Application of the Karhunen-Loeve Procedure for the Characterization of Human Faces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
Journal of Optimization Theory and Applications
Journal of Computational Physics
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The viability of using the reduced-order proper orthogonal decomposition (POD) (alsocalled principal component analysis) methods to reduce the total computational time to detect damages using eddy current nondestructive evaluation techniques was demonstrated in a previous paper [1]. In this paper, we concentrate on various alternatives used to form the reduced-order solution to the forward problem, still in the context of eddy current damage detection. In particular, we focus on two different algorithms, a POD/Galerkin technique and a POD/interpolation technique. The POD/Galerkin method is a popular choice in the implementation of the POD method; however, in this paper, we will point 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. We will also compare the POD/Galerkin method to the POD/interpolation method and argue that in certain circumstances, the POD/interpolation method may be a better choice.