Matching Schur Complement Approximations for Certain Saddle-Point Systems
DOI10.1007/978-3-319-72456-0_44zbMath1405.65048OpenAlexW2739233237MaRDI QIDQ4611837
John W. Pearson, Andrew J. Wathen
Publication date: 22 January 2019
Published in: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan (Search for Journal in Brave)
Full work available at URL: https://www.pure.ed.ac.uk/ws/files/44878528/PAMM2016_IPMs1.pdf
Optimality conditions for problems involving partial differential equations (49K20) PDEs in connection with fluid mechanics (35Q35) Iterative numerical methods for linear systems (65F10) Existence theories for optimal control problems involving partial differential equations (49J20) Preconditioners for iterative methods (65F08)
Related Items (6)
Cites Work
- Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements
- Preconditioned iterative methods for Navier-Stokes control problems
- A comparison of iterative methods to solve complex valued linear algebraic systems
- Stability and preconditioning for a hybrid approximation on the sphere
- Fast tensor product solvers for optimization problems with fractional differential equations as constraints
- On the development of parameter-robust preconditioners and commutator arguments for solving Stokes control problems
- Fast solvers for optimal control problems from pattern formation
- Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data
- Efficient preconditioners for large scale binary Cahn-Hilliard models
- Fast iterative solvers for convection-diffusion control problems
- Preconditioned all-at-once methods for large, sparse parameter estimation problems
- A Note on Preconditioning Nonsymmetric Matrices
- Block-Diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs
- Natural Preconditioning and Iterative Methods for Saddle Point Systems
- A new approximation of the Schur complement in preconditioners for PDE-constrained optimization
- Fast Iterative Solution of Reaction-Diffusion Control Problems Arising from Chemical Processes
- Finite Elements and Fast Iterative Solvers
- Fast Solvers for Cahn--Hilliard Inpainting
- Multilevel Algorithms for Large-Scale Interior Point Methods
- Optimal Solvers for PDE-Constrained Optimization
- Preconditioning for boundary control problems in incompressible fluid dynamics
- Numerical solution of saddle point problems
- Preconditioning of Active-Set Newton Methods for PDE-constrained Optimal Control Problems
- A Low-Rank in Time Approach to PDE-Constrained Optimization
- A Preconditioned Iterative Method for Saddlepoint Problems
- Solution of Sparse Indefinite Systems of Linear Equations
- Fast Iterative Solution of Stabilised Stokes Systems Part II: Using General Block Preconditioners
- A Note on Preconditioning for Indefinite Linear Systems
- Robust and efficient preconditioners for the discontinuous Galerkin time-stepping method
- On the Numerical Solution of the Biharmonic Equation and the Role of Squaring Matrices for Preconditioning
- Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems
- Bounds on Eigenvalues of Matrices Arising from Interior-Point Methods
- Preconditioning
- Development and Analysis of a Block-Preconditioner for the Phase-Field Crystal Equation
- A Preconditioner for the Ohta--Kawasaki Equation
- Parallel Lagrange--Newton--Krylov--Schur Methods for PDE-Constrained Optimization. Part I: The Krylov--Schur Solver
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