A fast boundary element method for the analysis of fiber-reinforced composites based on a rigid-inclusion model YJ Liu, N Nishimura, Y Otani, T Takahashi, XL Chen, H Munakata Journal of Applied Mechanics 72, 115-128, 2005 | 180 | 2005 |

An application of fast multipole method to isogeometric boundary element method for Laplace equation in two dimensions T Takahashi, T Matsumoto Engineering analysis with boundary elements 36 (12), 1766-1775, 2012 | 99 | 2012 |

Task-based FMM for multicore architectures E Agullo, B Bramas, O Coulaud, E Darve, M Messner, T Takahashi SIAM Journal on Scientific Computing 36 (1), C66-C93, 2014 | 92 | 2014 |

GPU‐accelerated boundary element method for Helmholtz' equation in three dimensions T Takahashi, T Hamada International Journal for Numerical Methods in Engineering 80 (10), 1295-1321, 2009 | 86 | 2009 |

A topology optimisation for three-dimensional acoustics with the level set method and the fast multipole boundary element method H Isakari, K Kuriyama, S Harada, T Yamada, T Takahashi, T Matsumoto Mechanical Engineering Journal 1 (4), CM0039-CM0039, 2014 | 84 | 2014 |

A wideband fast multipole boundary element method for three dimensional acoustic shape sensitivity analysis based on direct differentiation method C Zheng, T Matsumoto, T Takahashi, H Chen Engineering Analysis with Boundary Elements 36 (3), 361-371, 2012 | 67 | 2012 |

A fast BIEM for three-dimensional elastodynamics in time domain T Takahashi, N Nishimura, S Kobayashi Engineering Analysis with Boundary Elements 27 (5), 491-506, 2003 | 66 | 2003 |

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 G Jing, H Isakari, T Matsumoto, T Yamada, T Takahashi Engineering Analysis with Boundary Elements 61, 61-70, 2015 | 58 | 2015 |

Task‐based FMM for heterogeneous architectures E Agullo, B Bramas, O Coulaud, E Darve, M Messner, T Takahashi Concurrency and Computation: Practice and Experience 28 (9), 2608-2629, 2016 | 56 | 2016 |

Explicit evaluation of hypersingular boundary integral equation for 3-D Helmholtz equation discretized with constant triangular element T Matsumoto, C Zheng, S Harada, T Takahashi Journal of computational science and technology 4 (3), 194-206, 2010 | 55 | 2010 |

Explicit evaluation of hypersingular boundary integral equations for acoustic sensitivity analysis based on direct differentiation method C Zheng, T Matsumoto, T Takahashi, H Chen Engineering analysis with boundary elements 35 (11), 1225-1235, 2011 | 48 | 2011 |

A level-set-based topology optimisation for acoustic–elastic coupled problems with a fast BEM–FEM solver H Isakari, T Kondo, T Takahashi, T Matsumoto Computer Methods in Applied Mechanics and Engineering 315, 501-521, 2017 | 46 | 2017 |

The fast multipole method on parallel clusters, multicore processors, and graphics processing units E Darve, C Cecka, T Takahashi Comptes Rendus Mecanique 339 (2-3), 185-193, 2011 | 39 | 2011 |

Eigenvalue analysis for acoustic problem in 3D by boundary element method with the block Sakurai–Sugiura method H Gao, T Matsumoto, T Takahashi, H Isakari Engineering Analysis with Boundary Elements 37 (6), 914-923, 2013 | 37 | 2013 |

Study on transition from photonic-crystal laser to random laser G Fujii, T Matsumoto, T Takahashi, T Ueta Optics Express 20 (7), 7300-7315, 2012 | 36 | 2012 |

A fast BIEM for three-dimensional elastodynamics in time domain T Takahashi, N Nishimura, S Kobayashi Engineering analysis with boundary elements 28 (2), 165-180, 2004 | 31 | 2004 |

Optimizing the multipole‐to‐local operator in the fast multipole method for graphical processing units T Takahashi, C Cecka, W Fong, E Darve International Journal for Numerical Methods in Engineering 89 (1), 105-133, 2012 | 30 | 2012 |

A multi-objective topology optimisation for 2D electro-magnetic wave problems with the level set method and BEM H Isakari, K Nakamoto, T Kitabayashi, T Takahashi, T Matsumoto European Journal of Computational Mechanics 25 (1-2), 165-193, 2016 | 28 | 2016 |

Application of the inverse fast multipole method as a preconditioner in a 3D Helmholtz boundary element method T Takahashi, P Coulier, E Darve Journal of Computational Physics 341, 406-428, 2017 | 27 | 2017 |

An interpolation-based fast-multipole accelerated boundary integral equation method for the three-dimensional wave equation T Takahashi Journal of Computational Physics 258, 809-832, 2014 | 26 | 2014 |