Jeng-Tzong Chen1,2, S. C. Shieh1, Y. T. Lee1
The International Conference on Computational & Experimental Engineering and Sciences, Vol.11, No.4, pp. 95-96, 2009, DOI:10.3970/icces.2009.011.095
Abstract Green's functions of Laplace problems with circular boundaries are solved by using three approaches, analytical, semi-analytical and numerical solutions. For the analytical solution, we derive the Green's function by using the bipolar coordinates. Three kinds of semi-analytical solutions using (a). image method, (b). the null field BIE using the Green's third identity, and (c). the null field BIE in conjunction with superposition technique using the addition theorem are considered. A numerical method using the image concept is also employed to study the optimal location of MFS. It is interesting to find that the two frozen images appear on the two… More >
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