A Projection Based Multiscale Optimization Method for Eigenvalue Problems

Peter A. Graf; Wesley B. Jones

doi:10.1007/s10898-007-9135-3

A Projection Based Multiscale Optimization Method for Eigenvalue Problems

Computational Science

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	American English
Pages (from-to)	235-245
Number of pages	11
Journal	Journal of Global Optimization
Volume	39
Issue number	2
DOIs	https://doi.org/10.1007/s10898-007-9135-3 https://doi.org/10.1007/s10898-007-9135-3
State	Published - 2007

NLR Publication Number

NREL/JA-530-39289

Keywords

Approximation optimization
Galerkin projection
Multiscale optimization
Reduced-order modeling

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title = "A Projection Based Multiscale Optimization Method for Eigenvalue Problems",

abstract = "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.",

keywords = "Approximation optimization, Galerkin projection, Multiscale optimization, Reduced-order modeling",

author = "Graf, \{Peter A.\} and Jones, \{Wesley B.\}",

year = "2007",

doi = "10.1007/s10898-007-9135-3",

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journal = "Journal of Global Optimization",

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AB - 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.

KW - Approximation optimization

KW - Galerkin projection

KW - Multiscale optimization

KW - Reduced-order modeling

UR - https://www.scopus.com/pages/publications/34548474077

U2 - 10.1007/s10898-007-9135-3

DO - 10.1007/s10898-007-9135-3

M3 - Article

AN - SCOPUS:34548474077

SN - 0925-5001

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EP - 245

JO - Journal of Global Optimization

JF - Journal of Global Optimization

IS - 2

ER -

A Projection Based Multiscale Optimization Method for Eigenvalue Problems

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Keywords

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