ACA Improvement by Surface Segmentation

On the Adaptive Cross Approximation for the Magnetic Field Integral Equation

“…For the electrostatic counterpart to the MFIE, the doublelayer operator this problem of block-structured interaction matrices also arises, and, as mentioned in the introduction, many remedies have been discussed in literature [15], [17], [25], [27], [28]. Unlike other remedies, [15], which is based on the minimization of the fill distance, is purely algebraic, it does not require a preanalysis of the mesh, and, due to its nature, can be expected to be resilient to problems stemming from non-uniform meshes (though a detailed numerical study was not provided in [15]).…”

“…It is not clear, though, how the algorithm performs in the case of non-uniform meshes. Other alternatives, in terms of implementation much more cumbersome, include algorithms that rely on some form of geometrical analysis of the mesh to detect, and potentially prevent [27], problematic interactions in advance [28].…”