The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON COMPUTERS
Transactions ID Number: 89-691
Full Name: Bin Zheng
Position: Educator
Age: ON
Sex: Female
Address: School of Science,Shandong University of Technology,Zhangzhou Road 12#,Zibo,Shandong,China.255049
Country: CHINA
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E-mail address: zhengbin2601@126.com
Other E-mails: fqhua@sina.com
Title of the Paper: The Evaluation Of Nearly Singular Integrals In The Direct Regularized Boundary Element Method
Authors as they appear in the Paper: Yaoming Zhang, Yan Gu, Bin Zheng
Email addresses of all the authors: zhengbin2601@126.com
Number of paper pages: 10
Abstract: The numerical analysis of boundary layer effect is one of the major concerned problems in boundary element method (BEM). The accuracy of this problem depends on the precision of the evaluation of the nearly singular integrals. In the boundary element analysis with direct formulation, the hyper-singular integral will arise from the potential derivative boundary integral equations (BIEs). Thus the nearly strong singular and hyper-singular integrals need to be calculated when the interior points are very close to the boundary. For nearly hyper-singular integrals, it is thought, generally, more difficult to calculate. In this paper, a general nonlinear transformation is adopted and applied to calculating the potential and its derivative at the interior points very close to the boundary. Numerical examples demonstrate that the present algorithm is efficient and can overcome the boundary layer effect successfully even when the interior points are very close to the bounda!
ry.
Keywords: BEM; potential problems; nearly singular integrals; boundary layer effect; transformation; Numerical method
EXTENSION of the file: .pdf
Special (Invited) Session: A General Nonlinear Transformation For The evaluation of nearly singular integrals
Organizer of the Session: 633-349
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