Numerical Algebra, Control and Optimization (NACO)

Solving the seepage problems with free surface by mathematical programming method
Pages: 351 - 357, Issue 4, December 2015

doi:10.3934/naco.2015.5.351      Abstract        References        Full text (286.0K)           Related Articles

Jinzhi Wang - College of Science, Dalian Nationalities University, Dalian 116600, China (email)
Yuduo Zhang - College of Science, Dalian Nationalities University, Dalian 116600, China (email)

1 K. J. Bathe, Finite element free surface seepage analysis without mesh iteration, Int. J. Numer and Analytical Methods in Geomechanics, 3 (1979), 13-22.
2 W. J. Chen and Z. L. Wang, Finite element method of invariable mesh Gauss point for transient seepage problem with free surface, Journal of dalian university of technology, 31 (1991), 537-543.
3 C. S. Desai and G. C. Li, A residual flow procedure and application for free surface in porous media, Advances in Water Resources, 6 (1983), 27-35.
4 J. S. Pang and L. Q. Qi, Non-smooth equations: motivation and algorithms, SIAM. J. OPTIM., 3 (1993), 443-465.       
5 H. Peng et al, Imaginary element for numerical analysis of seepage with free surface, China Rural Water and Hydropower, 3 (1997), 26-27.
6 L. Q. Qi, Convergence analysis of some algorithms for solving non-smooth equation, Math Oper Res., 18 (1993), 227-224.       
7 J. Z. Wang and W. J. Chen, Mixed fixed-Point FE method for seepage problems with free surfaces, Journal of Dalian University of Technology, 47 (2007), 793-797.
8 Y. T. Zhang, P. Chen and L. Wang, Initial flow method for seepage analysis with free surface, Chinese journal of Hydraulic, 8 (1988), 18-26.
9 H. Zheng et al., A new formulation of Signorini's type for seepage problems with free surface, International Journal for Numerical methods in engineering, online, 2005

Go to top