An Algorithm of the Solution of an Optimal Control Problem for Elliptic Equations

被引：0

作者：

Devadze D. ^{[1
]}

Beridze V. ^{[1
]}

机构：

[1] Batumi Shota Rustaveli State University, Batumi

来源：

Journal of Mathematical Sciences | 2015年 / 208卷 / 6期

关键词：

Elliptic Equation; Optimal Control Problem; Dirichlet Problem; Helmholtz Equation; Nonlocal Boundary;

D O I：

10.1007/s10958-015-2472-8

中图分类号：

学科分类号：

摘要：

In this paper, we discuss optimal control problems whose behavior is described by elliptic equations with Bitsadze–Samarski nonlocal boundary conditions. A necessary and sufficient optimality condition is given. The existence and uniqueness of a solution of the conjugate problem are proved. A numerical method of solution of an optimal problem by means of the Mathcad package is presented. © 2015, Springer Science+Business Media New York.

引用

页码：635 / 641

页数：6

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