集 Vol. 13 page： 55-60 2013
A study on eigensolutions of 2D elastic problem by using BEM and FEM Reviewed
Haifeng GAO, Toru TAKAHASHI, Hiroshi ISAKARI, Toshiro MATSUMOTO
Transactions of the Japan Society for Computational Methods in Engineering Vol. 13 page： 49-54 2013
レベルセット法と境界要素法を用いた二次元電磁波動問題におけるトポロジー最適化について Reviewed
阿部史昌, 飯盛浩司, 高橋徹, 松本敏郎
計算数理工学論文集 Vol. 13 page： 37-42 2013
Analysis of band structure for 2D acoustic phononic structure by BEM and the block SS method Reviewed
H. F. Gao, T. Matsumoto, T. Takahashi, H. Isakari
Computer Modeling in Engineering and Sciences Vol. 90 ( 4 ) page： 283-301 2013
Eigenvalue analysis for acoustic problem in 3D by boundary element method with the block SakuraiSugiura method Reviewed
Gao H. F., Matsumoto T., Takahashi T., Isakari H.
Engineering Analysis with Boundary Elements Vol. 37 page： 914-923 2013
An application of fast multipole method to isogeometric boundary element method for Laplace equation in two dimensions Reviewed
Toru Takahashi, Toshiro Matsumoto
Engineering Analysis with Boundary Elements Vol. 36 ( 12 ) page： 1766-1775 2012.12
Beaming of inplane elastic waves through a subwavelength channel with periodic corrugations Reviewed
Toru Takahashi, Kouhei Kuriyama, Toshiro Matsumoto
Applied Physics Letters Vol. 101 ( 12 ) page： 124101 2012.9
A wideband fast multipole accelerated boundary integral equation method for time-harmonic elastodynamics in two dimensions Reviewed
Toru Takahashi
International Journal for Numerical Methods in Engineering Vol. 91 ( 5 ) page： 531-551 2012.8
Optimization of the parallel black-box fast multipole method on CUDA Reviewed
Toru Takahashi, Cris Cecka, Eric Darve
Innovative Parallel Computing (InPar), 2012 page： 1-14 2012.5
Optimizing the multipole-to-local operator in the fast multipole method for graphical processing units Reviewed
Toru Takahashi, Cris Cecka, William Fong, Eric Darve
International Journal for Numerical Methods in Engineering Vol. 89 ( 1 ) page： 105-133 2012.1
A wideband fast multipole boundary element method for three dimensional acoustic shape sensitivity analysis based on direct differentiation method Reviewed
Changjun Zheng, Toshiro Matsumoto, Toru Takahashi, Haibo Chen
Engineering Analysis with Boundary Elements Vol. 36 page： 361-371 2012
Finite element analysis of laser modes within photonic random media Reviewed
G. Fujii, T. Matsumoto, T. Takahashi, T. Ueta
Journal of Physics B: Atomic, Molecular and Optical Physics Vol. 45 ( 085404 ) 2012
3D acoustic shape sensitivity analysis using fast multipole boundary element method Reviewed
C.J. Zheng, H.B. Chen, T. Matsumoto, T. Takahashi
International Journal of Computational Methods Vol. 9 ( 1 ) page： 1240004-1-1240004-11 2012
誘電体ランダム配置系におけるレーザ発振の系内電場強度依存性に関する研究 Reviewed
藤井雅留太, 松本敏郎, 高橋徹, 山田崇恭, 植田毅
電気学会論文誌C Vol. 132 ( 1 ) page： 89-95 2012
三次元境界要素法を用いたレベルセット法に基づくトポロジー最適化 Reviewed
志知晋一郎, 山田崇恭, 鈴木皓久, 松本敏郎, 高橋徹
日本機械学会論文集(C編) Vol. 78 ( 785 ) page： 228-239 2012
レベルセット法に基づく境界要素法を用いた定常動弾性問題のトポロジー最適化 Reviewed
志知晋一郎, 山田崇恭, 松本敏郎, 高橋徹
計算数理工学論文集 Vol. 12 page： No.01-121212 2012
Study on transition from photonic-crystal laser to random laser Reviewed
G. Fujii, T. Matsumoto, T. Takahashi, T. Ueta
Optics Express Vol. 20 ( 7 ) page： 7300-7315 2012
A study on the effect of filling factor for laser action in dielectric random media Reviewed
G. Fujii, T. Matsumoto, T. Takahashi, T. Ueta
Appl. Phys. A Vol. 107 ( 1 ) page： 35-42 2012
Analysis of acoustic transmission for one directional periodic bounded structure in 2D by BEM Reviewed
GAO Haifeng, MATSUMOTO Toshiro, TAKAHASHI Toru, ISAKARI Hiroshi
Transactions of the Japan Society for Computational Methods in Engineering Vol. 12 page： 67-72 2012
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
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
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
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
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
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
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
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
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
改良円錐孔底法による地山応力測定 Reviewed
小林昭一, 高橋徹, 吉川太, 吉田次男
材料 Vol. 52 ( 5 ) page： 500-504 2003
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
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
境界要素法の高速化
高橋徹
日本学術会議 第４回計算力学シンポジウム
境界要素法とレベルセット法を 用いた2次元電磁波動問題におけ る多目的トポロジー最適化
北林達也, 飯盛浩司, 高橋徹, 松本敏郎
日本機械学会 第27回計算力学講演会（CMD2014）
格子ボルツマン法による3次元流れ場のトポロジー最適化
原 彰宏, 松本敏郎, 山田崇恭, 高橋徹, 飯盛浩司
日本機械学会 第27回計算力学講演会（CMD2014）
GPU統合型CPUを用いた二次元ヘルムホルツ方程式に対する境界要素法の高速化
大澤尚希, 高橋徹, 吉田翔太, 飯盛 浩司, 松本敏郎
日本機械学会 第27回計算力学講演会（CMD2014）
波動問題のBurton-Miller型積分方程式に関するアイソジオメト リック境界要素法の開発
榛 葉祐太, 高橋徹, 林慎 一, 坂部遥輝, 飯盛浩司, 松本敏郎
日本機械学会 第27回計算力学講演会（CMD2014）
２次元境界要素法に関する高速多重極型直接解法の実装と性能評価
高橋徹, 飯盛浩司, 松本敏郎
日本機械学会 第27回計算力学講演会（CMD2014）
高速直接境界要素法を用いた2次元電磁波動問題のトポロジー感度解析について
飯盛浩司, 高橋徹, 松本敏郎
日本機械学会 第27回計算力学講演会（CMD2014）
An interpolation-based fast multipole boundary integral equation method for wave equation International conference
Toru Takahashi
12th U.S. National Congress on Computational Mechanics (USNCCM12)
A time-domain BIEM for Wave Equation accelereted by Fast Multipole Method using Interpolation International conference
Toru Takahashi
The 11th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2013)
Task-based Parallelization of the Fast Multipole Method on NVIDIA GPUs and Multicore Processors International conference
Emmanuel Agullo, Bérenger Bramas, Olivier Coulaud, Matthias Messner, Eric Darve, Toru Takahashi
GPU Technology Conference (GTC) 2013
An Interpolation-based Fast Multipole Boundary Integral Equation Method for Wave Equation
Toru Takahashi
Pipelining the Fast Multipole Method over a Runtime System International conference
Emmanuel Agullo, Berenger Bramas, Olivier Coulaud, Eric F. Darve, Matthias Messner, Toru Takahashi
SIAM Conference on Computational Science and Engineering
An FMM for Isogeometric BEM for Potential Problems in 2D
Toru Takahashi, Yuya Nakai, Toshiro Matsumoto
JSME 25th Computational Mechanics Conference
大規模音響問題における高速 多重極アイソジオメトリック境界要素法の開発
林慎一，高橋徹，松本敏郎
日本機械学 会計算力学講演会講演論文集
An acceleration of multipole-to-local operation for low-frequency fast multipole BIEM with GPU International conference
Toru Takahashi, Cris Cecka, Eric Darve
Symposium of the International Association for Boundary Element Methods (IABEM) 2011
An implementation of multipole-to-local (M2L) operation for low-frequency fast multipole BIEM on GPU International conference
Toru Takahashi, Cris Cecka, Eric Darve
11th US National Congress on Computational Mechanics
An implementation of low-frequency fast multipole BIEM for Helmholtz' equation on GPU
JSME 23rd Computational Mechanics Division Conference
An acceleration of the black-box fast multipole method with GPU
2nd International Workshops on Advances in Computational Mechanics
境界要素法におけるGPUの活用例
高橋徹
第17回 計算数理工学フォーラム
The black-box fast multipole method on graphical processing units International conference
10th US National Congress on Computational Mechanics
Running BEM for wave problems on GPU
GPUによる境界要素法の高速化
高橋徹、濱田毅
日本機械学会第21回計算力学講演会
HPC of boundary element method with GPU International conference
International Supercompter Conference 2008
Hardware Acceleration for Boundary Element Methods International conference
Toru Takahashi
Harvard/Riken GPGPU Symposium 2008
An acceleration of time-domain BIEM for elastodynamic crack problems International conference
Ninth U.S. National Congress on Computational Mechanics
A fast time domain BIEM for elastodynamic crack problems in 3D International conference
International Conference on Computational Methods (ICCM2007)
A fast boundary integral equation method for elastodynamics in time domain and its parallelisation International conference
International Association for Boundary Element Methods 2006 Conference
GPGPU for BEM International conference
International Association for Boundary Element Methods 2006 Conference
An acceleration of fast boundary integral equation method using a special-purpose computer International conference
Eighth U.S. National Congress on Computational Mechanics
A time domain fast boundary integral equation method for 3D elastodynamics International conference
The Institute of Mathematics and its Applications 3rd International Conference on Boundary Integral Methods: Theory and Applications & Interdisciplinary Workshop on Developments in Boundary Element Methods for Acoustics and Electromagnetics
Fast computing of boundary integral equation method by a special-purpose computer International conference
Fast Multipole Method, Tree-Code and Related Approximated Algorithms --Trading Exactness and Efficiency--
Fast computing of boundary element method by using MDGRAPE-2 International conference
Joint RIKEN-INST Seminar on Application of Fast Computing Methods in Physics,
Application of the special-purpose computer MDGRAPE-2 to the boundary integral equation methods for Helmholtz equation and elastostatics, International conference
The eighth International Symposium on Simulation Science --New Methodology of Science in the 21st Century--
A time domain fast multipole boundary integral equation method for elastodynamics International conference
Sixth U.S. National Congress on Computational Mechanics
Improved conical-end borehole method International conference
European Rock Mechanics Symposium (EUROCK) 2001
Applications of fast multipole boundary integral equation methods in crack problems International conference
36th Annual Technical Meeting Society of Engineering Science
B.E. analysis of galvanic corrosion of long structure buried in soil with gradient electrical conductivity International conference
Boundary Element XIX
Grant number：21H03454 2021.4 - 2024.3
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Takahashi Toru
Authorship：Principal investigator
Grant amount：\18070000 （ Direct Cost: \13900000 、 Indirect Cost：\4170000 ）
First, we proposed a new fast algorithm for the time-domain boundary element method (TDBEM) for three-dimensional electromagnetic wave scattering problems, assuming that a scatterer is a perfect conductor. We succeeded in significantly reducing the computation time and required amount of memory. Next, we parallelized the developed fast TDBEM program with both OpenMPI and OpenMP for a memory distributed computing environment (actually, a PC cluster). Although the parallelization efficiency remains at 50% at most, it can be said that it was successful in distributing the required memory. Finally, we succeeded in deriving a shape derivative suitable for the TDBEM based on the surface current density and then realized the gradient-based shape optimization method.
Grant number：19H00740 2019.4 - 2024.3
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Matsumoto Toshiro
Authorship：Coinvestigator(s)
In this study, new topology optimization methods for open resonators, achieving broad technological advancements including efficient calculation of eigenfrequencies and modes, precise eigenvalue calculations for acoustic resonance problems, smooth representation of microstructures in photonic structures using isogeometric boundary element methods, implementation of special functions in metamaterial slabs, and the development of new optimization schemes for acoustic waveguides. Moreover, strict volume constraints and extended topological derivative formulations to nonlinear boundary conditions are investigated. These results aim to significantly reduce computational costs and strictly adhere to physical constraints, playing a crucial role in the design of advanced materials and devices for realizing new functionalities in phononic structures.
アイソジオメトリック境界要素法によるプラズモニクス用３次元形状最適化システム
2018.4
科学研究費補助金 基盤研究(C)
Authorship：Principal investigator
On the stability of boundary integral methods in wave problems
Grant number：18H03251 2018.4 - 2021.3
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Nishimura Naoshi
Authorship：Coinvestigator(s)
Stability of time domain boundary integral methods for wave problems using collocation is a long standing tough problem which still remains open in spite of many efforts to solve it. This study proposes a method to investigate the stability of boundary integral methods in time domain using a solver of non-linear eigenvalue problems called the Sakurai Sugiura method. We test the proposed method via numerical experiments. It is found that the proposed method is effective not only in assessing the stability but in studying the accuracy of boundary integral formulations. We also proposed a stable fast method in 3D as well as a space-time method for variable domains, both of which turned out to be effective.
A 3D shape optimisation system for plasmonics using isogeometric BEM
Grant number：18K11335 2018.4 - 2021.3
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Takahashi Toru
Authorship：Principal investigator
Grant amount：\4160000 （ Direct Cost: \3200000 、 Indirect Cost：\960000 ）
As a numerical simulation method to develop and design devices regarding plasmonics, which is based on the surface plasmons, the (frequency-domain) boundary element method, in particular, isogeometric boundary element method (IGBEM) is more appropriate and promising than the time-domain finite-difference method, which is the de facto standard method nowadays. Therefore, we aimed at developping an 3D IGBEM for doubly-periodic layer systems and, then, constructing an shape optimisation system. We successfully developeed the IGBEM by considering the periodicity into the existing researches for non-perodic problems. Also, we could establish the shape optimisation system via the investigation for 3D acoustics.
薄型シリコン太陽電池の高効率化に向けた高速・高精度な形状最適化システムの開発
2015.4 - 2018.3
科学研究費補助金 基盤研究(C)
高橋徹
Authorship：Principal investigator
Development of fast and accurate shape optimisation system to design high efficient thin Silicon solar cells
Grant number：15K06683 2015.4 - 2018.3
Takahashi Toru
Authorship：Principal investigator
Grant amount：\4810000 （ Direct Cost: \3700000 、 Indirect Cost：\1110000 ）
We proposed a new isogeometric boundary element method for 2D singly periodic boundary value problems of 2D Helmholtz equation and developed a shape optimisation system based on the boundary element method, adjoint variable method, and quasi-Newton method. The system is capable to design high-efficient thin Silicon solar cells. In an optimisation problem to maximise the relative energy absorption rate in the silicon layer of a four-layer (air/Si/Ag/air) model, we could obtain the optimal shape that can absorb 67% of the incident energy. The present result together with the computer program posted on the Internet is significant to design plasmonic devices. Meanwhile, we obtained some results for 3D problems, which can be exploited for the succeeding research starting from FY2018.
非定常問題に対する時間域境界要素法の高速アルゴリズムの開発と応用
2012.4 - 2014.3
科学研究費補助金
Authorship：Principal investigator
波動問題に対する高速多重極積分方程式法のＧＰＵを利用した並列計算手法の開発
2010.4 - 2012.3
科学研究費補助金 若手研究(B)
高橋 徹
Authorship：Principal investigator
境界要素法の高速化のための専用計算機の援用と開発に関する研究
2003.4 - 2005.3
科学研究費補助金 若手研究(B)
Authorship：Principal investigator
機械・航空工学科実験第二
2018
機械・航空工学科実験第一
2018
工場見学
2018
工場実習
2018
基礎セミナーA
2018
Advanced Lecture for Computaional Physics
2018
機械・航空工学設計製図第２
2018
Linear Algebra II
2017
機械・航空工学設計製図第２
2017
Advanced Lecture for Computaional Physics
2017
Electromagnetics II
2016
Linear Algebra II
2016
機械・航空工学設計製図第２
2016
応用解析学特論
2016
Electromagnetics II
2015
Linear Algebra II
2015
機械・航空工学設計製図第２
2015
応用解析学特論
2015
Electromagnetics II
2014
Linear Algebra II
2014
機械・航空工学設計製図第２
2014
応用解析学特論
2014
Linear Algebra II
2013
機械・航空工学設計製図第２
2013
工場見学
2013
工場実習
2013
機械・航空工学科実験第２
2013
Electromagnetics II
2013
応用解析学特論
2013
機械・航空工学科実験第１
2013
Linear Algebra II
2012
機械・航空工学設計製図第２
2012
応用解析学特論
2012
Electromagnetics II
2012
応用解析学特論
2011
Linear Algebra II
2011
機械・航空工学設計製図第２
2011
線形代数学Ⅱ
2010
応用解析学特論
2010
機械・航空工学科実験第一
2009
機械・航空工学科実験第二
2009
機械・航空工学科実験第二
2008
機械・航空工学科実験第一
2008
機械・航空工学科実験第一
2007
機械・航空工学科実験第二
2007
計算工学実験III
2005.4 - 2006.3 （東洋大学）
ソフトウェア演習A/プログラミングA
2005.4 - 2006.3 （東洋大学）
計算工学実験III
2004.4 - 2005.3 （東洋大学）
プログラミング技法
2004.4 - 2005.3 （東洋大学）
計算工学実験III
2003.4 - 2004.3 （東洋大学）
名大MIRAI GSC（第２ステージ）
Role(s)：Lecturer, Advisor, Planner, Organizing member
2024.8 - 2024.9
Role(s)：Advisor
名古屋大学高等研究院 2019.7
Role(s)：Lecturer
名古屋大学高等研究院 2019.6
豊西総合大学
Role(s)：Lecturer
愛知県立豊田西高校 2016.11
高大連携講座
2010.10
