Turnitin
降AI改写
早检测系统
早降重系统
Turnitin-UK版
万方检测-期刊版
维普编辑部版
Grammarly检测
Paperpass检测
checkpass检测
PaperYY检测
A priori error analysis for finite element approximation of parabolic optimal control problems with pointwise control
We consider finite element approximations of parabolic control problems with pointwise
control. The state equation exhibits low regularity due to the control imposed pointwisely; …
control. The state equation exhibits low regularity due to the control imposed pointwisely; …
Strong rates of convergence for a space-time discretization of the backward stochastic heat equation, and of a linear-quadratic control problem for the stochastic heat …
We verify strong rates of convergence for a time-implicit, finite-element based space-time
discretization of the backward stochastic heat equation, and the forward-backward …
discretization of the backward stochastic heat equation, and the forward-backward …
Space-time finite element approximation of parabolic optimal control problems
In this paper we investigate a space-time finite element approximation of parabolic optimal
control problems. The first order optimality conditions are transformed into an elliptic …
control problems. The first order optimality conditions are transformed into an elliptic …
Error estimates for finite element approximations of parabolic equations with measure data
W Gong - Mathematics of computation, 2013 - ams.org
In this paper we study the a priori error estimates for the finite element approximations of
parabolic equations with measure data, especially we consider problems with separate …
parabolic equations with measure data, especially we consider problems with separate …
New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints
We study first-order necessary optimality conditions and finite element error estimates for a
class of distributed parabolic optimal control problems with pointwise state constraints. It is …
class of distributed parabolic optimal control problems with pointwise state constraints. It is …
Finite Element Error Estimation for Parabolic Optimal Control Problems with Time Delay
X Zhang, J Zhao, Y Hou - Applied Numerical Mathematics, 2025 - Elsevier
In this paper, we develop a priori error estimates for the finite element approximations of
parabolic optimal control problems with time delay and pointwise control constraints. At first …
parabolic optimal control problems with time delay and pointwise control constraints. At first …
An iterative proper orthogonal decomposition method for a parabolic optimal control problem
L Huang, H Zhao, T Sun - Journal of Applied Mathematics and Computing, 2024 - Springer
An iterative proper orthogonal decomposition (POD) method for a parabolic optimal control
problem is investigated in this paper. Firstly, we construct the finite element method, where …
problem is investigated in this paper. Firstly, we construct the finite element method, where …
[HTML][HTML] Принцип максимума Понтрягина в задаче оптимального управления уравнением теплопроводности при наличии смешанных ограничений
ДВ Сугак - Международный научно-исследовательский журнал, 2023 - cyberleninka.ru
В статье исследуется задача оптимального управления системой дифференциальных
уравнений в частных производных параболического типа второго порядка в случае …
уравнений в частных производных параболического типа второго порядка в случае …
A new finite element method for elliptic optimal control problems with pointwise state constraints in energy spaces
W Gong, Z Tan - Journal of Scientific Computing, 2025 - Springer
In this paper we propose a new finite element method for solving elliptic optimal control
problems with pointwise state constraints, including the distributed controls and the Dirichlet …
problems with pointwise state constraints, including the distributed controls and the Dirichlet …
[КНИГА][B] A-posteriori error estimation of discrete POD models for PDE-constrained optimal control
M Gubisch, I Neitzel, S Volkwein - 2017 - Springer
In this work a-posteriori error estimates for linear-quadratic optimal control problems
governed by parabolic equations are considered. Different error estimation techniques for …
governed by parabolic equations are considered. Different error estimation techniques for …