Eigenvalue estimates for a preconditioned Galerkin matrix arising from mixed finite element discretizations of viscous incompressible flows
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- 作者：Paul Deuring
- 关键词：Nonsymmetric systems ; Indefinite systems ; Preconditioning ; Finite element methods ; Navier– ; Stokes equations
- 刊名：Journal of Computational and Applied Mathematics
- 出版年：2007
- 出版时间：1 August 2007
- 年：2007
- 卷：205
- 期：1
- 页码：453-457
- 全文大小：137 K
文摘
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.