Mukherjee Y X, Mukherjee S. On boundary conditions in the element-free Galerkin method[J]. Computational Mechanics, 1997, 19: 264-270.
[2]
陈美娟,程玉民. 改进的移动最小二乘法[J]. 力学季刊,2003, 24(2): 266-272.Chen Mei-juan, Cheng Yu-min. The improved moving least-square approximation[J]. Chinese Quarterly of Mechanics, 2003, 24(2): 266-272.
[3]
程玉民,彭妙娟,李九红. 复变量移动最小二乘法及其应用[J]. 力学学报,2005, 37(6): 719-723.Cheng Yu-min, Peng Miao-juan, Li Jiu-hong. The moving least-square approximation and its application[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(6): 719-723.
[4]
程玉民,李九红. 弹性力学的复变量无网格法[J]. 物理学报,2005, 54(10): 4463-4471.Cheng Yu-min, Li Jiu-hong. A meshless method with complex variables for elasticity[J]. Acta Physica Sinica, 2005, 54(10): 4463-4471.
[5]
Cheng Y M, Li J H. A complex variable meshless method for fracture problems[J]. Science in China Ser G Physics, Mechanics & Astronomy, 2006, 49(1): 46-59.
[6]
李九红,程玉民. 一种新的无网格方法与有限元耦合法[J]. 工程数学学报,2008, 25(6): 1035-1043.Li Jiu-hong, Cheng Yu-min. A new coupled meshless-finite element method[J]. Chinese Journal of Engineering Mathematics, 2008, 25(6): 1035-1043.
[7]
Hussler-Combe U, Korn C. An adaptive approach with the element-free-Galerkin method[J].Compt Methods Appl Mech Eng, 1998, 162:203-222.
[8]
Fritsch F N, Carlson R E. Monotone piecewise cubic interpolation[J]. SIAM Journal of Numerical Analysis, 1980, 17:238-246.
[9]
Fritsch F N, Butland J. A method for constructing local monotone piecewise cubic interpolates[J]. SIAM Journal of Scientific and Statistical Computing, 1984, 5:303-304.
[10]
Passow E, Roulier J A. Monotone and convex spline interpolation[J]. SIAM Journal of Numerical Analysis, 1977, 14(5):904-909.
[11]
Lavery J E. Shape-preserving, multiscale fitting of univariate data by cubic L1 smoothing splines [J]. Computer Aided Geometric Design, 2000, 17(7):715-727.
[12]
Lancaster P, Salkauskas K. Surface generated by moving least square methods[J]. Mathematics of Computation, 1981, 37:141-158.