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An Effective Method In Bem For Potential Problems Of Thin Bodies, Yao-Ming Zhang, Yan Gu
An Effective Method In Bem For Potential Problems Of Thin Bodies, Yao-Ming Zhang, Yan Gu
Journal of Marine Science and Technology
The study of the effective methods dealing with problems with thin domains is an important and a difficult issue in boundary element method (BEM). For the special structures of thin bodies, the singular and nearly singular integrals often occur simultaneously in boundary integral equations (BIEs). Therefore, the conventional boundary element method (CBEM) is invalid to obtain accurate results. This paper based on the indirect variable regularized BIEs of plane potential problems, and a nonlinear variable transformation is introduced in order to improve the rapid variations of nearly singular integrals. By doing these, the boundary singular and nearly singular integrals can …