Numerical integration of logarithmic and nearly logarithmic singularity in BEMs

摘要

A new semi-analytical integration scheme is proposed for evaluation of logarithmically singular and/or nearly singular integrals occurring in 2D BEM formulations. Extensive numerical experiments are performed to study the accuracy by the proposed an other schemes of numerical integration. The accuracy of the numerical integration is almost exact even for curvilinear elements an the accuracy of numerical computation is determined by the accuracy of the approximation of the boundary density and geometry.