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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24279

Title: Computer assisted proof of spurious eigensolution for annular and eccentric membranes
Authors: I-Lin Chen;Jeng-Tzong Chen;Wei-Ming Lee;Shang-Kai Kao
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: spurious eigenvalue;degenerate kernel;doubly connected problem;null-field integral equation
Date: 2009-09-01
Issue Date: 2011-10-20T08:11:03Z
Publisher: Journal of Marine Science and Technology
Abstract: abstract:Spurious eigensolutions in the boundary integral equation (BIE) or boundary e1ement method (BEM) for doub1yconnected domain problems, the eccentric and annular membranes, are studied analytically and numerically in this paper. For the mathematica1 ana1ysis, we employ the null-field integral equation, the degenerate kernels and the Fourier series to prove the existence of spurious eigensolutions in the continuous system. Examples of eccentric case, annular membrane and general shape are solved by using the null-field equation approach and BEM, respectively. Based on the numerical experiment, computer-assisted proof for the existence of spurious eigenvalues in companion with the trivial outer boundary data is given. The spurious eigenvalue is found to be the true eigenvalue of a circular membrane with the inner radius. The SVD structure for the four influence matrices is examined Also, the trivial outer boundary densities are found in case of spurious eigenva1ues and are shown in the bar chart.
Relation: 17(3), pp.203-215
URI: http://ntour.ntou.edu.tw/handle/987654321/24279
Appears in Collections:[河海工程學系] 期刊論文

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