A Galerkin FE method for elliptic optimal control problem governed by 2D space-fractional PDEs
Numerical Analysis
2022-02-22 v1 Numerical Analysis
Abstract
In this paper, we propose a Galerkin finite element method for the elliptic optimal control problem governed by the Riesz space-fractional PDEs on 2D domains with control variable being discretized by variational discretization technique. The optimality condition is derived and priori error estimates of control, costate and state variables are successfully established. Numerical test is carried out to illustrate the accuracy performance of this approach.
Cite
@article{arxiv.2202.09616,
title = {A Galerkin FE method for elliptic optimal control problem governed by 2D space-fractional PDEs},
author = {Xiaogang Zhu},
journal= {arXiv preprint arXiv:2202.09616},
year = {2022}
}
Comments
10 pages, 6 figures