A fast multipole boundary integral equation method for crack problems in 3D
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Niwa, 1977, Application of integral equation method to the determination of three dimensional stresses around a cavity, Proc JSCE, 266, 25
Leung, 1997, Iterative solution of large three-dimensional BEM elastostatic analyses using the GMRES technique, Int J Num Meth Eng, 40, 2227, 10.1002/(SICI)1097-0207(19970630)40:12<2227::AID-NME154>3.0.CO;2-Z
For example, Lage C, Schwab C. Wavelet Galerkin algorithms for boundary integral equations, Research Report No. 97-15, Seminar für Angewandte Mathematik, ETH Zürich, 1997.
Rokhlin, 1985, Rapid solution of integral equations of classical potential theory, J Comp Phys, 60, 187, 10.1016/0021-9991(85)90002-6
Greengard L. The rapid evaluation of potential fields in particle systems. Cambridge, MA: MIT Press, 1987.
Watanabe O, Hayami K. A fast solver for the boundary element method using multipole expansion. In: Proc BTEC-94, 1994:39–44 (in Japanese).
Yamada Y, Hayami K. A multipole boundary element method for two dimensional elastostatics. Technical Reports, Department of Mathematical Engineering and Information Physics, Faculty of Engineering, The University of Tokyo, METR 95-07, 1995:1–20.
Hayami K, Sauter SA. Application of the panel clustering method to the three-dimensional elastostatic problem. In: Marchetti M, et al., editors. Boundary elements XIX. Southampton: Computational Mechanics, 1997:625–634.
Nishida T, Hayami K. Application of the fast multipole method to the 3-D BEM analysis of electron guns. In: Marchetti M, et al., editors. Boundary elements XIX. Southampton: Computational Mechanics, 1997:613–622.
Watanabe, 1996, Fast multipole boundary element method, Proc Conf Computational Engineering and Science, 1, 319
Gómez, 1997, A multipole direct and indirect BEM for 3D cavity flow at low Reynolds number, Eng Anal Boundary Elements, 19, 17, 10.1016/S0955-7997(97)00021-0
Lu, 1993, Fast algorithm for solving hybrid integral equations, IEE Proc-H, 140, 455
Chen, 1997, Fast multipole method as an efficient solver for 2D elastic wave surface integral equations, Comp Mech, 20, 495, 10.1007/s004660050270
Nishimura, 1997, Some fast solution methods in BIEM, Proc Conf Computational Engineering and Science, 2, 335
Fukui T, Mochida T, Inoue K. Crack extension analysis in system of growing cracks by fast multipole boundary element method. In: Proc BTEC-97, 1997:25–30 (in Japanese).
Epton, 1995, Multipole translation theory for the three-dimensional Laplace and Helmholtz equations, SIAM J Sci Comput, 16, 865, 10.1137/0916051
Saad, 1986, GMRES; A generalized minimum residual algorithm for solving nonsymmetric linear systems, SIAM J Sci Stat Comput, 7, 856, 10.1137/0907058
Yamada Y, Hayami K. A multipole boundary element method for two dimensional elastostatics. In: Hackbusch W, Wittum G, editors. Notes on numerical fluid mechanics, vol. 54, boundary elements: implementation and analysis of advanced algorithms. Proc. 12th GAMM-Seminar Kiel, Jan. 1996, Vieweg, Braunschweig, 1996:55–267, 1996.
Nishida, 1996, The economic solution of 3D BEM using the fast multipole method, Proc Conf Computational Engineering and Science, 1, 315