Eigenvalue estimates for a preconditioned Galerkin matrix arising from mixed finite element discretizations of viscous incompressible flows

[摘要] The article deals with Galerkin matrices arising with finite element discretizations of the Navier-Stokes system. Usually these matrices are indefinite and nonsymmetric. They have to be preconditioned if a related linear system is to be solved efficiently by an iterative method. We consider preconditioning by a pressure mass matrix. It is shown how upper and lower bounds of the eigenvalues of a preconditioned Galerkin matrix may be found by variational arguments. (C) 2006 Elsevier B.V. All rights reserved.

[发布日期] 2007-08-01

[关键词] nonsyminetric systems;indefinite systems;preconditioning;finite element methods;Navier-Stokes equations