Domain decomposition for the control of systems governed by evolution equations

被引：8

作者：

Benamou, JD

机构：

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1997年 / 324卷 / 09期

关键词：

D O I：

10.1016/S0764-4442(97)87887-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a non overlapping iterative domain decomposition method with ''coupled'' Robin transmission conditions. We prove its convergence on an optimal control problem for the wave equation. The linear part of the ''feed-back'' law associated to the local optimal control problems set on subdomains is independent of the the iterative process. The method can be applied, at least formally, to the optimal control of systems governed by evolution equations.

引用

页码：1065 / 1070

页数：6