The main purpose of this paper is to develop stable versions of some Krylov subspace methods for solving the linear systems of equations Ax = b which arise in the difference solution of 2-D nonstationary Navier-Stokes equations using implicit scheme and to determine a good value of the time step. Ou
Newton-preconditioned Krylov subspace solvers for system of nonlinear equations: A numerical experiment
โ Scribed by S. Sundar; B.K. Bhagavan; S. Prasad
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 313 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, we present a numerical comparative study of the Newton-preconditioned Lanczos algorithms and Newton-preconditioned CG-like methods, with respect to convergence speed and CPU-time, by considering appropriate test problems. (~) 2000 Elsevier Science Ltd. All rights reserved.
Keywords--Krylov subspace, Preconditioned CG-like methods, Preconditioned Lanczos algorithm, System of nonlinear equations.
๐ SIMILAR VOLUMES
This article studies the effect of discretization order on preconditioning and convergence of a high-order Newton-Krylov unstructured flow solver. The generalized minimal residual (GMRES) algorithm is used for inexactly solving the linear system arising from implicit time discretization of the gover
This paper deals with the numerical solution of nonlinear integro-differential equations modelling a one-dimensional quasi-static contact problem in thermoviscoelasticity. A finite element approximation is proposed and analysed and some numerical results are given.
In this paper, the author presents a new method for iteratively finding a real solution of an arbitrary system of nonlinear algebraic equations, where the system can be overdetermined or underdetermined and its Jacobian matrix can be of any (positive) rank. When the number of equations is equal to t