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| A New Scheme for Accurate and Efficient Evaluation of
Singular Integral of Time-Domain Integral Equation |
| Zhao Yan-wen; Xu Jian-hua; Nie Zai-ping; Wu Sheng-bo |
| School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China |
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Abstract In this article, the transformations of the parametric coordinates (i.e. area coordinates) and general Duffycoordinates are employed to transform the singular integrals of the Time-Domain Electric Field Integral Equation (TDEFIE) into non-singular integrals, which can be accurately and efficiently evaluated by dividing the transformed domain of integration into sub-domains. Simulation results demonstrate that this approach seems to drastically improve stability and accuracy of the numerical results without resort to any averaging processes. The proposed method is suitable to any causal temporal basis functions and can be extended to curvilinear patch and high-order spatial basis functions in a straightforward way.
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Received: 26 May 2004
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2005, Vol. 27 
