Modified quadrature method with Sidi transformation for three dimensional axisymmetric potential problems with Dirichlet conditions

作者：Luo, Xin^*; Huang, Jin; Ma, Yan-Ying

来源：Journal of Computational Analysis and Applications, 2015, 19(3): 526-539.

• Laplace equation
• axisymmetric
• modified quadrature method
• convergence
• stability

This paper is the application of the modified quadrature method for the numerical evaluation of boundary integral equations of three dimensional (3D) axisymmetric Laplace equations with Dirichlet conditions on curved polygonal boundaries. The Sidi transformation is used to remove the logarithmic singularities in the integral kernels and then the modified quadrature method is presented to approximate the weakly integrals. Numerical examples show that the error of numerical solution for the boundary integral equation of the 3D Laplace equation can converge with the order O (h(3)) by use of a Sidi transformation, and the optimal condition number for the according discrete system is 0 (h(-1)), where h is the uniform mesh step size.

• 出版日期2015-9
• 单位成都信息工程大学; 电子科技大学