Adaptive virtual element method for optimal control problem governed by general elliptic equation

Q Wang, Z Zhou - Journal of Scientific Computing, 2021 - Springer
In this paper a posteriori error analysis of virtual element method (VEM) for the optimal
control problem governed by general elliptic equation is presented. The virtual element …

A priori error analysis of mixed virtual element methods for optimal control problems governed by Darcy equation

X Wang, Q Wang, Z Zhou - East Asian J. Appl. Math, 2023 - doc.global-sci.org
A mixed virtual element discretization of optimal control problems governed by the Darcy
equation with pointwise control constraint is investigated. A discrete scheme uses virtual …

Some error estimates of finite volume element method for parabolic optimal control problems

X Luo, Y Chen, Y Huang, T Hou - Optimal Control Applications …, 2014 - Wiley Online Library
In this paper, the finite volume element method (FVEM) is applied to solve the distributed
optimal control problems governed by parabolic equation. We use the method of variational …

Mimetic discretizations of elliptic control problems

PF Antonietti, N Bigoni, M Verani - Journal of Scientific Computing, 2013 - Springer
We investigate the performance of the Mimetic Finite Difference (MFD) method for the
approximation of a constraint optimal control problem governed by an elliptic operator. Low …

[PDF][PDF] SOME ERROR ESTIMATES OF FINITE VOLUME ELEMENT APPROXIMATION FOR ELLIPTIC OPTIMAL CONTROL PROBLEMS.

X Luo, Y Chen, Y Huang - International Journal of Numerical Analysis & …, 2013 - Citeseer
In this paper, finite volume element method is applied to solve the distributed optimal control
problems governed by an elliptic equation. We use the method of variational discretization …

Mimetic finite differences for nonlinear and control problems

PF Antonietti, L Beirão da Veiga, N Bigoni… - … Models and Methods …, 2014 - World Scientific
In this paper we review some recent applications of the mimetic finite difference method to
nonlinear problems (variational inequalities and quasilinear elliptic equations) and optimal …

[HTML][HTML] Error estimates and superconvergence of a mixed finite element method for elliptic optimal control problems

T Hou, C Liu, Y Yang - Computers & Mathematics with Applications, 2017 - Elsevier
In this paper, we investigate error estimates and superconvergence of a mixed finite element
method for elliptic optimal control problems. The gradient for our method belongs to the …

An interface-unfitted finite element method for elliptic interface optimal control problem

CC Yang, T Wang, X **e - arxiv preprint arxiv:1805.04844, 2018 - arxiv.org
This paper develops and analyses numerical approximation for linear-quadratic optimal
control problem governed by elliptic interface equations. We adopt variational discretization …

[HTML][HTML] Optimal control for electromagnetic cloaking metamaterial parameters design

Z Fang, J Li, X Wang - Computers & Mathematics with Applications, 2020 - Elsevier
In this paper, we develop an optimal control problem to optimize the permittivity and
permeability of the metamaterial which can have the invisible cloaking effect. The inverse …

A priori error estimates of Crank-Nicolson finite element method for parabolic optimal control problems

X Zhang, J Zhao, Y Hou - Computers & Mathematics with Applications, 2023 - Elsevier
In this paper, the fully discrete finite element approximation for parabolic optimal control
problems with pointwise control constraints is studied. We use standard piecewise linear …