Time domain decomposition of parabolic control problems based on discontinuous Galerkin semi-discretization
From MaRDI portal
Publication:2120804
DOI10.1016/j.apnum.2022.02.016zbMath1486.49044OpenAlexW4214715615MaRDI QIDQ2120804
Yao-Lin Jiang, Chen-Ye Wang, Zhen Miao
Publication date: 1 April 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2022.02.016
Numerical methods based on necessary conditions (49M05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDE constrained optimization (numerical aspects) (49M41)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A parareal waveform relaxation algorithm for semi-linear parabolic partial differential equations
- A posteriori error estimates for optimal distributed control governed by the evolution equations
- 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
- A spatial domain decomposition method for parabolic optimal control problems
- ParaDiag
- Efficient time domain decomposition algorithms for parabolic PDE-constrained optimization problems
- A non-overlapping DDM for optimal boundary control problems governed by parabolic equations
- Résolution d'EDP par un schéma en temps «pararéel »
- 50 Years of Time Parallel Time Integration
- Schwarz Methods for the Time-Parallel Solution of Parabolic Control Problems
- Analysis of Two Parareal Algorithms for Time-Periodic Problems
- Convergence of discontinuous Galerkin approximations of an optimal control problem associated to semilinear parabolic PDE's
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints
- A Superlinear Convergence Estimate for the Parareal Schwarz Waveform Relaxation Algorithm
- A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations
- PARAOPT: A Parareal Algorithm for Optimality Systems
- Parallel Time Integration with Multigrid
- An Efficient Parallel-in-Time Method for Optimization with Parabolic PDEs
- A parareal approach of semi‐linear parabolic equations based on general waveform relaxation
- Multilevel Convergence Analysis of Multigrid-Reduction-in-Time
- On the Time-Domain Decomposition of Parabolic Optimal Control Problems
- Monotonic Parareal Control for Quantum Systems
- Parallel methods for integrating ordinary differential equations
- Multigrid Reduction in Time for Nonlinear Parabolic Problems: A Case Study
- Two-Level Convergence Theory for Multigrid Reduction in Time (MGRIT)
- Adaptive Space‐Time Finite Element Methods for Parabolic Optimization Problems
- Applications of time parallelization