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Singular and Regular Implementations of the Hybrid Boundary Node Method

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【Author】 ZHANG Jianming 1, Masa Tanaka2, YAO Zhenhan , 1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Automotive Engineering, Hunan University, Changsha 410082, China; 2. Faculty of Engineering, Shinshu University, Nagano 380-8553, Japan; 3. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China

【机构】 State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body College of Mechanical and Automotive Engineering； Hunan University； Faculty of Engineering； Shinshu University； Department of Engineering Mechanics； Tsinghua University； Changsha 410082； China； Nagano 380-8553； Japan； Beijing 100084；

【摘要】 The hybrid boundary node method (HdBNM) combines a modified function with the moving least squares approximation to form a boundary-only truly meshless method. This paper describes two implementations of the HdBNM, the singular hybrid boundary node method (ShBNM) and the regular hybrid boundary node method (RhBNM). The ShBNM and RhBNM were compared with each other, and the parameters that influence their performance were studied in detail. The convergence rates and their applicability to thin structures were also investigated. The ShBNM and RhBNM are found to be very easy to implement and to efficiently obtain numerical solutions to computational mechanics problems.更多还原

【Abstract】 The hybrid boundary node method (HdBNM) combines a modified function with the moving least squares approximation to form a boundary-only truly meshless method. This paper describes two implementations of the HdBNM, the singular hybrid boundary node method (ShBNM) and the regular hybrid boundary node method (RhBNM). The ShBNM and RhBNM were compared with each other, and the parameters that influence their performance were studied in detail. The convergence rates and their applicability to thin structures were also investigated. The ShBNM and RhBNM are found to be very easy to implement and to efficiently obtain numerical solutions to computational mechanics problems.更多还原

【关键词】 meshless methods； hybrid boundary node method； moving least squares approximation；
【Key words】 meshless methods； hybrid boundary node method； moving least squares approximation；

【基金】 the National Key Basic Research and Development (973) Program of China (No. 2004CB719402);the Program for New Century Excellent Talents in University (NCET-04-0766)

【文献出处】 Tsinghua Science and Technology ,清华大学学报(自然科学版)(英文版) , 编辑部邮箱 ,2007年05期

【分类号】TB115
【被引频次】2
【下载频次】32

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