Accurate Evaluation of Weakly Singular Integral in Combined Field Integral Equation on Clifford Algebra with Numerical Integration
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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 umerical 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 quadrilateral function via GaussQuadrature echnique.The accuracy of the obtained fields is investigated by comparing with those from the known analytical method.
Proceedings, IEEE International Conference on Signal Processing, Communications and Computing (ICSPCC 2014)
Electrical and Electronic Engineering not elsewhere classified