Complexity reduction in solution of scattering problems on well-conducting 3-D object with H-matrices accelerated surface-volume-surface electric field integral equation

The Surface-Volume-Surface Electric Field Integral Equation (SVS-EFIE) is applicable to the solution of the scattering problems on both lossless dielectric and highly conducting metal objects. When the solution of scattering and radiation problems on metal objects is sought the rapidly attenuating field behaviour due to skin-effect can be exploited to reduce the complexity of the Method of Moments (MoM) discretized SVS-EFIE. Among these strategies is the removal of the volume mesh corresponding to the part of the scatterer in which field is expected to attenuate below certain threshold and truncation of the range in MoM interactions due to their attenuation governed by the metal medium Green's function. In this work, the qualitative description of these techniques is provided as well as numerical results demonstrating their validity.
H-Matrices, Scattering Problem, Radiation Problem, Hierarchical Matrices, Hierarchical Matrix, H-Matrix, Complexity, SVS-EFIE, 3D Object, SVD, ACA, Surface-Volume-Surface, Complexity Reduction, Reduction Strategies, Reduction Techniques, SVS