Numerical integration of logarithmic and nearly logarithmic singularity inBEMs

A new semi-analytical integration scheme is proposed for evaluation of loga rithmically singular and/or nearly singular integrals occurring in 2D BEM f ormulations. Extensive numerical experiments are performed to study the acc uracy by the proposed and other schemes of numerical integration. The accur acy of the numerical integration is almost exact even for curvilinear eleme nts and the accuracy of numerical computation is determined by the accuracy of the approximation of the boundary density and geometry. (C) 2001 Elsevi er Science Inc. All rights reserved.