Application of new fast multipole boundary integral equation method to crack problems in 3D

Cruse, 1973, Application of the boundary-integral equation solution method in solid mechanics, vol. 2, 9/1

1973, Discussion, vol. 2, 9/110

Rokhlin, 1985, Rapid solution of integral equations of classical potential theory, J Comput Phys, 60, 187, 10.1016/0021-9991(85)90002-6

Greengard, 1988

Nishimura, 1999, A fast multipole boundary integral equation method for crack problems in 3D, Engng Anal Boundary Elements, 23, 97, 10.1016/S0955-7997(98)00065-4

Fu, 1998, A fast solution method for three-dimensional many-particle problems of linear elasticity, Int J Numer Methods Engng, 42, 1215, 10.1002/(SICI)1097-0207(19980815)42:7<1215::AID-NME406>3.0.CO;2-5

Takahashi T, Kobayashi S, Nishimura N. Fast multipole BEM simulation of overcoring in an improved conical-end borehole strain measurement method. In: Mechanics and Engineering, in Honor of Professor Qinghua Du's 80th Anniversary. Beijing: Tsinghua University Press; 1999. p. 120–7.

Yoshida, 1998, Analysis of three-dimensional elastostatic crack problems with fast multipole boundary integral equation method, J Appl Mech JSCE, 1, 365, 10.2208/journalam.1.365

Yoshida, 2001, Application of fast multipole Galerkin boundary integral equation method to elastostatic crack problems in 3D, Int J Numer Methods Engng, 50, 525, 10.1002/1097-0207(20010130)50:3<525::AID-NME34>3.0.CO;2-4

Chen, 1997, Fast multipole method as an efficient solver for 2D elastic wave surface integral equations, Comput Mech, 20, 495, 10.1007/s004660050270

Fujiwara, 1998, The fast multipole method for integral equations of seismic scattering problems, Geophys J Int, 133, 773, 10.1046/j.1365-246X.1998.00538.x

Fujiwara, 2000, The fast multipole method for solving integral equations of three-dimensional topography and basin problems, Geophys J Int, 140, 198, 10.1046/j.1365-246x.2000.00016.x

Yoshida, 2000, Analysis of three-dimensional scattering of elastic waves by a crack with fast multipole boundary integral equation method, J Appl Mech JSCE, 3, 143, 10.2208/journalam.3.143

Rokhlin, 1990, Rapid solution of integral equations of scattering theory in two dimensions, J Comput Phys, 86, 414, 10.1016/0021-9991(90)90107-C

Rokhlin, 1993, Diagonal forms of translation operator for the Helmholtz equation in three dimensions, Appl Comput Harmon Anal, 1, 82, 10.1006/acha.1993.1006

Epton, 1995, Multipole translation theory for the three-dimensional Laplace and Helmholtz equations, SIAM J Sci Comput, 16, 865, 10.1137/0916051

Gyure, 1998, A prescription for the multilevel Helmholtz FMM, IEEE Comput Sci Engng, 5, 39, 10.1109/99.714592

Elliot, 1995, Fast Fourier transform accelerated fast multipole algorithm, SIAM J Sci Comput, 17, 398, 10.1137/S1064827594264259

Dembart, 1998, The accuracy of fast multipole methods for Maxwell's equations, IEEE Comput Sci Engng, 5, 48, 10.1109/99.714593

Hrycak, 1998, An improved fast multipole algorithm for potential fields, SIAM J Sci Comput, 19, 1804, 10.1137/S106482759630989X

Greengard, 1997, A new version of the fast multipole method for the Laplace equation in three dimensions, Acta Numer, 6, 229, 10.1017/S0962492900002725

Cheng, 1999, A fast adaptive multipole algorithm in three dimensions, J Comput Phys, 155, 468, 10.1006/jcph.1999.6355

Greengard, 1998, Accelerating fast multipole methods for the Helmholtz equation at low frequencies, IEEE Comput Sci Engng, 5, 32, 10.1109/99.714591

Nishimura, 1999, Application of new multipole boundary integral equation method to crack problems, Proc BTEC-99, 75

Morse, 1953

Yarvin, 1998, Generalized Gaussian quadratures and singular value decomposition of integral operators, SIAM J Sci Comput, 20, 699, 10.1137/S1064827596310779

Biedenharn, 1981

Nishida, 1997, Application of the fast multipole method to the 3D BEM analysis of electron guns, 613

Hobson, 1931

Fu, 1999, Fast summation methods and integral equations, 128