The nonlinear inexact Uzawa hybrid algorithms based on one-step Newton method for solving nonlinear saddle-point problems
From MaRDI portal
Publication:670788
DOI10.1016/j.amc.2015.08.022zbMath1410.65186OpenAlexW1682013764MaRDI QIDQ670788
Publication date: 20 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.022
preconditioningnonlinear inexact Uzawa algorithmnonlinear saddle-point problemone-step Newton method
Numerical computation of solutions to systems of equations (65H10) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items
A New GSOR Method for Generalised Saddle Point Problems, The dimensional splitting iteration methods for solving saddle point problems arising from time-harmonic eddy current models
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Consistent approximations in Newton-type decomposition methods
- The extremal solution of the matrix equation \(X^s+A^\ast X^{-q}A=I\)
- On preconditioned Uzawa methods and SOR methods for saddle-point problems
- Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations
- On an iterative method for saddle point problems
- A class of iterative methods for solving saddle point problems
- Preconditioners for saddle point problems arising in computational fluid dynamics
- Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems
- Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
- On generalized parameterized inexact Uzawa method for a block two-by-two linear system
- A nonsmooth version of Newton's method
- On the Solution of Equality Constrained Quadratic Programming Problems Arising in Optimization
- Analysis of iterative methods for saddle point problems: a unified approach
- An Iterative Method with Variable Relaxation Parameters for Saddle-Point Problems
- The Numerical Solution of Equality-Constrained Quadratic Programming Problems
- Algorithm 866
- Optimization and nonsmooth analysis
- A Preconditioning Technique for Indefinite Systems Resulting from Mixed Approximations of Elliptic Problems
- The Convergence Factor of Preconditioned Algorithms of the Arrow–Hurwicz Type
- Applications of a Splitting Algorithm to Decomposition in Convex Programming and Variational Inequalities
- Mixed and Hybrid Finite Element Methods
- A Preconditioned Iterative Method for Saddlepoint Problems
- An Augmented Lagrangian Method for Identifying Discontinuous Parameters in Elliptic Systems
- Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
- Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems
- Global and Superlinear Convergence of Inexact Uzawa Methods for Saddle Point Problems with Nondifferentiable Mappings
- Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term
- An Efficient Iterative Method for the Generalized Stokes Problem
- A 3D Rectangular Mixed Finite Element Method to Solve the Stationary Semiconductor Equations
- An Iteration for Indefinite Systems and Its Application to the Navier--Stokes Equations
- An Optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients
- On the Nonlinear Inexact Uzawa Algorithm for Saddle-Point Problems
- A Note on Preconditioning for Indefinite Linear Systems
- On optimization techniques for solving nonlinear inverse problems
- Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems
- A null space algorithm for mixed finite-element approximations of Darcy's equation
- Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations
- Nonlinear Inexact Uzawa Algorithms for Linear and Nonlinear Saddle-point Problems
- SOR-like methods for augmented systems
