Fast rotated BSOR method for block two-by-two linear systems with application to PDE-constrained optimal control problems
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Publication:2100534
DOI10.1007/s10543-022-00908-0zbMath1505.65160OpenAlexW4210265145WikidataQ114227188 ScholiaQ114227188MaRDI QIDQ2100534
Publication date: 22 November 2022
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-022-00908-0
preconditioningPDE-constrained optimizationKronecker structureiterative solution methodblock two-by-two linear system
Computational methods for sparse matrices (65F50) Numerical optimization and variational techniques (65K10) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08) PDE constrained optimization (numerical aspects) (49M41)
Uses Software
Cites Work
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- On SSOR iteration method for a class of block two-by-two linear systems
- Alternating-directional PMHSS iteration method for a class of two-by-two block linear systems
- Efficient numerical solution of discrete multi-component Cahn-Hilliard systems
- Accelerated PMHSS iteration methods for complex symmetric linear systems
- Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems
- A comparison of iterative methods to solve complex valued linear algebraic systems
- Rotated block triangular preconditioning based on PMHSS
- Numerical and computational efficiency of solvers for two-phase problems
- A new iterative method for solving a class of complex symmetric system of linear equations
- On preconditioned iteration methods for complex linear systems
- Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Numerical methods in computational electrodynamics. Linear systems in practical applications
- Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices
- Stability estimates and structural spectral properties of saddle point problems
- Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations
- A new version of a preconditioning method for certain two-by-two block matrices with square blocks
- Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks
- Robust additive block triangular preconditioners for block two-by-two linear systems
- Optimal control of the convection-diffusion equation using stabilized finite element methods
- Fast iterative solvers for convection-diffusion control problems
- On Chebyshev accelerated iteration methods for two-by-two block linear systems
- Natural Preconditioning and Iterative Methods for Saddle Point Systems
- A new approximation of the Schur complement in preconditioners for PDE-constrained optimization
- Preconditioning for Vector-Valued Cahn--Hilliard Equations
- Structured preconditioners for nonsingular matrices of block two-by-two structures
- Finite elements in computational electromagnetism
- Numerical solution of saddle point problems
- A Low-Rank in Time Approach to PDE-Constrained Optimization
- Preconditioned GSOR iterative method for a class of complex symmetric system of linear equations
- A Note on Preconditioning for Indefinite Linear Systems
- On a Chebyshev accelerated splitting iteration method with application to two‐by‐two block linear systems
- Matching Schur Complement Approximations for Certain Saddle-Point Systems
- Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems
- Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems
- Stabilization of Galerkin approximations of transport equations by subgrid modeling
- IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems
- Generalized successive overrelaxation iterative method for a class of complex symmetric linear system of equations
- A Flexible Inner-Outer Preconditioned GMRES Algorithm
