A posteriori error estimates for an optimal control problem with a bilinear state equation
DOI10.1007/s10957-022-02039-6zbMath1493.49032arXiv2203.16036OpenAlexW4280629782MaRDI QIDQ2156391
Enrique Otárola, Francisco Fuica
Publication date: 18 July 2022
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.16036
finite elementsa posteriori error estimatesadaptive finite element methodsoptimal control problemsbilinear equations
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for free problems in two or more independent variables (49J10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)
Cites Work
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- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem
- Adaptive finite element method for elliptic optimal control problems: convergence and optimality
- Multifrontal parallel distributed symmetric and unsymmetric solvers
- Adaptive finite element approximation for a class of parameter estimation problems
- A stabilized mixed finite element approximation of bilinear state optimal control problems
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- A priori error estimates for elliptic optimal control problems with a bilinear state equation
- A Semismooth Newton Method for Nonlinear Parameter Identification Problems with Impulsive Noise
- Discrete concepts versus error analysis in PDE-constrained optimization
- Adaptive Finite Element Approximation for a Class of Parameter Estimation Problems
- A Posteriori Error Analysis of Optimal Control Problems with Control Constraints
- Ana posteriorierror analysis of adaptive finite element methods for distributed elliptic control problems with control constraints
- Optimization with PDE Constraints
- Theory of adaptive finite element methods: An introduction
- Adaptive Finite Elements for Elliptic Optimization Problems with Control Constraints
- Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
- The Mathematical Theory of Finite Element Methods
- Adaptive finite element methods for sparse PDE-constrained optimization
- A posteriori error estimates for distributed convex optimal control problems
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