Iterative solution of a hybrid method for Maxwell's equations in the frequency domain

Abstract

SUMMARYA hybrid method for solution of Maxwell's equations of electromagnetics in the frequency domain is developed as a combination between the method of moments and the approximation in physical optics. The equations are discretized by a Galerkin method and solved by an iterative block Gauss-Seidel method. The convergence of the iterations is studied theoretically and in numerical experiments. The accuracy of the hybrid method is compared to the method of moments for a cylinder with an incident ÿeld for di erent wavenumbers.

Simulation and Visualization of Safing Sensor

“…Ammari and Nédélec [9] have given a simple new variation proof of the convergence of the electric and magnetic field solutions of the scattering problem for the Maxwell equations as the frequency goes to zero. Edlund, Lötsted, Strand [10] has developed a hybrid method for the solution of Maxwell's equations in the frequency domain. The equations are discretized by a Galerkin method and solved by an iterative block Gauss-Seidel method.…”

A hybrid FEBI-MoM-PO formulation for the analysis of radiation and scattering problems

“…For unbounded exterior problems such as an antenna radiating in free space, hybrid finite element boundary integral (FEBI) formulation [2][3] has been widely accepted as an accurate hybrid extension to the traditional FEM method. To further extend FEM's capability to the solution of EM radiation and scattering problems involving disjoint obstacles such as reflector antenna systems, antennas mounted on large platforms, and antennas in the presence of radome structures, several methods such as method of moments (MoM), high frequency techniques (UTD and physical optics (PO)) [4] [5] have been hybridized with FEM.…”