Over the years, mixed finite element methods have been extensively employed in the study of fluid flow in porous media. The importance of this approach relies on the capability of producing an approximation of the velocity field at least at the same order of accuracy as that obtained for the pressure. This paper presents a class of iterative solvers based on a Schur complement block decomposition of the original problem in conjunction with several kinds of preconditions.
Efficient algebraic solvers for mixed finite element models of porous media flows
BERGAMASCHI, LUCA;
1996
Abstract
Over the years, mixed finite element methods have been extensively employed in the study of fluid flow in porous media. The importance of this approach relies on the capability of producing an approximation of the velocity field at least at the same order of accuracy as that obtained for the pressure. This paper presents a class of iterative solvers based on a Schur complement block decomposition of the original problem in conjunction with several kinds of preconditions.
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