Multigrid optimization methods for linear and bilinear elliptic optimal control problems

被引：0

作者：

Michelle Vallejos

A. Borzì

机构：

[1] Karl-Franzens-Universität Graz,Institut für Mathematik und Wissenschaftliches Rechnen

[2] University of the Philippines,Institute of Mathematics, College of Science

来源：

Computing | 2008年 / 82卷

关键词：

49K20; 65N06; 65N55; elliptic optimal control problems; multigrid methods;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Multigrid optimization schemes that solve elliptic linear and bilinear optimal control problems are discussed. For the solution of these problems, the multigrid for optimization (MGOPT) method and the collective smoothing multigrid (CSMG) method are developed and compared. It is shown that though these two methods are formally similar, they provide different approaches to computational optimization with partial differential equations.

引用

页码：31 / 52

页数：21

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