On backtracking failure in Newton-GMRES methods with a demonstration for the Navier-Stokes equations

Journal of Computational Physics

Volumn 180, Issue 2, 2002, Pages 549-558

  Tuminaro, Raymond S ^a   Walker, Homer F ^b   Shadid, John N ^c  

^a SANDIA NATIONAL LABORATORIES   (United States)

^b Worcester Polytechnic Institute   (United States)

^c SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

Backtracking; Damping; Inexact Newton methods; Linesearch; Navier Stokes equations; Newton iterative methods; Newton's method; Newton GMRES methods; Newton Krylov methods; Truncated Newton methods

Indexed keywords

NAVIER STOKES EQUATIONS; NEWTON-RAPHSON METHOD; VISCOUS FLOW;

BACKTRACKING; HEAT AND MASS TRANSPORTS; INEXACT NEWTON METHOD; LINESEARCH; NAVIER-STOKES EQUATION; NEWTON ITERATIVE METHODS; NEWTON KRYLOV METHOD; NEWTON'S METHODS; NEWTON-GMRES METHOD; TRUNCATED NEWTON METHOD;

DAMPING;

EID: 0037055748     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2002.7102     Document Type: Article

References (15)

1. Incremental condition estimation
2. Robust Incremental Condition Estimation
3. GMRES on (nearly) singular systems
4. Inexact Newton methods
5. Numerical Methods for Unconstrained Optimization and Nonlinear Equations
6. Globally convergent inexact Newton methods
7. Choosing the forcing terms in an inexact Newton method
8. Iterative solution of linear systems
9. Matrix Computations
10. NITSOL: A Newton iterative solver for nonlinear systems
11. GMRES: A generalized minimal residual method for solving nonsymmetric linear systems
12. MPSalsa, A Finite Element Computer Program for Reacting Flow Problems. Part 2-User's Guide
13. A fully coupled Newton-Krylov solution method for parallel unstructured finite element fluid flow, heat and mass transport simulations
14. An inexact Newton method for fully-coupled solution of the Navier-Stokes equations with heat and mass transport