Meshless methods for solving Dirichlet boundary optimal control problems governed by elliptic PDEs

被引：3

作者：

Guan, Hongbo ^{[1
]}

Wang, Yong ^{[2
]}

Zhu, Huiqing ^{[3
]}

机构：

[1] Zhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou, Henan, Peoples R China

[2] Washington Univ, Dept Obstet & Gynecol Radiol Biomed Engn, St Louis, MO 63110 USA

[3] Univ Southern Mississippi, Sch Math & Nat Sci, Hattiesburg, MS 39406 USA

来源：

APPLIED MATHEMATICS LETTERS | 2019年 / 98卷

基金：

中国国家自然科学基金;

关键词：

Boundary optimal control problems; Radial basis functions; Collocation method; Method of fundamental solution;

D O I：

10.1016/j.aml.2019.06.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, two meshless schemes are proposed for solving Dirichlet boundary optimal control problems governed by elliptic equations. The first scheme uses radial basis function collocation method (RBF-CM) for both state equation and adjoint state equation, while the second scheme employs the method of fundamental solution (MFS) for the state equation when it has a zero source term, and RBF-CM for the adjoint state equation. Numerical examples are provided to validate the efficiency of the proposed schemes. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：438 / 445

页数：8

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