Adaptive approximation of a filtration problem for a viscous compressible fluid in a fissured porous medium / N. S. Mel'nichenko. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ? 6. P. 51-52 [Moscow Univ. Math. Bulletin. Vol. 64, N 6, 2009. P. 264-265].

A filtration problem for a viscous compressible multiphase fluid mixture in a porous medium is considered in the case of high degree anisotropy caused by fractions. A correct spatial discretization is discussed. A comparison between the subgrid method and other multipoint methods is performed.

Key words: adaptive approximation, subgrid method, L-method, fluid filtration, fractured media.