A serendipity triangular patch for evaluating weakly singular boundary integrals

2016 ◽  
Vol 69 ◽  
pp. 86-92 ◽  
Author(s):  
Yudong Zhong ◽  
Jianming Zhang ◽  
Yunqiao Dong ◽  
Yuan Li ◽  
Weicheng Lin ◽  
...  
Keyword(s):  
Singular Boundary ◽  
Boundary Integrals ◽  
Weakly Singular ◽  
Triangular Patch

A New Approach for Numerical Evaluation of High Order 3D Singular Boundary Integrals

2010 ◽  
Author(s):  
Xiao-Wei Gao ◽  
Jane W. Z. Lu ◽  
Andrew Y. T. Leung ◽  
Vai Pan Iu ◽  
Kai Meng Mok
Keyword(s):  
Numerical Evaluation ◽  
High Order ◽  
Singular Boundary ◽  
Boundary Integrals ◽  
New Approach

Virtual Boundary Integral Method for Anisotropic Potential Problems

2012 ◽  
Vol 155-156 ◽  
pp. 370-374
Author(s):  
Xin Rong Jiang ◽  
Xin Fu
Keyword(s):  
Integral Method ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Singular Boundary ◽  
Boundary Integrals ◽  
Science And Engineering ◽  
Numerical Examples ◽  
Potential Problems ◽  
Virtual Boundary ◽  
Virtual Boundary Element

Heat conduction in anisotropic materials has important applications in science and engineering. In this paper the virtual boundary element method (VBEM) is applied to solve these problems. Due to the fact of a virtual boundary outside the real boundary, the VBEM does not need to treat the singular boundary integrals, and thus, is more accurate and convenient than the traditional one. Numerical examples are presented, to demonstrate the efficiency and accuracy of this method.

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