Superlinear Convergence of the GMRES for PDE-Constrained Optimization Problems

DOI10.1080/01630563.2018.1431928zbMath1392.49035OpenAlexW2790447226MaRDI QIDQ5745175

Owe Axelsson, János Karátson

Publication date: 5 June 2018

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2018.1431928

zbMATH Keywords

optimal controlpreconditionerssuperlinear convergence

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Discrete approximations in optimal control (49M25)

Related Items (3)

Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners ⋮ Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks ⋮ Bi-parametric operator preconditioning

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control
• Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems
• Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators
• Equivalent operator preconditioning for elliptic problems
• Classes of linear operators. Vol. I
• An efficient preconditioning method for state box-constrained optimal control problems
• On the theory of equivalent operators and application to the numerical solution of uniformly elliptic partial differential equations
• Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators
• Preconditioning by Fast Direct Methods for Nonself-Adjoint Nonseparable Elliptic Equations
• A Parallel Fast Direct Solver for Block Tridiagonal Systems with Separable Matrices of Arbitrary Dimension
• Iterative Solution Methods
• A Note on the Superlinear Convergence of GMRES
• Preconditioning and Boundary Conditions without $H_2$ Estimates: $L_2$ Condition Numbers and the Distribution of the Singular Values
• Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function
• A Fast Solver for anH₁Regularized PDE-Constrained Optimization Problem

This page was built for publication: Superlinear Convergence of the GMRES for PDE-Constrained Optimization Problems