Yl. Zang et al., A HIGHER-ORDER BOUNDARY-ELEMENT METHOD FOR 3-DIMENSIONAL POTENTIAL PROBLEMS, International journal for numerical methods in fluids, 21(4), 1995, pp. 311-321
A method of eliminating the singularities involved in boundary element
methods for three-dimensional potential problems is presented and the
non-singular expressions of integrals on an element on which the sing
ular point is situated are given for linear and quadratic interpolatio
n functions. Numerical examples are compared with analytical solutions
to show that the higher-order interpolations have better precision.