On the solution of the distributed optimal control problem with time‐periodic parabolic equations

DOI10.1002/mma.9282MaRDI QIDQ6185401

Davod Khojasteh Salkuyeh, Maeddeh Pourbagher

Publication date: 8 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

convergencefinite elementpreconditioneriterativeiteration parameterPDE-constrained

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10)

Cites Work

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• Nested multigrid methods for time-periodic, parabolic optimal control problems
• Optimal control of the time-periodic MHD equations
• Preconditioning techniques for large linear systems: A survey
• Stability estimates and structural spectral properties of saddle point problems
• Respectively scaled splitting iteration method for a class of block 4-by-4 linear systems from eddy current electromagnetic problems
• A new iterative method for solving a class of two-by-two block complex linear systems
• A block alternating splitting iteration method for a class of block two-by-two complex linear systems
• Newton–Picard-Based Preconditioning for Linear-Quadratic Optimization Problems with Time-Periodic Parabolic PDE Constraints
• One-shot solution of a time-dependent time-periodic PDE-constrained optimization problem
• A preconditioned MinRes solver for time-periodic parabolic optimal control problems
• Optimal Solvers for PDE-Constrained Optimization
• Block-triangular preconditioners for PDE-constrained optimization
• Newton--Picard Preconditioners for Time-Periodic Parabolic Optimal Control Problems
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• An alternating positive-semidefinite splitting preconditioner for saddle point problems from time-harmonic eddy current models
• A Robust Preconditioned MinRes Solver for Distributed Time-Periodic Eddy Current Optimal Control Problems
• A New Iteration and Preconditioning Method for Elliptic PDE-Constrained Optimization Problems
• A Flexible Inner-Outer Preconditioned GMRES Algorithm
• Methods of conjugate gradients for solving linear systems

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