A projection based multiscale optimization method for eigenvalue problems

被引：0

作者：

Graf, Peter A. ^{[1
]}

Jones, Wesley B. ^{[1
]}

机构：

[1] Natl Renewable Energy Lab, Ctr Comp Sci, Golden, CO 80401 USA

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2007年 / 39卷 / 02期

关键词：

reduced-order modeling; approximation optimization; multiscale optimization; galerkin projection;

D O I：

10.1007/s10898-007-9135-3

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We present a projection based multiscale optimization method for eigenvalue problems. In multiscale optimization, optimization steps using approximations at a coarse scale alternate with corrections by occasional calculations at a finer scale. We study an example in the context of electronic structure optimization. Theoretical analysis and numerical experiments provide estimates of the expected efficiency and guidelines for parameter selection.

引用

页码：235 / 245

页数：11

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