Finite Volume Element Approximation for the Elliptic Equation with Distributed Control

被引：2
|
作者：
Wang, Quanxiang [1 ]
Zhao, Tengjin [2 ]
Zhang, Zhiyue [2 ]
机构：
[1] Nanjing Agr Univ, Coll Engn, Nanjing 210031, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年 / 2018卷
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1155/2018/4753792
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a priori error estimates for the finite volume element schemes of optimal control problems, which are governed by linear elliptic partial differential equation. The variational discretization approach is used to deal with the control. The error estimation shows that the combination of variational discretization and finite volume element formulation allows optimal convergence. Numerical results are provided to support our theoretical analysis.
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页数：11
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