Diagonalization-based parallel-in-time algorithms for parabolic PDE-constrained optimization problems
DOI10.1051/cocv/2020012zbMath1460.65116OpenAlexW3011264371MaRDI QIDQ5854380
Publication date: 17 March 2021
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/cocv/2020012
GMRESpreconditionerBiCGStabdiagonalization techniqueparabolic PDE-constrained optimizationpint algorithm
Optimality conditions for problems involving partial differential equations (49K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Second-order parabolic equations (35K10) Preconditioners for iterative methods (65F08)
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- A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control
- Nested multigrid methods for time-periodic, parabolic optimal control problems
- Efficient time domain decomposition algorithms for parabolic PDE-constrained optimization problems
- A robust structured preconditioner for time-harmonic parabolic optimal control problems
- Inexact and truncated parareal-in-time Krylov subspace methods for parabolic optimal control problems
- Parallelization in time through tensor-product space-time solvers
- Résolution d'EDP par un schéma en temps «pararéel »
- Schwarz Methods for the Time-Parallel Solution of Parabolic Control Problems
- Efficient solvers for multiharmonic eddy current optimal control problems with various constraints and their analysis
- Parareal in Time Intermediate Targets Methods for Optimal Control Problems
- Parallel multistep methods for linear evolution problems
- 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
- Computational Optimization of Systems Governed by Partial Differential Equations
- Analysis of Block Parareal Preconditioners for Parabolic Optimal Control Problems
- Toward Parallel Coarse Grid Correction for the Parareal Algorithm
- Newton--Picard Preconditioners for Time-Periodic Parabolic Optimal Control Problems
- Fast Numerical Solution of Time-Periodic Parabolic Problems by a Multigrid Method
- A Note on Preconditioning for Indefinite Linear Systems
- Solving time‐periodic fractional diffusion equations via diagonalization technique and multigrid
- Preconditioning and Iterative Solution of All-at-Once Systems for Evolutionary Partial Differential Equations
- A Direct Time Parallel Solver by Diagonalization for the Wave Equation
- A Robust Preconditioned MinRes Solver for Distributed Time-Periodic Eddy Current Optimal Control Problems
- Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems
- A non-intrusive parallel-in-time approach for simultaneous optimization with unsteady PDEs
- Real-Time PDE-Constrained Optimization
- Analysis of the Parareal Time‐Parallel Time‐Integration Method
- Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem
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