Intuitive Formulation of Discontinuous Galerkin Surface Integral Equations for Electromagnetic Scattering Problems

An intuitive formulation of discontinuous Galerkin surface integral equation (DG-SIE) method is proposed in this paper, which is established by performing singularity extraction and singling out the infinitely large term in the entries of the impedance matrices associated with the SIEs, which are popular in solving electromagnetic scattering problems. Nonoverlapping trial and test functions defined on triangles are employed without requirements of the surface current (normal) continuity across their internal boundary contours. The proposed SIE-DG formulation is very flexible and is validated by examples of perfect electrically conducting targets in both conformal and nonconformal meshes.

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