On gradient-type optimization method utilizing mixed finite element approximation for optimal boundary control problem governed by bi-harmonic equation

被引：5

作者：

Li Bingjie ^{[1
]}

Liu Sanyang

机构：

[1] Xidian Univ, Dept Math, Xian 710071, Shaanxi, Peoples R China

[2] Air Force Engn Univ, Coll Sci, Xian 710051, Shaanxi, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 186卷 / 02期

基金：

中国国家自然科学基金;

关键词：

optimal control; mixed finite element; bi-harmonic equation; error estimate;

D O I：

10.1016/j.amc.2006.07.142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a numerical method based on mixed finite element method for optimal boundary control problem governed by bi-harmonic equation is presented. The system of optimality equations consisting of state and costate function is derived. Based on the system, a gradient-type optimization method using a mixed finite approximation for solving the optimal boundary control is developed. In our algorithm, the trace of vortex function of costate equation on boundary plays a key role. Finally, a local error analysis at every iteration for this gradient-type optimization method is given. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1429 / 1440

页数：12

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