Convergence analysis and optimization of a Robin Schwarz waveform relaxation method for time-periodic parabolic optimal control problems
DOI10.1016/j.jcp.2023.112572OpenAlexW4387806790MaRDI QIDQ6202140
Gabriele Ciaramella, Laurence Halpern, Luca Mechelli
Publication date: 21 February 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2023.112572
Schwarz methodsdomain decomposition methodsdiscrete Fourier analysisoptimal control problemsperiodic parabolic equations
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Numerical methods in optimal control (49Mxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- A robust finite element solver for a multiharmonic parabolic optimal control problem
- Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions
- Optimal control of the time-periodic MHD equations
- On the scalability of classical one-level domain-decomposition methods
- A note on preconditioning methods for time-periodic eddy current optimal control problems
- Domain decomposition methods in optimal control of partial differential equations
- Discrete optimization of Robin transmission conditions for anisotropic diffusion with discrete duality finite volume methods
- Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems
- Analysis and discretization of an optimal control problem for the time-periodic MHD equations
- Time-domain decomposition of optimal control problems for the wave equation
- Numerical Methods for Time-Periodic Solutions of Nonlinear Parabolic Boundary Value Problems
- A homographic best approximation problem with application to optimized Schwarz waveform relaxation
- Optimized Domain Decomposition Methods for the Spherical Laplacian
- Neumann--Neumann Domain Decomposition Preconditioners for Linear-Quadratic Elliptic Optimal Control Problems
- Fast Numerical Solution of Time-Periodic Parabolic Problems by a Multigrid Method
- On Dynamic Iteration Methods for Solving Time-Periodic Differential Equations
- Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
- Balancing Neumann-Neumann Methods for Elliptic Optimal Control Problems
- A Robust Preconditioned MinRes Solver for Distributed Time-Periodic Eddy Current Optimal Control Problems
- A Complex Homographic Best Approximation Problem. Application to Optimized Robin--Schwarz Algorithms, and Optimal Control Problems
- Convergence of Substructuring Methods for Elliptic Optimal Control Problems
- A Domain Decomposition Method with Coupled Transmission Conditions for the Optimal Control of Systems Governed by Elliptic Partial Differential Equations
- Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-Sized Subdomains: Part I
- Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
- Optimized Schwarz Methods
This page was built for publication: Convergence analysis and optimization of a Robin Schwarz waveform relaxation method for time-periodic parabolic optimal control problems