Accurate Evalution of Weakly Singular Integral in Combined Field Integral Equation on Clifford Algebra with Numerical Integration

2014 IEEE International Conference on Signal Processing, Communications and Computing (ICSPCC 2014)——In this paper,the formulation of multi-dimensional Cauchy integral equation,which is in an integral form of Maxwell's equations,is presented on Clifford algebra to increase the accuracy of numerical solutions.The advantage of this formulation is the kernel integral concerning without the strongly singular function.To obtain the solution of the Cauchy integral equation,the boundary element technique is exploited to numerically solve with the quardrilateral function via GaussQuadrature technique.The accuracy of the obtained fields is investigated by comparing with those from the known analytical method.


关键词: 弱奇异积分 组合场积分方程 克利福德代数 数值积分 The 2014 IEEE International Conference on Signal Processing, Communications and Computing (ICS

主讲人:Prof. Ajalawit Chantaveerod 机构:School of Engineering and Resources, Walailak University

时长:0:13:09 年代:2014年