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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24327

Title: On the true and spurious eigensolutions using circulant for real-part dual BEM
Authors: J.T. Chen;S.R. Kuo;Y.C. Cheng
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: real-part BEM;spurious eigensolution;SVD updating thchnique
Date: 2001
Issue Date: 2011-10-20T08:11:24Z
Publisher: Proceedings of IUTAM/IACM/IABEM Symposium On Advanced Mathematical Computational Mechanics Aspects of Boundary E
Abstract: abstract:It has been found recently that the multiple reciprocity method(MRM),the realpart BEM and the imaginary-part BEM result in spurious eigenvalues for eigenproblems. In this paper, a circular domain is considered as a demonstrative example.Based on the dual framework of realpart BEM, the true and spurious eigenvalues can be separated by using the singular value decomposition technique(SVD). To understand why the spurious eigenvalues occur,analytical derivation by discretizing the circular boundary into a discrete system is employed and results in a circulants. By using the SVD updating terms , the true eigensolutions can be extracted by merging the two influence matrices in dual BEM. The spurious eigensolutions can be filtered out by using the SVD updating documents where the other two influence are combined.
Relation: pp.75-85
URI: http://ntour.ntou.edu.tw/handle/987654321/24327
Appears in Collections:[河海工程學系] 期刊論文

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