Superconvergence for Optimal Control Problems Governed by Semi-linear Elliptic Equations

被引：0

作者：

Yanping Chen

Yongquan Dai

机构：

[1] Xiangtan University,Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Department of Mathematics

[2] South China Normal University,School of Mathematical Sciences

来源：

Journal of Scientific Computing | 2009年 / 39卷

关键词：

Finite element approximation; Superconvergence; Semi-linear elliptic equation; Optimal control problem; Interpolate operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we will investigate the superconvergence of the finite element approximation for quadratic optimal control problem governed by semi-linear elliptic equations. The state and co-state variables are approximated by the piecewise linear functions and the control variable is approximated by the piecewise constant functions. We derive the superconvergence properties for both the control variable and the state variables. Finally, some numerical examples are given to demonstrate the theoretical results.

引用

页码：206 / 221

页数：15

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