• 1
    Hwu W. GPU Computing Gems, Emerald Edition. Morgan Kaufmann, 2011.
  • 2
    Hwu W. GPU Computing Gems, Jade Edition. Morgan Kaufmann, 2011.
  • 3
  • 4
    Gumerov N, Duraiswami R. Fast multipole methods on graphics processors. Journal of Computational Physics 2008; 227(18):82908313.
  • 5
    Yokota R, Narumi T, Sakamaki R, Kameoka S, Obi S, Yasuoka K. Fast multipole methods on a cluster of GPUs for the meshless simulation of turbulence. Computer Physics Communications 2009; 180(11):20662078.
  • 6
    Cwikla M, Aronsson J, Okhmatovski V. Low-frequency MLFMA on graphics processors. IEEE Antenas and Wireless Propagation Letters 2010; 9:811.
  • 7
    Li S, Livshitz B, Lomakin V. Fast evaluation of Helmholtz potential on graphics processing units (GPUs). Journal of Computational Physics 2010; 229(22):84638483.
  • 8
    Hu Q, Gumerov N, Duraiswami R. Scalable fast multipole methods on distributed heterogeneous architectures, Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis, Seattle, 12–18 Nov. 2011; (36).
  • 9
    Greengard L, Rokhlin V. A new version of the fast multipole method for the Laplace equation in three dimensions. Acta Numerica 1997; 6:229269.
  • 10
    Gumerov N, Duraiswami R. Fast Multipole Methods for the Helmholtz Equation in Three Dimensions. Elsevier, 2004.
  • 11
    Takahashi T, Hamada T. GPU-accelerated boundary element method for Helmholtz equation in three dimensions. International Journal for Numerical Methods in Engineering 2009; 80(10):12951321.
  • 12
    Lezar E, Davidson D. GPU-accelerated method of moments by example: monostatic scattering. IEEE Antennas and Propagation Magazine 2010; 52(6):120135.
  • 13
    Stock M, Gharakhani A. A GPU-accelerated boundary element method and vortex particle method, 40th Fluid Dynamics Conference and Exhibit, Chicago, Illinois, 28 June–1 July 2010; AIAA 2010-5099.
  • 14
    Yokota R, Bardhan J, Knepley M, Barba L, Hamada T. Biomolecular electrostatics using a fast multipole BEM on up to 512 GPUs and a billion unknowns. Computer Physics Communications 2011; 182(6):12721283.
  • 15
    Hamada S. GPU-accelerated indirect boundary element method for voxel model analyses with fast multipole method. Computer Physics Communications 2011; 182(5):11621168.
  • 16
    Hamada S, Kobayashi T. Analysis of electric field induced by ELF magnetic field utilizing fast-multipole surface-charge simulation method for voxel data. Electrical Engineering in Japan 2008; 165(4):110, Translated from Denki Gakkai Ronbunshi 2006; 126-A(5): 355–362.
  • 17
    Hirata A, Yamazaki K, Hamada S, Kamimura Y, Tarao H, Wake K, Suzuki Y, Hayashi N, Fujiwara O. Intercomparison of induced fields in Japanese male model for ELF magnetic field exposures: effect of different computational methods and codes. Radiation Protection Dosimetry 2010; 138(3):237244.
  • 18
    Dawson T, Caputa K, Stuchly M. Influence of human model resolution on computed currents induced in organs by 60-Hz magnetic fields. Bioelectromagnetics 1997; 18(7):478490.
  • 19
    Harrington R, Pontoppidan K, Abrahamsen P, Albertsen N. Computation of Laplacian potentials by an equivalent source method. Proceedings of the IEE 1969; 116(10):17151720.
  • 20
    Sato S, Zaengl W. Effective 3-dimentsional electric field calculation by surface charge simulation method. Proceedings of the IEE 1986; 133(2):7783.
  • 21
    Harrington R. Matrix methods for field problems. Proceedings of the IEEE 1967; 55(2):136149.
  • 22
    Onoue Y, Fujino S, Nakashima N. An overview of a family of new iterative methods based on IDR theorem and its estimation, Proceedings of the International Multiconference of Engineers and Computer Scientists, Hong Kong, 18; 21292134.
  • 23
    Gumerov N, Duraiswami R. Comparison of efficiency of translation operators used in the fast multipole method for the 3D Laplace equation. University of Maryland, CS TR 4701, UMIACS TR-2005-09 2005:143.
  • 24
    Nagaoka T, Watanabe S, Sakurai K, Kunieda E, Watanabe S, Taki M, Yamanaka Y. Development of realistic high-resolution whole-body voxel models of Japanese adult males and females of average height and weight, and application of models to radio-frequency electromagnetic-filed dosimetry. Physics in Medicine and Biology 2004; 49(1):15.
  • 25
    Hamada S, Kitano M, Kobayashi T. Accuracy estimation of induced electric field calculated by fast-multipole surface-charge-simulation method for voxel data. IEEJ Transactions on Fundamentals and Materials 2008; 128(4):223234 (in Japanese).