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    ABSTRACT

    Investigation on the Singularities of Some Singular integrals

    Zai You YAN

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.17, No.3, pp. 77-78, 2011, DOI:10.3970/icces.2011.017.077

    Abstract In the boundary element method, 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 principle value if the directional derivative of the weakly singular integral kernel is strongly singular or in the sense of Hadamard finite part integral if the the directional derivative of the weakly singular integral kernel is hypersingular. We will try to discover how the strongly singular and hypersingular integrals are generated and propose a method to avoid the… More >

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