Symbolic generation of finite elements for skin-effect integral equations

Skin effect at high frequencies and electrostatics of good conductors can be formulated as an integal equation, whose solution by finite elements requires evaluation of integrals with Green´s function kernels. The singular element integrals are computed analytically by a program in the Maple language, after recasting the integrals by coordinate transformations that render all singularities one-dimensional. Tables of singular integrals are given for elements up to order 4