Solving Poisson equation by singular boundary method

摘要：

This paper extends the singular boundary method (SBM) to solve the Poisson equation. The singular boundary method (SBM) is a novel meshfree method, which can solve the homogeneous solution of Poisson problems with only boundary discretization. This method distributes the source points on the real boundary by using the numerical technique to eliminate the singularity of the diagonal of interpolation matrix. To evaluate the particular solution, this study employs the dual reciprocity method (DRM) to approximate the right hand side by multi-quadrics (MQ) basis function. The efficiency and accuracy of the proposed method are numerically demonstrated through solving the Poisson problems in different physical domains.

作者: X.Wei W.Chen

作者单位: Center for Numerical Simulation Software in Engineering and Sciences,Department of Engineering Mechanics,College of Civil Engineering,Hohai University No.1 XiKang Road,Nanjing,Jiangsu 210098,China

会议类型: 国际会议

会议名称: Third Asia-Pacific International Conference on Computational Methods in Engineering(第三届亚太国际工程中计算方法学术会议暨第九届全国工程中边界元、无网格等数值方法学术会议)(ICOME 2009)

会议地点: 南京

会议语种:英文

页码: 1

在线出版日期: 2009-10-18（万方平台首次上网日期，不代表论文的发表时间）