A Galerkin FE method for elliptic optimal control problem governed by 2D space-fractional PDEs

Autor:	Zhu, Xiaogang
Rok vydání:	2022
Předmět:	Mathematics - Numerical Analysis 35R11 65D25 65M9 G.1.6 G.1.8
Druh dokumentu:	Working Paper
Popis:	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. Comment: 10 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.09616 Zobrazit plný text záznamu View this record from Arxiv