An error control high order Galerking method for integral equations in electromagnetism

The method of boundary integral equation is commonly used in computational electromagnetics (CEM). Both Galerkin and Nyström are two possible schemes to discretize the resulting boundary integral equation. In both cases one can use low order basis functions or high order basis functions. In this paper we show a simple way of estimating the error given the solution obtained. The error is estimated by using a spectral analysis of the induced sources on the surface. This method can be used in case of highly adaptive discretization of the geometry.