Abstract
In the conventional boundary element method, all the boundaries including those of inclusions must be discretized. Therefore, the size of the coefficient matrix of the resulting system of algebraic equations becomes quite large for a potential field with many small inclusions. In this paper, the potential distribution in a circular inclusion is approximated with a simple Fourier series in the angular direction and a second-order polynomial in the radial direction. In the present formulation, discretization of the boundaries of the inclusions is not needed, hence the total number of degrees of freedom is quite reduced in comparison with the conventional method that actually discretizes the inclusion boundary. The effectiveness of the present formulation is illustrated in several numerical examples.
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