Analytical integrations of hypersingular kernel in 3D BEM problems Original Research Article

For 3D symmetric Galerkin boundary element method, some results on the analytical integration of the hypersingular kernel in potential problems are presented here. Adopting linear shape functions, inner integrations are performed both for the finite part of Hadamard and for Lebesgue integrals, working in a local coordinate system; a study on the singularity of the external integral is finally conducted.