POD-galerkin approximations in PDE-constrained optimization

被引：0

作者：

Sachs E.W. ^{[1
]}

Volkwein S. ^{[2
]}

机构：

[1] FB 4 - Department of Mathematics, University of Trier

[2] Department of Mathematics and Statistics, University of Constance

来源：

GAMM Mitteilungen | 2010年 / 33卷 / 02期

关键词：

Proper orthogonal decomposition; Reduced-order modelling;

D O I：

10.1002/gamm.201010015

中图分类号：

学科分类号：

摘要：

Proper orthogonal decomposition (POD) is one of the most popular model reduction techniques for nonlinear partial differential equations. It is based on a Galerkin-type approximation, where the POD basis functions contain information from a solution of the dynamical system at pre-specified time instances, so-called snapshots. POD models have been applied very successfully in the area of optimization with PDEs or feedback control laws. Neverthe-less, various issues are still unclear and are currently under research, e.g. timely updates of the snapshot information and error analyses for the POD approximations. © WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：194 / 208

页数：14

共 48 条

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