Preconditioners for reduced saddle point systems arising in elliptic PDE-constrained optimization problems

被引：4

作者：

Zeng, Yuping ^{[1
]}

Wang, Siqing ^{[1
]}

Xu, Hongru ^{[1
]}

Xie, Shuilian ^{[1
]}

机构：

[1] Jiaying Univ, Sch Math, Meizhou 514015, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

PDE-constrained optimization; saddle point problem; preconditioning; eigenvalue estimate; PRIMAL-DUAL STRATEGY; TRIANGULAR PRECONDITIONERS;

D O I：

10.1186/s13660-015-0879-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose some preconditioning techniques for reduced saddle point systems arising from linear elliptic distributed optimal control problems. The eigenvalues of preconditioned matrices are analyzed. Moreover, the bounds of these eigenvalues with respect to the mesh size h are also obtained. Some numerical tests are presented to validate the theoretical analysis.

引用

页数：14

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