Geodesic
On the method of solving of nonlinear stationary anisotropic filtration problems
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2008), pp. 3-11 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper is devoted to a method of solving of stationary filtration problems of non-compressible fluid which follows the nonlinear multi-valued anisotropic law of filtration with limiting gradient. This problem mathematically is formulated in the form of variational inequality of the second kind in Hilbert space with inversely strongly monotone operator. The functional occurring in this variational inequality is a sum of several lower semi-continuous convex proper functionals. For solving the considered variational inequality the splitting method is offered.
Keywords: theory of filtration, mathematical modeling, variational inequalities, inversely strongly monotone operator, iterative method. 
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I. B. Badriev; I. N. Ismagilov; L. N. Ismagilov. On the method of solving of nonlinear stationary anisotropic filtration problems. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2008), pp. 3-11. http://geodesic.mathdoc.fr/item/VUU_2008_3_a0/

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