A Posteriori Error Estimation in PDE-constrained Optimization with Pointwise Inequality Constraints
From MaRDI portal
Publication:2961074
DOI10.1007/978-3-0348-0133-1_19zbMath1356.49052OpenAlexW104358803MaRDI QIDQ2961074
Boris Vexler, Winnifried Wollner, Rolf Rannacher
Publication date: 17 February 2017
Published in: International Series of Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-0348-0133-1_19
regularizationadaptivitycontrol and state constraintsPDE-constrained optimizationadaptive finite elementsgoal oriented error estimation
Numerical optimization and variational techniques (65K10) Approximation methods and heuristics in mathematical programming (90C59) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)
Related Items
Model Reduction by Adaptive Discretization in Optimal Control, Multigoal-oriented optimal control problems with nonlinear PDE constraints, A Stochastic Gradient Method With Mesh Refinement for PDE-Constrained Optimization Under Uncertainty, Preconditioned Solution of State Gradient Constrained Elliptic Optimal Control Problems, A decomposition method for MINLPs with Lipschitz continuous nonlinearities, Adaptive Optimal Control of the Obstacle Problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discretization of interior point methods for state constrained elliptic optimal control problems: Optimal error estimates and parameter adjustment
- 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 posterior error estimation for finite element discretization of parameter identification problems
- An adaptive finite element discretisation for a simplified Signorini problem
- Weighted error estimates for finite element solutions of variational inequalities
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations
- Analytical expressions for the eigenvalues and eigenvectors of the Hessian matrices of barrier and penalty functions
- Ana posteriorierror analysis of adaptive finite element methods for distributed elliptic control problems with control 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 posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems
- Control of an Elliptic Problem with Pointwise State Constraints
- A Penalization Method for Optimal Control of Elliptic Problems with State Constraints
- Edge Residuals Dominate A Posteriori Error Estimates for Low Order Finite Element Methods
- On boundary state constrained control problems
- Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
- Superconvergence Properties of Optimal Control Problems
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- Goal-Oriented Adaptivity in Control Constrained Optimal Control of Partial Differential Equations
- The Mathematical Theory of Finite Element Methods
- Adaptive Space‐Time Finite Element Methods for Parabolic Optimization Problems
- Estimating the control error in discretized PDE-constrained optimization
- Finite Elements
- A posteriori error estimates for distributed convex optimal control problems
