next up previous
Next: About this document ... Up: Application of a diagonal Previous: Acknowledgment


V. Rokhlin : Rapid solution of integral equations of classical potential theory, J. Comp. Phys., 60, 187-207, 1985.

H. Fujiwara : The fast multipole method for solving integral equations of three-dimensional topography and basin problems, Geophys. J. Int., 140, 198-201, 2000.

K. Yoshida, N. Nishimura and S. Kobayashi : Analysis of three dimensional scattering of scalar waves by a crack with fast multipole boundary integral equation method, J. Appl. Mech. JSCE, 3, 143-150, 2000.

V. Rokhlin : Diagonal forms of translation operators of the Helmholtz equation in three dimensions, Appl. Comp. Harmonic Anal., 1, 82-93, 1993.

B. Dembart and E. Yip : The accuracy of the fast multipole methods for Maxwell's equations, IEEE Comp. Sci. Eng., 5(3), 48-56, 1998.

M.A. Epton and B. Dembart : Multipole translation theory for the three-dimensional Laplace and Helmholtz equations, SIAM J. Sci. Comput., 16, 865-897, 1995.

M.F. Gyure and M.A. Stalzer : A prescription for the multilevel Helmholtz FMM, IEEE Comp. Sci. Eng. , 5(3), 39-47, 1998.

J.M. Song, C.-C. Lu and W.C. Chew: Multilevel fast multipole algorithm for electoromagnetic scattering by large complex objects, IEEE Trans. Antennas Propagation, 45(10), 1997.