Different numerical methods are widely employed at the present time to solve filtration problems. These methods (finite-difference method (FDM), finite-element method (FEM) and boundary-element method (BEM)) are based on solution of the basic equation of steady-state or nonsteady filtration under assigned boundary conditions, and may be used to analyze filtration in complex nonuniform-filtration domains. In our study, the finite-element method is used in combination with the method of local variations (MLV) in solving the filtration problem. Software, which makes it possible to solve the problem of nonlinear, nonsteady pressure-free filtration in an inhomogeneous medium, was developed in the chair of water-development works at the Moscow State Civil Engineering University in 1984 by Candidate of Technical Sciences N. A. Aniskin. Basic theoretical positions of the solution of the filtration problem, which are realized in the "Fiktr" software, are addressed below.
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