1Belytschko T, Krongauz Y, Organ D, et al. Meshless methods: An overview and recent developments.Computer Methods in Applied Mechanics and Engineering, 1996, 139:3-47.
2Li S F, Liu W K. Meshfree and particle methods and their applications. Applied Mechanics Review, 2002,55:1-34.
3Nayroles B, Touzot G, Villon P G. Generalizing the finite element method: diffuse approximation and diffuse elements. Computational Mechanics, 1992, 10:307-318.
4Belytschko T, Lu Y Y, Gu L. Element-free galerkin methods. International Journal for Numerical Methods in Engineering, 1994, 37:229-256.
5Liszka T J, Duarte C A M, Tworzydlo W W. Hp-Meshless cloud method. Computer Methods in Applied Mechanics and Engineering, 1996, 139:263-288.
6Onarte E. A finite point method in computational mechanics. International Journal for Numerical Methods in Engineering, 1996, 39:3839-3866.
7Atluri S N, Zhu T L. A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics.Computational Mechanics, 1998, 22:117-127.
8Liu W K, Chen Y, Uras R A, et al. Generalized multiple scale reproducing kernel particle. Computer Methods in Applied Mechanics and Engineering, 1996, 139:91-157.
9Liu W K, Chen Y J. Wavelet and multiple scale reproducing kernel methods. International Journal for Numerical Methods in Fluids, 1995, 21:901-931.
10Hon Y C, Chen W. Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry. International Journal for Numerical Methods in Engineering, 2003, 56:1931-1948.
二级参考文献51
1王龙甫.弹性理论[M].科学出版社,1979..
2布瑞比亚 龙述尧等(译).边界单元法的理论和工程应用[M].北京:国防工业出版社,1988..
3Organ J. Numerical solutions to dynamic fracture problems using the EFG. [Ph D Thesis]. Northwestern University,1996.6
4Lucy LB. A numerical approach to the testing of the fission hypotheses. The Astron J, 1977, 8:1013~1024
5Lancaster P, Salkauskas K. Surfaces generated by moving least square methods. Math Comput, 1981, 37:141~158
6Nayroles B, Touzot G, Villon P. Generalizing the finite element method: diffuse approximation and diffuse elements.Comput Mech, 1992, 10:307~318
7Belytschko T, Lu YY, Gu L. Element-free Galerkin method. International Journal for Numerical Methods in Engineering, 1994, 37:229~256
8Babuska I, Melenk JM. The partition of unity method. Int J Numer Meth Engrg, 1997, 40:727~758
9Duarte CAM, Oden JT. Hp clouds --an hp meshless method. Numer Meth Partial Diff Eqs, 1996, 12:673~705
10Babuska I, Melenk JM. The partition of unity finite element method: basic theory and applications. Comput Meth Appl Mech Engrg, 1996, 139:289~314
4CHENG Yumin1 & LI Jiuhong2 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China,2. Department of Building Engineering, Xi’an University of Technology, Xi’an 710048, China.A complex variable meshless method for fracture problems[J].Science China(Physics,Mechanics & Astronomy),2006,49(1):46-59. 被引量:16
1CHENG Yumin1 & LI Jiuhong2 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China,2. Department of Building Engineering, Xi’an University of Technology, Xi’an 710048, China.A complex variable meshless method for fracture problems[J].Science China(Physics,Mechanics & Astronomy),2006,49(1):46-59. 被引量:16
2CHENG Yumin1 & PENG Miaojuan2 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China,2. Department of Civil Engineering, Shanghai University, Shanghai 200072, China.Boundary element-free method for elastodynamics[J].Science China(Physics,Mechanics & Astronomy),2005,48(6):641-657. 被引量:13