A parareal in time procedure for the control of partial differential equations
From MaRDI portal
Publication:700316
DOI10.1016/S1631-073X(02)02467-6zbMath1006.65071MaRDI QIDQ700316
Publication date: 24 November 2002
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Numerical optimization and variational techniques (65K10) Parallel numerical computation (65Y05) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)
Related Items
A parallel-in-time approach for accelerating direct-adjoint studies, Time domain decomposition of parabolic control problems based on discontinuous Galerkin semi-discretization, ISALT: inference-based schemes adaptive to large time-stepping for locally Lipschitz ergodic systems, Wavelet-based edge multiscale parareal algorithm for parabolic equations with heterogeneous coefficients and rough initial data, A parallel-in-time multiple shooting algorithm for large-scale PDE-constrained optimal control problems, A new approach to improve ill-conditioned parabolic optimal control problem via time domain decomposition, Optimal control in ink-jet printing via instantaneous control, A parareal method for time-fractional differential equations, Analysis of two new parareal algorithms based on the Dirichlet-Neumann/Neumann-Neumann waveform relaxation method for the heat equation, Stochastic Parareal: An Application of Probabilistic Methods to Time-Parallelization, Model Reduction by Adaptive Discretization in Optimal Control, Combining machine learning and domain decomposition methods for the solution of partial differential equations—A review, Implicit parallel time integrators, An SQP-based multiple shooting algorithm for large-scale PDE-constrained optimal control problems, An improved iterative HDG approach for partial differential equations, \textit{A posteriori} error estimation for the spectral deferred correction method, A posteriori error analysis for a space‐time parallel discretization of parabolic partial differential equations, Parallel-in-time multiple shooting for optimal control problems governed by the Navier-Stokes equations, Space-Time Reduced Basis Methods for Parametrized Unsteady Stokes Equations, PARAOPT: A Parareal Algorithm for Optimality Systems, A Superlinear Convergence Estimate for the Parareal Schwarz Waveform Relaxation Algorithm, Analysis of a new parareal algorithm based on waveform relaxation method for time-periodic problems, A Parallel-in-Time Algorithm for High-Order BDF Methods for Diffusion and Subdiffusion Equations, A parareal algorithm based on waveform relaxation, Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems, PPINN: parareal physics-informed neural network for time-dependent PDEs, A scalable time-space multiscale domain decomposition method: adaptive time scale separation, Parareal in time 3D numerical solver for the LWR benchmark neutron diffusion transient model, A hybrid algorithm based on optimal quadratic spline collocation and parareal deferred correction for parabolic PDEs, A time-parallel implicit method for accelerating the solution of non-linear structural dynamics problems, Preconditioners Based on “Parareal” Time-Domain Decomposition for Time-Dependent PDE-Constrained Optimization, On Parareal Algorithms for Semilinear Parabolic Stochastic PDEs, Parallel solution in time of ODEs: Some achievements and perspectives, Parameter-robust preconditioning for the optimal control of the wave equation, A Posteriori Error Analysis of Two-Stage Computation Methods with Application to Efficient Discretization and the Parareal Algorithm, On a mixed and multiscale domain decomposition method, Parareal Exponential $\theta$-Scheme for Longtime Simulation of Stochastic Schrödinger Equations with Weak Damping, Time-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems, Stochastic Parareal: An Application of Probabilistic Methods to Time-Parallelization, Algorithm 965, An Adaptive Parareal Algorithm: Application to the Simulation of Molecular Dynamics Trajectories
Cites Work
