Krylov Methods for Nonsymmetric Linear Systems

2020 ◽  
Author(s):  
Gérard Meurant ◽  
Jurjen Duintjer Tebbens
Keyword(s):  
Linear Systems ◽  
Krylov Methods ◽  
Nonsymmetric Linear Systems

On the convergence of Q-OR and Q-MR Krylov methods for solving nonsymmetric linear systems

2016 ◽  
Vol 56 (1) ◽  
pp. 77-97 ◽  
Author(s):  
Jurjen Duintjer Tebbens ◽  
Gérard Meurant
Keyword(s):  
Linear Systems ◽  
Krylov Methods ◽  
Nonsymmetric Linear Systems

scholarly journals AN OVERVIEW OF MGMRES AND LAN/MGMRES METHODS FOR SOLVING NONSYMMETRIC LINEAR SYSTEMS

2000 ◽  
Vol 4 (3) ◽  
pp. 385-396 ◽  
Author(s):  
David R. Kincaid ◽  
David M. Young ◽  
Jen-Yuan Chen
Keyword(s):  
Linear Systems ◽  
Nonsymmetric Linear Systems

Preconditioning Techniques for Nonsymmetric Linear Systems in the Computation of Incompressible Flows

2009 ◽  
Vol 76 (2) ◽  
Author(s):  
Murat Manguoglu ◽  
Ahmed H. Sameh ◽  
Faisal Saied ◽  
Tayfun E. Tezduyar ◽  
Sunil Sathe
Keyword(s):  
Linear Systems ◽  
Krylov Subspace ◽  
Incompressible Flows ◽  
Stokes Equations ◽  
Handling Time ◽  
Navier Stokes ◽  
Preconditioning Techniques ◽  
Navier Stokes Equations ◽  
Nonsymmetric Linear Systems ◽  
Steady State Solutions

In this paper we present effective preconditioning techniques for solving the nonsymmetric systems that arise from the discretization of the Navier–Stokes equations. These linear systems are solved using either Krylov subspace methods or the Richardson scheme. We demonstrate the effectiveness of our techniques in handling time-accurate as well as steady-state solutions. We also compare our solvers with those published previously.

The parallel local modified sor for nonsymmetric linear systems∗

1998 ◽  
Vol 68 (1-2) ◽  
pp. 153-174 ◽  
Author(s):  
L. A. Boukas ◽  
N. M. Missirlis
Keyword(s):  
Linear Systems ◽  
Nonsymmetric Linear Systems

Parallel Preconditioners for Solving Nonsymmetric Linear Systems

1999 ◽  
pp. 128-141
Author(s):  
Antonio J. García-Loureiro ◽  
Tomás F. Pena ◽  
J. M. López-González ◽  
Ll. Prat Viñas
Keyword(s):  
Linear Systems ◽  
Nonsymmetric Linear Systems ◽  
Parallel Preconditioners
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