New time domain decomposition methods for parabolic optimal control problems. II: Neumann-Neumann algorithms
DOI10.1137/24m1634424MaRDI QIDQ6652415
Publication date: 12 December 2024
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
convergence analysisparallel in timeparabolic optimal control problemsNeumann-Neumann algorithmtime domain decomposition
Controllability (93B05) 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) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Approximation by arbitrary linear expressions (41A45) PDE constrained optimization (numerical aspects) (49M41)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Nested multigrid methods for time-periodic, parabolic optimal control problems
- Toward an efficient parallel in time method for partial differential equations
- A robust finite element solver for a multiharmonic parabolic optimal control problem
- A parareal in time procedure for the control of partial differential equations
- A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems
- Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE
- A new multigrid method for unconstrained parabolic optimal control problems
- A parallel-in-time multiple shooting algorithm for large-scale PDE-constrained optimal control problems
- 50 Years of Time Parallel Time Integration
- Schwarz Methods for the Time-Parallel Solution of Parabolic Control Problems
- A posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD
- Functional A Posteriori Error Estimates for Time-Periodic Parabolic Optimal Control Problems
- OPTIMIZED AND QUASI-OPTIMAL SCHWARZ WAVEFORM RELAXATION FOR THE ONE-DIMENSIONAL SCHRÖDINGER EQUATION
- Space-Time Adaptive Wavelet Methods for Optimal Control Problems Constrained by Parabolic Evolution Equations
- Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems
- Optimization with PDE Constraints
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- Time-decomposed parallel time-integrators: theory and feasibility studies for fluid, structure, and fluid-structure applications
- HJB-POD-Based Feedback Design for the Optimal Control of Evolution Problems
- Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
- PARAOPT: A Parareal Algorithm for Optimality Systems
- Parallel Time Integration with Multigrid
- An Efficient Parallel-in-Time Method for Optimization with Parabolic PDEs
- A Low-Rank Tensor Method for PDE-Constrained Optimization with Isogeometric Analysis
- On the Time-Domain Decomposition of Parabolic Optimal Control Problems
- New time domain decomposition methods for parabolic optimal control problems. I: Dirichlet-Neumann and Neumann-Dirichlet algorithms
This page was built for publication: New time domain decomposition methods for parabolic optimal control problems. II: Neumann-Neumann algorithms
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6652415)