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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{VUU_2008_3_a0,
     author = {I. B. Badriev and I. N. Ismagilov and L. N. Ismagilov},
     title = {On the method of solving of nonlinear stationary anisotropic filtration problems},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {3--11},
     publisher = {mathdoc},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2008_3_a0/}
}
TY  - JOUR
AU  - I. B. Badriev
AU  - I. N. Ismagilov
AU  - L. N. Ismagilov
TI  - On the method of solving of nonlinear stationary anisotropic filtration problems
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2008
SP  - 3
EP  - 11
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VUU_2008_3_a0/
LA  - ru
ID  - VUU_2008_3_a0
ER  - 
%0 Journal Article
%A I. B. Badriev
%A I. N. Ismagilov
%A L. N. Ismagilov
%T On the method of solving of nonlinear stationary anisotropic filtration problems
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2008
%P 3-11
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VUU_2008_3_a0/
%G ru
%F VUU_2008_3_a0
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/