Elementary analytical integrals required in subtraction of singularity method for evaluation of weakly singular boundary integrals

This paper presents closed form analytical formulae for the elementary integrals required in the numerical evaluation of weakly singular boundary integrals involving logarithmic singularity using the subtraction of singularity method. Results are limited to curved quadratic elements in view of their practical usefulness in modeling complex boundaries. Continuous as well as discontinuous elements have been considered. Sample numerical results obtained using these formulae together with a hybrid subtraction of singularity–nonlinear transformation method have been included to demonstrate the usefulness of these formulae.