Additive and restricted additive Schwarz-Richardson methods for inequalities with nonlinear monotone operators
DOI10.1007/s10589-019-00116-7zbMath1446.65191OpenAlexW2949558892WikidataQ127682064 ScholiaQ127682064MaRDI QIDQ2007823
Publication date: 22 November 2019
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10589-019-00116-7
domain decomposition methodsadditive Schwarz methodsrestricted additive Schwarz methodsnonlinear monotone inequalitiesSchwarz-Richardson methods
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Overlapping restricted additive Schwarz method applied to the linear complementarity problem with an \(H\)-matrix
- Convergence rate of some hybrid multigrid methods for variational inequalities
- A multiplicative Schwarz iteration scheme for solving the linear complementarity problem with an \(H\)-matrix
- On the nonlinear domain decomposition method
- Why restricted additive Schwarz converges faster than additive Schwarz
- Overlapping restricted additive Schwarz method with damping factor for \(H\)-matrix linear complementarity problem
- Weighted max norms, splittings, and overlapping additive Schwarz iterations
- On the abstract theory of additive and multiplicative Schwarz algorithms
- An additive analysis of multiplicative Schwarz methods
- Schwarz methods for inequalities with contraction operators
- An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms
- Globally Convergent Multigrid Method for Variational Inequalities with a Nonlinear Term
- An Introduction to Domain Decomposition Methods
- Convergence Theory of Restricted Multiplicative Schwarz Methods
- Restricted Additive Schwarz Preconditioners with Harmonic Overlap for Symmetric Positive Definite Linear Systems
- A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
- Nonlinearly Preconditioned Inexact Newton Algorithms
- Non‐linear additive Schwarz preconditioners and application in computational fluid dynamics
- Restricted Additive Schwarz Method for Some Inequalities Perturbed by a Lipschitz Operator
- Field-Split Preconditioned Inexact Newton Algorithms
- Restricted Additive Schwarz Method for a Kind of Nonlinear Complementarity Problem
- Global convergence rate of a standard multigrid method for variational inequalities
- Convergence Rate of a Schwarz Multilevel Method for the Constrained Minimization of Nonquadratic Functionals
- Weighted max-norm estimate of additive Schwarz iteration scheme for solving linear complementarity problems
This page was built for publication: Additive and restricted additive Schwarz-Richardson methods for inequalities with nonlinear monotone operators