Algebraic Multilevel Method AMG Comparison with the Method BICGSTAB + ILU and its Use in the Method CPR / Bogachev K.Yu., Mikhaleva M.Yu., Gorelov I.G. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. № 4. P. 24-28 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 156-160].

The algebraic multilevel method AMG is compared with the method BICGSTAB+ILU on a model problem with a strong anisotropy. The method AMG was used as a part of the method CPR for solution of the filtration problems of a viscous compressible fluid flow in porous media. The algorithm CPR+AMG is compared with CPR+ILU on the base of this problem. The work of the CPR+AMG is analyzed by solving the problem for a model oil field.

Key words: algebraic miltigrid, AMG method, CPR method, SPE9, fluid flow in porous media.

№ 4/2010