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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24284

Title: On the spurious eigenvalues for a concentric sphere in BIEM
Authors: Jeng-Tzong Chen;Shing-Kai Kao;Ying-Te Lee;Yi-Jhou Lin
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: Null-field integral equation;Degenerate kernel;Eigenproblem;Spurious eigenvalue;Singular value decomposition
Date: 2010-03
Issue Date: 2011-10-20T08:11:05Z
Publisher: Applied Acoustics
Abstract: Abstract:In this paper, the null-field integral equation method is employed to study the occurring mechanism of spurious eigenvalues for a concentric sphere. By expanding the fundamental solution into degenerate kernels and expressing the boundary density in terms of spherical harmonics, all boundary integrals can be analytically determined. It is noted that our null-field integral formulation can locate the collocation point on the real boundary thanks to the degenerate kernel. In addition, the spurious eigenvalues are parasitized in the formulations while true eigensolutions are dependent on the boundary condition such as the Dirichlet or Neumann problem. By using the updating term and updating document of singular value decomposition (SVD) technique, true and spurious eigenvalues can be extracted out, respectively. Besides, true and spurious boundary eigenvectors are obtained in the right and left unitary vectors in the SVD structure of the influence matrices. This finding agrees with that of 2D cases.
Relation: 71(3), pp.181-190
URI: http://ntour.ntou.edu.tw/handle/987654321/24284
Appears in Collections:[河海工程學系] 期刊論文

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