Zai You Yan1, Qiang Zhang1
CMES-Computer Modeling in Engineering & Sciences, Vol.75, No.3&4, pp. 205-222, 2011, DOI:10.3970/cmes.2011.075.205
Abstract In a boundary element method, the treatment of all the possible singular integrals is very important for the correctness and accuracy of the solutions. Generally, the directional derivative of a weakly singular integral is computed by an integral in the sense of Cauchy principal value if the directional derivative of the weakly singular integral kernel is strongly singular or in the sense of Hadamard finite part integral if it is hypersingular. In this paper, we try to discover how the strongly singular and hypersingular integrals are generated and propose an idea to avoid the appearance of such kind of strongly… More >
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