Zhang H W, Wu J K, Fu Z D. Extended multiscale finite element method for elasto-plastic analysis of 2D periodic lattice truss materials[J]. Computational Mechanics, 2010, 45(6): 623-635.
[2]
张锐, 唐志平, 郑航. 离散元与有限元耦合的时空多尺度计算方法[J]. 吉林大学学报: 工学版, 2009, 39(2): 408-412.Zhang Rui, Tang Zhi-ping, Zheng Hang. Time and space multiscale numerical method by coupling discrete element method and finite element method[J]. Journal of Jilin University (Engineering and Technology Edition), 2009, 39(2): 408-412.
[3]
Hou T Y, Wu X H. A multiscale finite element method for elliptic problems in composite materials and porous media[J]. Journal of Computational Physics, 1997, 134(1): 169-189.
[4]
Efendiev T, Galvis J, Hou T Y. Generalized multiscale finite element methods[J]. Journal of Computational Physics, 2013, 251: 116-135.
[5]
Zhang N, Yao J, Huang Z Q, et al. Accurate multiscale finite element method for numerical simulation of two-phase flow in fractured media using discrete-fracture model[J]. Journal of Computational Physics, 2013, 242: 420-438.
[6]
Hajibeygi H, Karvounis D, Jenny P. A hierarchical fracture model for the iterative multiscale finite volume method[J]. Journal of Computational Physics, 2011, 230(24): 8729- 8743.
[7]
Barenblatt G I, Zheltov I P, Kochina I N. Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks[J]. Journal of Applied Mathematics and Mechanics, 1960, 24(5): 1286-1303.
[8]
Jiang L J, Efendiev Y, Ginting V. Analysis of global multiscale finite element methods for wave equations with continuum spatial scales[J]. Applied Numerical Mathematics, 2010, 60(8): 862-876.
[9]
Chen J S, Wu C T, Yoon S. A stabilized conforming nodal integration for Galerkin meshfree methods[J]. International Journal for Numerical Methods in Engineering, 2001, 50(2): 435-466.
[10]
Liu G R, Nguyen T T, Dai K Y, et al.Theoretical aspects of the smoothed finite element method[J]. International Journal for Numerical Methods in Engineering, 2007, 71(8): 902-930.
[11]
周立明, 孟广伟, 周振平, 等. 含孔复合材料层合板的Cell-Based光滑有限元法[J]. 东北大学学报: 自然科学版, 2013, 34(S2): 90-93,97.Zhou Li-ming, Meng Guang-wei, Zhou Zhen-ping, et al. Cell-Based smoothed finite element method for laminated composited plates with circular opening[J]. Journal of Northeastern University (Natural Science), 2013, 34(增刊2): 90-93,97.
