J S, Pan C, Poqne C M O L, et al. A Lagrangian reproducing kernel particle method for metal forming analysis [J]. Computational Mechanics, 1998, 22(3): 289―307.
[2]
T, Tabbara M. Dynamic fracture using element-free Galerkin methods [J]. International Journal for Numerical Methods in Engineering, 1996, 39(6): 923―938.
[3]
朱合华. 裂纹扩展过程模拟的无网格MSLS方法[J]. 工程力学, 2010, 27(7): 21―26. Cai Yongchang, Zhu Hehua. Simulation of crack growth by the MSLS method [J]. Engineering Mechanics, 2010, 27(7): 21―26. (in Chinese)
[4]
C. An element-free Galerkin method for simulation of stationary two-dimensional shallow water flows in rivers [J]. Computer Methods in Applied Mechanics and Engineering, 2000, 182(1/2): 89―107.
[5]
T, Krongauz Y, Organ D, Fleming M, Krysl P. Meshless methods: An overview and recent developments [J]. Computer Methods in Applied Mechanics and Engineering, 1996, 139(1): 3―47.
[6]
X H, Tao W Q. Meshless method based on the local weak-forms for steady-state heat conduction problems [J]. International Journal of Heat and Mass Transfer, 2008, 51(11/12): 3103―3112.
[7]
S C, Liu G R, Zhang H O, Zhang G Y. A node-based smoothed point interpolation method (NS-PIM) for thermoelastic problems with solution bounds [J]. International Journal of Heat and Mass Transfer, 2009, 52(5/6): 1464―1471.
[8]
Q H, Chen S S, Kou G X. Transient heat conduction analysis using the MLPG method and modified precise time step integration method [J]. Journal of Computational Physics, 2011, 230(7): 2736―2750.
[9]
S, Belytschko T. Nodal integration of the element-free Galerkin method [J]. Computer Methods in Applied Mechanics and Engineering, 1996, 139(1/2/3/4): 49―74.
[10]
Q L, Belytschko T. Gradient and dilatational stabilizations for stress-point integration in the element-free Galerkin method [J]. International Journal for Numerical Methods in Engineering, 2009, 77(6): 776―798.
[11]
J S, Wu C T, Yoon S, You Y. A stabilized conforming nodal integration for Galerkin mesh-free methods [J]. International Journal for Numerical Methods in Engineering, 2001, 50(2): 435―466.
[12]
M A, Chen J S, Zywicz E, Elmer W. Meshfree and finite element nodal integration methods [J]. International Journal for Numerical Methods in Engineering, 2008, 74(3): 416―446.
[13]
Q L, Li X K, Zhang H W, Belytschko T. Second-order accurate derivatives and integration schemes for meshfree methods [J]. International Journal for Numerical Methods in Engineering, 2012, 92(4): 399―424.
[14]
Q L, Li X K, Zhang H W, Wang B B, Gao X. Quadratically consistent one-point (QC1) quadrature for meshfree Galerkin methods.[J]. Computer Methods in Applied Mechanics and Engineering, 2012(245/246): 256―272.
[15]
S, Huerta A. Imposing essential boundary conditions in mesh-free methods [J]. Computer Methods in Applied Mechanics and Engineering, 2004, 193(12/13/14): 1257―1275.