Inverse Identification of Boundary Conditions for 3D Potential Problems by Using the Boundary Element Method

摘要：

Three-dimensional Cauchy inverse problems for the Laplace equation are considered. Both potential and flux conditions on a part of the boundary are solved based on the over-prescribed boundary data on the rest of the boundary. The boundary element method is applied to implement the numerical inverse analysis. The truncated singular value decomposition technique is employed to deal with the system equation. The number of the truncated singular value is obtained by the undulating-curve method. Numerical examples demonstrate its accuracy. The TSVD method has been found to produce reasonably accurate results for the temperature and less accurate numerical results for the flux.

关键词： BEM inverse problems Cauchy problem potential truncated singular value decomposition

作者: Huanlin Zhou Jun Zhang Zhongrong Niu

作者单位: Department of Engineering Mechanics,Hefei University of Technology,Hefei,230009 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: 1-6

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）