教師資料查詢 | 類別: 期刊論文 | 教師: 李家瑋JIA-WEI LEE (瀏覽個人網頁)

標題:On the linkage between influence matrices in the BIEM and BEM to explain the mechanism of degenerate scale for a circular domain
學年109
學期2
出版(發表)日期2021/03/18
作品名稱On the linkage between influence matrices in the BIEM and BEM to explain the mechanism of degenerate scale for a circular domain
作品名稱(其他語言)
著者J. T. Chen; J. W. Lee; Y. L. Huang; C. H. Shao; C. H. Lu
單位
出版者
著錄名稱、卷期、頁數Journal of Mechanics 37, pp.339-345
摘要In this paper, we proposed two ways to understand the rank deficiency in the continuous system (boundary integral equation method, BIEM) and discrete system (boundary element method, BEM) for a circular case. The infinite-dimensional degree of freedom for the continuous system can be reduced to finite-dimensional space using the generalized Fourier coordinates. The property of the second-order tensor for the influence matrix under different observers is also examined. On the other hand, the discrete system in the BEM can be analytically studied, thanks to the spectral property of circulant matrix. We adopt the circulant matrix of odd dimension, (2N + 1) by (2N + 1), instead of the previous even one of 2N by 2N to connect the continuous system by using the Fourier bases. Finally, the linkage of influence matrix in the continuous system (BIE) and discrete system (BEM) is constructed. The equivalence of the influence matrix derived by using the generalized coordinates and the circulant matrix are proved by using the eigen systems (eigenvalue and eigenvector). The mechanism of degenerate scale for a circular domain can be analytically explained in the discrete system.
關鍵字degenerate scale;BEM;degenerate kernel;circulant matrix
語言英文
ISSN1811-8216
期刊性質國外
收錄於SCI;
產學合作
通訊作者J. T. Chen
審稿制度
國別英國
公開徵稿
出版型式,電子版
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