PARAOPT: A Parareal Algorithm for Optimality Systems
From MaRDI portal
Publication:5131988
DOI10.1137/19M1292291zbMath1451.49034arXiv1911.01686OpenAlexW3087651096MaRDI QIDQ5131988
Martin J. Gander, Felix Kwok, Julien Salomon
Publication date: 9 November 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.01686
Numerical optimization and variational techniques (65K10) Parallel numerical computation (65Y05) Preconditioners for iterative methods (65F08) PDE constrained optimization (numerical aspects) (49M41)
Related Items (11)
A parallel-in-time approach for accelerating direct-adjoint studies ⋮ Time domain decomposition of parabolic control problems based on discontinuous Galerkin semi-discretization ⋮ A parallel-in-time multiple shooting algorithm for large-scale PDE-constrained optimal control problems ⋮ PiTSBiCG: parallel in time stable bi-conjugate gradient algorithm ⋮ A numerical scheme for the optimal control of groundwater pollution ⋮ Analysis of the parareal algorithm for linear parametric differential equations ⋮ Parallel-in-time multiple shooting for optimal control problems governed by the Navier-Stokes equations ⋮ Space-time methods for time-dependent partial differential equations. Abstracts from the workshop held February 6--12, 2022 ⋮ A hybrid algorithm based on parareal and Schwarz waveform relaxation ⋮ ParaOpt ⋮ Time-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Toward an efficient parallel in time method for partial differential equations
- Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for parabolic problems
- A hybrid parareal spectral deferred corrections method
- A parareal in time procedure for the control of partial differential equations
- Multi-grid dynamic iteration for parabolic equations
- Parallel algorithms for initial-value problems for difference and differential equations
- Parallel multiple shooting for the solution of initial value problems
- Space-time domain decomposition for parabolic problems
- Analysis for parareal algorithms applied to Hamiltonian differential equations
- Parallelization in time through tensor-product space-time solvers
- Résolution d'EDP par un schéma en temps «pararéel »
- 50 Years of Time Parallel Time Integration
- Preconditioners Based on “Parareal” Time-Domain Decomposition for Time-Dependent PDE-Constrained Optimization
- Neumann–Neumann Waveform Relaxation for the Time-Dependent Heat Equation
- A Time-Dependent Dirichlet-Neumann Method for the Heat Equation
- Multiple shooting method for two-point boundary value problems
- Interweaving PFASST and Parallel Multigrid
- Nonlinear Convergence Analysis for the Parareal Algorithm
- Lagrange Multiplier Approach to Variational Problems and Applications
- Analysis of a Krylov subspace enhanced parareal algorithm for linear problems
- Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
- A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature
- Absorbing boundary conditions for the wave equation and parallel computing
- A Space-Time Multigrid Method for Parabolic Partial Differential Equations
- Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems
- Parallel-in-Time for Parabolic Optimal Control Problems Using PFASST
- Parallel Time Integration with Multigrid
- An Efficient Parallel-in-Time Method for Optimization with Parabolic PDEs
- A non-intrusive parallel-in-time approach for simultaneous optimization with unsteady PDEs
- Constrained Optimization: From Lagrangian Mechanics to Optimal Control and PDE Constraints
- PARAEXP: A Parallel Integrator for Linear Initial-Value Problems
- Monotonic Parareal Control for Quantum Systems
- Parallel methods for integrating ordinary differential equations
- Two-Level Convergence Theory for Multigrid Reduction in Time (MGRIT)
- Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
- Analysis of the Parareal Time‐Parallel Time‐Integration Method
- Optimization of Transmission Conditions in Waveform Relaxation Techniques for RC Circuits
- Parallel Methods for the Numerical Integration of Ordinary Differential Equations
- Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems
- A non-intrusive parallel-in-time adjoint solver with the xbraid library
- Applications of time parallelization
This page was built for publication: PARAOPT: A Parareal Algorithm for Optimality Systems