Accelerating an inexact Newton/GMRES scheme by subspace decomposition
DOI10.1016/j.apnum.2009.08.003zbMath1190.65086OpenAlexW2004912494MaRDI QIDQ972306
Andreas G. Boudouvis, George Pashos, Eleni D. Koronaki, Antony N. Spyropoulos
Publication date: 25 May 2010
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2009.08.003
convergenceeigenproblemnumerical examplesNavier-Stokes equationrecursive projection methodlid-driven cavity problemBratuinexact Newton schemesinner Krylov iterationouter Newton iterationrestarted generalized minimum residual procedure
Numerical computation of solutions to systems of equations (65H10) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- BiCGStab, VPAStab and an adaptation to mildly nonlinear systems
- Simultaneous solution of large-scale linear systems and eigenvalue problems with a parallel GMRES method
- Solving large nonlinear systems of equations by an adaptive condensation process
- The superlinear convergence behaviour of GMRES
- Parallel computation of incompressible flows in materials processing: Numerical experiments in diagonal preconditioning
- Restarted GMRES preconditioned by deflation
- Stabilization of Unstable Procedures: The Recursive Projection Method
- Hybrid Krylov Methods for Nonlinear Systems of Equations
- Continuation-Conjugate Gradient Methods for the Least Squares Solution of Nonlinear Boundary Value Problems
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Inexact Newton Methods
- Convergence Theory of Nonlinear Newton–Krylov Algorithms
- On a Class of Nonlinear Equation Solvers Based on the Residual Norm Reduction over a Sequence of Affine Subspaces
- Tensor-GMRES Method for Large Systems of Nonlinear Equations
- NITSOL: A Newton Iterative Solver for Nonlinear Systems
- Accelerated Inexact Newton Schemes for Large Systems of Nonlinear Equations
- An Adaptive Newton--Picard Algorithm with Subspace Iteration for Computing Periodic Solutions
- “Coarse” stability and bifurcation analysis using time-steppers: A reaction-diffusion example
- A Subspace, Interior, and Conjugate Gradient Method for Large-Scale Bound-Constrained Minimization Problems
- Nonlinearly Preconditioned Inexact Newton Algorithms
- EQUATION-FREE, EFFECTIVE COMPUTATION FOR DISCRETE SYSTEMS: A TIME STEPPER BASED APPROACH
This page was built for publication: Accelerating an inexact Newton/GMRES scheme by subspace decomposition