Adaptive Approximation of a Filtration Problem for a Viscous Compressible Fluid in a Fissured Porous Medium / N.S. Mel'nichenko // Vestn. Mosk. Univ., Matem. Mekhan. 2009. № 6. P. 51-52 [Moscow Univ. Math. Bulletin. Vol. 64, No 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 fissures. 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.