Automatic Localized Nonconformal Mesh Refinement for Surface Integral Equations

We propose an automatic, solution based, localized meshing refinement for increasing the accuracy of integral-equation solution for multi-scale electromagnetic problems. The procedure starts with a local measure of the boundary condition error, via testing on zero-order basis functions defined on the finest level mesh. Then, the adaptive mesh refinement (h-refinement) is obtained by nonconformal submeshing with Discontinuous Galerkin formulation in order to achieve the desired accuracy. Numerical experiments show the effectiveness of the approach in the cases of cubic geometry and realistic multi-scale structures.