Singular basis functions and curvilinear triangles in the solution of the electric field integral equation

Basis functions are formulated that account for singularities in the charge density near an edge on a conducting body. The formulation is general and the basis functions are valid for planar as well curvilinear geometries. In principle, singularities of any order can be treated, but best results are obtained for so-called "knife edge" singularities. Results are compared with exact solutions or measurements where available for some simple problems.