Preconditioners for Krylov subspace methods: An overview
نویسندگان
چکیده
منابع مشابه
Krylov-Subspace Preconditioners for Discontinuous Galerkin Finite Element Methods
Standard (conforming) finite element approximations of convection-dominated convectiondiffusion problems often exhibit poor stability properties that manifest themselves as nonphysical oscillations polluting the numerical solution. Various techniques have been proposed for the stabilisation of finite element methods (FEMs) for convection-diffusion problems, such as the popular streamline upwind...
متن کاملA theoretical overview of Krylov subspace methods
We survey Krylov subspace methods for the solution of linear systems with focus on commonly used and recently developed methods. The approach is theoretical and complementary to the engineering-based first article of this special issue. In particular convergence results are derived from a general theoretical framework, compiled and analyzed. I . B a c k g r o u n d The purpose of this paper is ...
متن کاملDeflation and Balancing Preconditioners for Krylov Subspace Methods Applied to Nonsymmetric Matrices
For quite some times, deflation preconditioner has been proposed and used to accelerate the convergence of Krylov subspace methods. For symmetric positive definite linear systems, convergence of CG combined with deflation has been analyzed and compared with other preconditioners, e.g. with the abstract balancing preconditioner [Nabben and Vuik, SIAM J. Sci. Comput., 27 (2006), pp. 1742–1759]. I...
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ژورنال
عنوان ژورنال: GAMM-Mitteilungen
سال: 2020
ISSN: 0936-7195,1522-2608
DOI: 10.1002/gamm.202000015