Optimal control of partial differential equations
E Casas, M Mateos - … , Numerical Analysis and Applications: Lecture Notes …, 2017 - Springer
In this chapter, we present an introduction to the optimal control of partial differential
equations. After explaining what an optimal control problem is and the goals of the analysis …
equations. After explaining what an optimal control problem is and the goals of the analysis …
Optimal control of PDEs and FE-approximation
E Casas, K Kunisch, F Tröltzsch - Handbook of Numerical Analysis, 2022 - Elsevier
Optimal control problems of partial differential equations are studied. Though the focus lies
on elliptic partial differential equations, similar methods can be used for the analysis of …
on elliptic partial differential equations, similar methods can be used for the analysis of …
Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations
E Casas, M Mateos, A Rösch - Numerische Mathematik, 2021 - Springer
We analyze the numerical approximation of a control problem governed by a non-monotone
and non-coercive semilinear elliptic equation. The lack of monotonicity and coercivity is due …
and non-coercive semilinear elliptic equation. The lack of monotonicity and coercivity is due …
Virtual element method for semilinear elliptic Neumann boundary optimal control problem
S Liu, W Shen, Z Zhou - Computers & Mathematics with Applications, 2024 - Elsevier
In this paper, we investigate virtual element discretization of a semilinear elliptic optimal
control problem with pointwise Neumann boundary control constraint. The virtual element …
control problem with pointwise Neumann boundary control constraint. The virtual element …
Error estimates for the discretization of bilinear control problems governed by semilinear elliptic pdes
E Casas, K Chrysafinos, M Mateos - arXiv preprint arXiv:2404.05658, 2024 - arxiv.org
This paper studies an optimal control problem governed by a semilinear elliptic equation, in
which the control acts in a multiplicative or bilinear way as the reaction coefficient of the …
which the control acts in a multiplicative or bilinear way as the reaction coefficient of the …
[PDF][PDF] Numerical analysis for elliptic Neumann boundary control problems on polygonal domains
J Pfefferer - 2014 - athene-forschung.unibw.de
Subject of this thesis is the numerical analysis of optimal control problems with linear and
semilinear elliptic partial differential equations in polygonal domains. It is assumed that the …
semilinear elliptic partial differential equations in polygonal domains. It is assumed that the …
Error estimates for the finite element approximation of bilinear boundary control problems
M Winkler - Computational Optimization and Applications, 2020 - Springer
In this article a special class of nonlinear optimal control problems involving a bilinear term
in the boundary condition is studied. These kind of problems arise for instance in the …
in the boundary condition is studied. These kind of problems arise for instance in the …
Morley FEM for a distributed optimal control problem governed by the von Kármán equations
S Chowdhury, N Nataraj, D Shylaja - Computational Methods in …, 2021 - degruyter.com
Consider the distributed optimal control problem governed by the von Kármán equations
defined on a polygonal domain of ℝ 2 that describe the deflection of very thin plates with box …
defined on a polygonal domain of ℝ 2 that describe the deflection of very thin plates with box …
Non-coercive Neumann boundary control problems
T Apel, M Mateos, A Rösch - arXiv preprint arXiv:2403.12551, 2024 - arxiv.org
The article examines a linear-quadratic Neumann control problem that is governed by a non-
coercive elliptic equation. Due to the non-self-adjoint nature of the linear control-to-state …
coercive elliptic equation. Due to the non-self-adjoint nature of the linear control-to-state …
Virtual element method for elliptic Neumann boundary optimal control problem
S Liu, Z Zhou - Computational and Applied Mathematics, 2023 - Springer
In this paper, we study the virtual element discretization of an elliptic optimal control problem
with pointwise Neumann boundary control constraint. We construct a virtual element discrete …
with pointwise Neumann boundary control constraint. We construct a virtual element discrete …