Extrapolation methods for solving hypersingular integral equation of the first kind
Jin Li
Abstract:The hypersingular integral equation has been studied widely in boundary element methods, especially in natural boundary element methods. The asymptotic expansion of error function of composite rectangle rule for the computation of Hadamard finite-part integrals with the hypersingular kernel 1/ sin 2 (x − s) is obtained. Extrapolation algorithm is constructed. In order to solve the hypersin-gular integral equation, the superconvergence point is taken as the collocation point, then the extrapolation algorithm is… Show more
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