Yuan Si, Wang Xu, Xing Qinyan, Ye Kangsheng. A scheme with optimal order of super-convergence based on the element energy projection method - I formulation [J]. Engineering Mechanics, 2007, 24(10): 1―5. (in Chinese)
[3]
Yuan S, Xing Q, Wang X, Ye K. A self-adaptive strategy for one-dimensional finite element method based on EEP method with optimal super-convergence order [J]. Applied Mathematics and Mechanics, 2008, 29(5): 591―602.
[4]
隋昕. 基于EEP法的一维C1有限元超收敛解答和自适应分析[D]. 北京: 清华大学, 2010.
[5]
Sui Xin. Super-convergent solutions and adaptive analysis of 1D C1 FEM based on EEP method [D]. Beijing: Tsinghua University, 2010. (in Chinese)
Yuan Si, Wang Mei. An element-energy-projection method for post-computation of super-convergent solutions in one-dimensional FEM [J]. Engineering Mechanics, 2004, 21(2): 1―9. (in Chinese) 浏览
[9]
Xiao Chuan. Adaptive FEM analysis for systems of first-order ODEs based on EEP super-convergent method [D]. Beijing: Tsinghua University, 2009. (in Chinese)
Yuan Si, Xu Junjie, Ye Kangsheng, Xing Qinyan. New progress in self-adaptive analysis of 2D problems: From FEMOL to FEM [J]. Engineering Mechanics, 2011, 28(Suppl II): 1―10. (in Chinese)
[12]
Yuan S. The finite element method of lines [M]. Beijing-New York: Science Press, 1993: 387―388.
[13]
Jang T S, Baek H S, Paik J K. A new method for the non-linear deflection analysis of an infinite beam resting on a non-linear elastic foundation [J]. International Journal of Non-Linear Mechanics, 2011, 46(1): 339―346.
[14]
祁泉泉. 基于振动信号的结构参数识别系统方法研究[D]. 清华大学, 2011.
[15]
Qi Quanquan. Studies on methods for structural parameter identification system based on vibration signal [D]. Beijing: Tsinghua University, 2011. (in Chinese)
[16]
Holt J F. Numerical solution of nonlinear two-point boundary problems by finite difference methods [J]. Communication of the ACM 7, 1964, 6: 366―373.
[17]
Ascher U, Christiansen J, Russell R D. A collocation solver for mixed order systems of boundary value problem [J]. Mathematics of Computation, 1979, 33: 659―679.
[18]
DaDeppo D A, Schmidt R. Instability of clamped-hinged circular arches subjected to a point load [J]. ASME Journal of Applied Mechanics, 1975, 97: 894―896.
