C. F. Loeffler1, R. G. Peixoto2
CMES-Computer Modeling in Engineering & Sciences, Vol.93, No.4, pp. 253-276, 2013, DOI:10.3970/cmes.2013.093.253
Abstract Here is presented a formal deduction for the Dual Reciprocity hypersingular boundary integral equation for application to two dimensional potential problems. The theoretical and numerical derivations are presented in detail, and some simple test problems are included to verify the accuracy of the proposed formulation. Due to its simplicity, Poisson’s Equation is used as a basis for the mathematical formulations and operational procedures related to the body force term, but the methodology can easily be extended to other more elaborate classes of potential problems. Poles are inserted internally to improve the interpolation within the domain, resulting in a hybrid singular… More >
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