Model Reduction by Adaptive Discretization in Optimal Control
From MaRDI portal
Publication:2945489
DOI10.1007/978-3-319-05083-6_17zbMath1320.49017OpenAlexW256310331MaRDI QIDQ2945489
Publication date: 11 September 2015
Published in: International Series of Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-05083-6_17
model reductiongoal-oriented adaptivitya posteriori error estimationadaptive discretizationadaptive stopping criteriaDWR methodPDE-based optimization
Numerical methods involving duality (49M29) Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Newton-type methods (49M15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Existence theories for optimal control problems involving partial differential equations (49J20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Discrete approximations in optimal control (49M25) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state
- 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 posteriori error estimates for a finite element discretization of interior point methods for an elliptic optimization problem with state constraints
- A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints
- Finite element approximation of elliptic control problems with constraints on the gradient
- Optimal control of semilinear elliptic equations with pointwise constraints on the gradient of the state
- A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting
- Approximate solutions of boundary value problems for systems of ordinary differential equations
- A posterior error estimation for finite element discretization of parameter identification problems
- Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations
- Résolution d'EDP par un schéma en temps «pararéel »
- Indirect Multiple Shooting for Nonlinear Parabolic Optimal Control Problems with Control Constraints
- A Posteriori Error Representations for Elliptic Optimal Control Problems with Control and State Constraints
- A Posteriori Error Estimation in PDE-constrained Optimization with Pointwise Inequality Constraints
- Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints
- Algorithms for PDE-constrained optimization
- Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error
- Adaptive discretizations for the choice of a Tikhonov regularization parameter in nonlinear inverse problems
- A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimization Problems with Pointwise State Constraints in Time
- On Optimal Shooting Intervals
- An optimal control approach to a posteriori error estimation in finite element methods
- Ana posteriorierror analysis of adaptive finite element methods for distributed elliptic control problems with control constraints
- Optimization with PDE Constraints
- Moreau–Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment
- PDE-Constrained Optimization Subject to Pointwise Constraints on the Control, the State, and Its Derivative
- A posteriori error control of a state constrained elliptic control problem
- Adaptive Finite Elements for Elliptic Optimization Problems with Control Constraints
- Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
- Mesh adaptive multiple shooting for partial differential equations. Part I: linear quadratic optimal control problems
- A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems
- An Adaptive Shooting Method for Singularly Perturbed Boundary Value Problems
- Control of an Elliptic Problem with Pointwise State Constraints
- On Dichotomy and Well Conditioning in BVP
- Global and Asymptotic Convergence Rate Estimates for a Class of Projected Gradient Processes
- A Penalization Method for Optimal Control of Elliptic Problems with State Constraints
- Primal-Dual Strategy for Constrained Optimal Control Problems
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- Adaptive algorithms for optimal control of time‐dependent partial differential‐algebraic equation systems
- Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
- Adaptive FEM for PDE Constrained Optimization with Pointwise Constraints on the Gradient of the State
- On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations
- Numerical methods for optimal control problems in design of robust optimal experiments for nonlinear dynamic processes
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- Primal-Dual Active Set Strategy for a General Class of Constrained Optimal Control Problems
- Solution of Optimal Control Problems by a Pointwise Projected Newton Method
- Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors
- Goal-oriented error control of the iterative solution of finite element equations
- A Primal-Dual Active Set Strategy for Optimal Boundary Control of a Nonlinear Reaction-Diffusion System
- Goal-Oriented Adaptivity in Control Constrained Optimal Control of Partial Differential Equations
- Goal‐oriented space–time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow
- On two numerical methods for state-constrained elliptic control problems
- Efficient numerical solution of parabolic optimization problems by finite element methods
- Adaptive Space‐Time Finite Element Methods for Parabolic Optimization Problems
- Numerical Sensitivity Analysis for the Quantity of Interest in PDE‐Constrained Optimization
- Analysis of the Parareal Time‐Parallel Time‐Integration Method
- Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization
- The convergence of shooting methods
- Estimating the control error in discretized PDE-constrained optimization
- Mesh adaptation for stationary flow control
- A posteriori error estimates for distributed convex optimal control problems
