A new multigrid method for unconstrained parabolic optimal control problems
From MaRDI portal
Publication:2012613
DOI10.1016/j.cam.2017.06.008zbMath1370.65032OpenAlexW2624988151MaRDI QIDQ2012613
Jun Liu, Mingqing Xiao, Buyang Li
Publication date: 1 August 2017
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2017.06.008
stabilityconvergenceleapfrog schememultigrid methodfinite differencenumerical experimentparabolic optimal controllinear time complexity
Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Complexity and performance of numerical algorithms (65Y20) Discrete approximations in optimal control (49M25)
Related Items (4)
Optimal order multigrid preconditioners for the distributed control of parabolic equations with coarsening in space and time ⋮ BDF2 schemes for optimal parameter control problems governed by bilinear parabolic equations ⋮ A splitting algorithm for constrained optimization problems with parabolic equations ⋮ Quasi-boundary value methods for regularizing the backward parabolic equation under the optimal control framework
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new semi-smooth Newton multigrid method for control-constrained semi-linear elliptic PDE problems
- A leapfrog multigrid algorithm for the optimal control of parabolic PDEs with Robin boundary conditions
- Renormalized solutions to a reaction-diffusion system applied to image denoising
- Multigrid second-order accurate solution of parabolic control-constrained problems
- Convergence analysis of multigrid methods with collective point smoothers for optimal control problems
- On the dynamics of Navier-Stokes equations for a spherically symmetric shallow water model
- Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology
- A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems
- Implementation and analysis of multigrid schemes with finite elements for elliptic optimal control problems
- A numerical method for solving parabolic equations with opposite orientations
- Multigrid methods for parabolic distributed optimal control problems
- Second-order approximation and fast multigrid solution of parabolic bilinear optimization problems
- Fast Iterative Solution of Reaction-Diffusion Control Problems Arising from Chemical Processes
- Indirect Multiple Shooting for Nonlinear Parabolic Optimal Control Problems with Control Constraints
- Space-time finite element approximation of parabolic optimal control problems
- Crank--Nicolson Schemes for Optimal Control Problems with Evolution Equations
- A novel adaptive partial differential equation model for image segmentation
- A Space-Time Multigrid Method for Optimal Flow Control
- Optimal Solvers for PDE-Constrained Optimization
- Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints
- Computational Optimization of Systems Governed by Partial Differential Equations
- A Smooth Regularization of the Projection Formula for Constrained Parabolic Optimal Control Problems
- A Priori Error Analysis of the Petrov–Galerkin Crank–Nicolson Scheme for Parabolic Optimal Control Problems
- Constrained $H^1$-Regularization Schemes for Diffeomorphic Image Registration
- Lagrange Multiplier Approach to Variational Problems and Applications
- Optimization with PDE Constraints
- Convergence of discontinuous Galerkin approximations of an optimal control problem associated to semilinear parabolic PDE's
- Multigrid Methods and Sparse-Grid Collocation Techniques for Parabolic Optimal Control Problems with Random Coefficients
- On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
- Multigrid Methods for PDE Optimization
- On the Fast Solving of Parabolic Boundary Control Problems
- A Multigrid Tutorial, Second Edition
- A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations
- Experiences with a space–time multigrid method for the optimal control of a chemical turbulence model
- Perspectives in Flow Control and Optimization
- A Space-Time Multigrid Method for Parabolic Partial Differential Equations
- Multigrid Solution of a Lavrentiev-Regularized State-Constrained Parabolic Control Problem
- Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems
- An Inexact Newton--Krylov Algorithm for Constrained Diffeomorphic Image Registration
- Real-Time PDE-Constrained Optimization
- Distributed optimal control of lambda–omega systems
- A leapfrog semi-smooth Newton-multigrid method for semilinear parabolic optimal control problems
This page was built for publication: A new multigrid method for unconstrained parabolic optimal control problems
