Finite element error analysis of affine optimal control problems
type: Item
instance of: scholarly article
title: Finite element error analysis of affine optimal control problems
author: Nicolai Jork
published in: European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
publication date: 2024-09-30T00:00:00Z
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 49M25
zbMATH DE Number: 7920196
zbMATH Keywords: semilinear elliptic equations
zbMATH Keywords: optimality conditions
zbMATH Keywords: finite element error estimation
MaRDI profile type: Publication
cites work: Hölder regularity in bang-bang type affine optimal control problems
cites work: On Stability of Bang-Bang Type Controls
cites work: Second Order Sufficient Conditions for Time-Optimal Bang-Bang Control
cites work: Q4216932
cites work: Q5323189
cites work: Q5440842
cites work: On the Regularity of Mayer-Type Affine Optimal Control Problems
cites work: On the Regularity of Linear-Quadratic Optimal Control Problems with Bang-Bang Solutions
cites work: Metric regularity properties in bang-bang type linear-quadratic optimal control problems
cites work: Metric regularity and stability of optimal control problems for linear systems
cites work: Second Order Analysis for Bang-Bang Control Problems of PDEs
cites work: Optimal control of a semilinear parabolic equation with singular arcs
cites work: Error Estimates for Semilinear Parabolic Control Problems in the Absence of Tikhonov Term
cites work: Second Order and Stability Analysis for Optimal Sparse Control of the FitzHugh--Nagumo Equation
cites work: Second-Order and Stability Analysis for State-Constrained Elliptic Optimal Control Problems with Sparse Controls
cites work: Second-order optimality conditions for weak and strong local solutions of parabolic optimal control problems
cites work: Sufficient Second-Order Conditions for Bang-Bang Control Problems
cites work: New Assumptions for Stability Analysis in Elliptic Optimal Control Problems
cites work: Stability in Affine Optimal Control Problems Constrained by Semilinear Elliptic Partial Differential Equations
cites work: On the solution stability of parabolic optimal control problems
cites work: State error estimates for the numerical approximation of sparse distributed control problems in the absence of Tikhonov regularization
cites work: Second-Order Analysis and Numerical Approximation for Bang-Bang Bilinear Control Problems
cites work: A note on the approximation of elliptic control problems with bang-bang controls
cites work: Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization
cites work: Quantitative inequality for the eigenvalue of a Schrödinger operator in the ball
cites work: Quantitative estimates for parabolic optimal control problems under \(L^\infty\) and \(L^1\) constraints in the ball: quantifying parabolic isoperimetric inequalities
cites work: Analysis of control problems of nonmontone semilinear elliptic equations
cites work: Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations
cites work: Elliptic Partial Differential Equations of Second Order
cites work: Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
cites work: Q3558349
cites work: Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations
cites work: Q3470840
cites work: Q4315454
cites work: Q4531674
cites work: Q5186672
cites work: Uniform convergence of the FEM applications to state constrained control problems
cites work: Q3134551
cites work: On the Morse-Sard property and level sets of Sobolev and BV functions
cites work: Morse-Sard theorem in Sobolev spaces
cites work: A simple proof of the Morse-Sard theorem in Sobolev spaces
cites work: A variational discretization concept in control constrained optimization: The linear-quadratic case
cites work: A posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD
DOI: 10.1051/COCV/2024048
description: scientific article; zbMATH DE number 7920196