Low-Rank Update of the Restricted Additive Schwarz Preconditioner for Nonlinear Systems
DOI10.1007/978-3-319-05789-7_82zbMath1382.65233OpenAlexW2486971247MaRDI QIDQ3133702
L. Berenguer, Damien Tromeur-Dervout
Publication date: 5 February 2018
Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-05789-7_82
convergencenumerical exampleKrylov subspace methodNewton iterationsparallel preconditioningrestricted additive Schwarz preconditioner
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stochastic functional-differential equations (34K50) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Preconditioners for iterative methods (65F08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Low-rank update of preconditioners for the inexact Newton method with SPD Jacobian
- Quasi-Newton preconditioners for the inexact Newton method
- Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
- An extension of the theory of secant preconditioners
- An autoadaptative limited memory Broyden's method to solve systems of nonlinear equations
- Two classes of multisecant methods for nonlinear acceleration
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- Quasi-Newton Methods, Motivation and Theory
- Pseudotransient Continuation and Differential-Algebraic Equations
- A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
- On the Local and Superlinear Convergence of Quasi-Newton Methods
- Minimizing the Condition Number for Small Rank Modifications
- What Color Is Your Jacobian? Graph Coloring for Computing Derivatives
