Comparison of two techniques for implementing the proper orthogonal decomposition method in damage detection problems
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TL;DR: This paper points out some of the problems in the traditional implementation of the reduced-order POD/Galerkin method when used in conjunction with eddy current damage detection and argues that in certain circumstances, the P OD/interpolation method may be a better choice.
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About: This article is published in Mathematical and Computer Modelling. The article was published on 01 Sep 2004. and is currently open access. The article focuses on the topics: Interpolation & Galerkin method.
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Citations
The reduced model multiscale method (R3M) for the non-linear homogenization of hyperelastic media at finite strains
Julien Yvonnet,Qi-Chang He +1 more
TL;DR: A new multi-scale method for the homogenization analysis of hyperelastic solids undergoing finite strains, coined as reduced model multiscale method (R3M), allows reducing significantly the computation times, as no large matrix needs to be inverted and as the convergence of both macro and micro problems is enhanced.
317
Error estimation in POD-based dynamic reduced-order thermal modeling of data centers
Rajat Ghosh,Yogendra Joshi +1 more
TL;DR: In this paper, a proper orthogonal decomposition (POD)-based reduced-order modeling framework that predicts transient air temperatures in an air-cooled data center is developed.
40
On POD reduced models of tubular reactor with periodic regimes
TL;DR: The distributed model of a tubular reactor with recycle is reduced by approximating it first with a Continuous Stirred Tank Reactor (CSTR) cascade and proper orthogonal decomposition (POD) with Galerkin projection is introduced to study oscillatory regimes.
37
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Non intrusive method for parametric model order reduction using a bi-calibrated interpolation on the Grassmann manifold
Mourad Oulghelou,Cyrille Allery +1 more
TL;DR: In this article, the authors propose a nonintrusive reduced order modeling method which is independent of the governing equations, which is called Bi-CITSGM (Bi-Calibrated ITSGM).
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Optimal model reduction by empirical spectral methods via sampling of chaotic orbits
TL;DR: In this paper, an orthogonal decomposition (POD) coupled with the Galerkin method is applied to the one-dimensional model of a tubular reactor with external heat recycle, which exhibits periodic and chaotic solutions.
15
References
The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows
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Application of the Karhunen-Loeve procedure for the characterization of human faces
Michael Kirby,Lawrence Sirovich +1 more
TL;DR: The use of natural symmetries (mirror images) in a well-defined family of patterns (human faces) is discussed within the framework of the Karhunen-Loeve expansion, which results in an extension of the data and imposes even and odd symmetry on the eigenfunctions of the covariance matrix.
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Field and wave electromagnetics
David K. Cheng
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TL;DR: In this article, the authors consider boundary value problems in Cylindrical Coordinates and present a solution to the problem of boundary addition and subtraction in Cartesian Coordinates.
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