Uzawa-Type and Augmented Lagrangian Methods for Double Saddle Point Systems
From MaRDI portal
Publication:3294693
DOI10.1007/978-3-030-04088-8_11zbMath1442.65038OpenAlexW2922189284MaRDI QIDQ3294693
Michele Benzi, Fatemeh Panjeh Ali Beik
Publication date: 29 June 2020
Published in: Structured Matrices in Numerical Linear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-04088-8_11
finite elementsaugmented Lagrangian methodliquid crystalspotential fluid flowdouble saddle point problemsUzawa-like methods
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items
Three effective preconditioners for double saddle point problem ⋮ Efficient Preconditioners for Interior Point Methods via a New Schur Complement-Based Strategy ⋮ On GSOR, the Generalized Successive Overrelaxation Method for Double Saddle-Point Problems ⋮ Modified restrictive preconditioners for double saddle point problems arising from liquid crystal director modeling ⋮ A generalized simplified Hermitian and skew-Hermitian splitting preconditioner for double saddle point problems ⋮ An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems with Semidefinite (2,2) Block and its Application to DLM/FD Method for Elliptic Interface Problems ⋮ On parameterized block symmetric positive definite preconditioners for a class of block three-by-three saddle point problems
Uses Software
Cites Work
- Unnamed Item
- Anderson acceleration of the Jacobi iterative method: an efficient alternative to Krylov methods for large, sparse linear systems
- Preconditioning techniques for large linear systems: A survey
- Numerical Analysis of Fixed Point Algorithms in the Presence of Hardware Faults
- Anderson Acceleration for Fixed-Point Iterations
- Numerical solution of saddle point problems
- Matrix Analysis
- Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
- Schur Complement Systems in the Mixed-Hybrid Finite Element Approximation of the Potential Fluid Flow Problem
- Iterative Methods for Double Saddle Point Systems
- Mixed Finite Element Methods and Applications
- A Preconditioned Nullspace Method for Liquid Crystal Director Modeling
- Convergence analysis of Anderson‐type acceleration of Richardson's iteration
- Analysis of Monte Carlo accelerated iterative methods for sparse linear systems
- Alternating Anderson-Richardson method: an efficient alternative to preconditioned Krylov methods for large, sparse linear systems