A fast multipole accelerated method of fundamental solutions for potential problems
Tóm tắt
Từ khóa
Tài liệu tham khảo
Jaswon, 1963, Integral equation methods in potential theory. I, Proc Royal Soc London A, 275, 23, 10.1098/rspa.1963.0152
Rizzo, 1967, An integral equation approach to boundary value problems of classical elastostatics, Q Appl Math, 25, 83, 10.1090/qam/99907
Mukherjee, 1982
Cruse, 1988
Brebbia, 1989
Banerjee, 1994
Fairweather, 1998, The method of fundamental solutions for elliptic boundary value problems, Adv Comput Math, 9, 69, 10.1023/A:1018981221740
Golberg, 1998, The method of fundamental solutions for potential, Helmhotz and diffusion problems, 103
Fairweather, 2003, The method of fundamental solutions for scattering and radiation problems, Eng Anal Boundary Elements, 27, 759, 10.1016/S0955-7997(03)00017-1
Berger, 1999, The method of fundamental solutions for heat conduction in layered materials, Int J Numer Meth Eng, 45, 1681, 10.1002/(SICI)1097-0207(19990820)45:11<1681::AID-NME649>3.0.CO;2-T
Ramachandran, 2002, Method of fundamental solutions: singular value decomposition analysis, Commun Numer Meth Eng, 18, 789, 10.1002/cnm.537
Smyrlis, 2004, A matrix decomposition MFS algorithm for axisymmetric potential problems, Eng Anal Boundary Elements, 28, 463, 10.1016/S0955-7997(03)00100-0
Mitic, 2004, Convergence and stability of the method of meshless fundamental solutions using an array of randomly distributed sources, Eng Anal Boundary Elements, 28, 143, 10.1016/j.enganabound.2003.07.005
Poullikkas, 2002, The method of fundamental solutions for three-dimensional elastostatics problems, Comput Struct, 80, 365, 10.1016/S0045-7949(01)00174-2
de Medeiros, 2004, The method of fundamental solutions with dual reciprocity for some problems in elasticity, Eng Anal Boundary Elements, 28, 453, 10.1016/S0955-7997(03)00099-7
Dong, 2004, Stress analysis of an infinite anisotropic elastic medium containing inclusions using the boundary point method, Eng Anal Boundary Elements, 28, 1293, 10.1016/j.enganabound.2004.06.002
Rokhlin, 1985, Rapid solution of integral equations of classical potential theory, J Comput Phys, 60, 187, 10.1016/0021-9991(85)90002-6
Greengard, 1987, A fast algorithm for particle simulations, J Comput Phys, 73, 325, 10.1016/0021-9991(87)90140-9
Greengard, 1988
Peirce, 1995, A spectral multipole method for efficient solution of large-scale boundary element models in elastostatics, Int J Numer Meth Eng, 38, 4009, 10.1002/nme.1620382307
Gomez, 1997, A multipole direct and indirect BEM for 2D cavity flow at low Reynolds number, Eng Anal Boundary Elements, 19, 17, 10.1016/S0955-7997(97)00021-0
Fu, 1998, A fast solution method for three-dimensional many-particle problems of linear elasticity, Int J Numer Meth Eng, 42, 1215, 10.1002/(SICI)1097-0207(19980815)42:7<1215::AID-NME406>3.0.CO;2-5
Nishimura, 1999, A fast multipole boundary integral equation method for crack problems in 3D, Eng Anal Boundary Elements, 23, 97, 10.1016/S0955-7997(98)00065-4
Mammoli, 1999, Stokes flow around cylinders in a bounded two-dimensional domain using multipole-accelerated boundary element methods, Int J Numer Meth Eng, 44, 897, 10.1002/(SICI)1097-0207(19990310)44:7<897::AID-NME530>3.0.CO;2-S
Yao, 2004, 2D Simulation of composite materials using BEM, Eng Anal Boundary Elements, 28, 927, 10.1016/S0955-7997(03)00119-X
Nishimura, 2004, Thermal analysis of carbon-nanotube composites using a rigid-line inclusion model by the boundary integral equation method, Comput Mech, 35, 1, 10.1007/s00466-004-0580-2
Liu, 2005, A fast boundary element method for the analysis of fiber-reinforced composites based on a rigid-inclusion model, J Appl Mech, 72, 115, 10.1115/1.1825436
Liu YJ, Nishimura N, Otani Y. Large-scale modeling of carbon-nanotube composites by the boundary element method based on a rigid-inclusion model. Comput Mater Sci 2005;34(2), 173–187.
Chew, 2003, Fast integral equation solvers in computational electromagnetics of complex structures, Eng Anal Boundary Elements, 27, 803, 10.1016/S0955-7997(03)00040-7
Nishimura, 2002, Fast multipole accelerated boundary integral equation methods, Appl Mech Rev, 55, 299, 10.1115/1.1482087
Zhang J, Tanaka M, Endo M. The hybrid boundary node method accelerated by fast multipole method for 3D potential problems. Int J Numer Meth Eng [in press].
Wang HT, Yao ZH, Wang PB. Application of preconditioners for fast multipole boundary element methods for multi-domain elastostatics. Eng Anal Boundary Elements [in review].