Mathematics

Algebraic multilevel method AMG: Comparison with the method BICGSTAB + ILU and its use in the method CPR

K. Yu. Bogachev, M. Yu. Mikhaleva, I. G. Gorelov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Algebraic multigrid method AMG is compared with BICGSTAB+ILU method concerning to the model problems with strong anisotropy. AMG is considered in conjunction with CPR method concerning to the filtration problems of multicomponent fluid flow in porous media. CPR+AMG method is compared with CPR+ILU. CPR+AMG is considered in detail concerning to the model oil field.

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

UDC: 519.6

Received: 29.05.2009

Bibliographic databases:

• 
•