Numerical quadrature over triangles with weak singularities

The present paper studies in a unified way the numerical computation of integrals over triangles with weak singularities arising from the ln r and 1/r kernels present in the boundary element method by mapping the triangle into a square and thus obtaining a regularizing effect. Three types of co‐ordinate transformations are evaluated and their performance with respect to numerical quadrature is assessed. Copyright © 1999 John Wiley & Sons, Ltd.