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:Indirect boundary element method combining extra fundamental solutions for solving exterior acoustic problems with fictitious frequencies
學年
學期
出版(發表)日期2019/05/29
作品名稱Indirect boundary element method combining extra fundamental solutions for solving exterior acoustic problems with fictitious frequencies
作品名稱(其他語言)
著者Jia-Wei Lee; Jeng-Tzong Chen; Chi-Feng Nien
單位
出版者
著錄名稱、卷期、頁數The Journal of the Acoustical Society of America 145(5), p.3116-3132
摘要The authors propose an alternative approach to solve the problem of fictitious frequencies. It is different from the mixed potential approach in the indirect method as well as the Burton and Miller approach in the direct boundary element method (BEM). The authors add some fundamental solutions with unknown strength in the solution representation to complete the solution space. From the viewpoint of the adding source, the present idea is similar to the combined Helmholtz interior integral equation formulation (CHIEF) method. The difference between the added source point and null-field point of CHIEF is their role. The former supplies the deficient basis due to the fictitious frequency while the latter provides the extra constraint equation. It can be alternatively found by adding the right unitary vectors of zero singular value. The bordered matrix is invertible for the fictitious frequency if the extra source points do not locate at the failure position. This is the reason why the property is analogous to the CHIEF method in the direct BEM. Therefore, it can fill in the blank area of why there is no CHIEF method in the indirect method. The authors also analytically derive the locations of possible failure source points by using the degenerate kernel.
關鍵字
語言英文(美國)
ISSN
期刊性質國外
收錄於SCI;
產學合作
通訊作者
審稿制度
國別美國
公開徵稿
出版型式,電子版,紙本
相關連結
SDGs
Google+ 推薦功能,讓全世界都能看到您的推薦!