Relative Impact of Singular Edge and Corner Basis Functions on the Capacitance of Parallel-plate Capacitors

Singular edge and corner basis functions are incorporated into an integral equation numerical formulation for the charge density on parallel-plate capacitors. The underlying representation for charge density is either piecewise constant, linear, or quadratic and provided by conventional representation. The singular edge basis functions are shown to play a significant role in accelerating the convergence of the numerical solutions. When used in conjunction with linear or quadratic underlying representations, the singular corner basis functions have a relatively minor effect on the numerical results.