# American Institute of Mathematical Sciences

2015, 5(4): 351-357. doi: 10.3934/naco.2015.5.351

## Solving the seepage problems with free surface by mathematical programming method

 1 College of Science, Dalian Nationalities University, Dalian 116600, China, China

Received  January 2015 Revised  October 2015 Published  October 2015

The nonsmooth equations model for seepage problems is proposed based on the basic principles of the seepage dynamic system and the finite element discrete method. The mathematical programming method is therefore applied. The free surface of seepage is plotted through interpolation with pressure intensity on the nodes. The numerical results show the new method is simple and rapid in convergence rate.
Citation: Jinzhi Wang, Yuduo Zhang. Solving the seepage problems with free surface by mathematical programming method. Numerical Algebra, Control & Optimization, 2015, 5 (4) : 351-357. doi: 10.3934/naco.2015.5.351
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