NEW MAGNETIC FIELD INTEGRAL EQUATION FOR ANTENNA SYSTEM

A Multiresolution Approach to the Electric Field Integral Equation in Antenna Problems

Abstract. This paper deals with a multiresolution approach to the finite-element solution of the Electric Field Integral Equation (EFIE) formulation of the boundary value problem for Maxwell equations. After defining a multiresolution set of discretized spaces, each of them is first separated into solenoidal and non-solenoidal complementary spaces. The possibility of obtaining these two spaces ...

Performance of the Generalized Minimum Residual (GMRES) Iterative Solution for the Magnetic Field Integral Equation

[1] The paper discusses a generalized minimum residual (GMRES) iterative solution of the magnetic field integral equation (MFIE) applied to frequency domain scattering problems at medium and high frequencies. First, the performance of the original MFIE is studied, for the perfectly electrically conducting (PEC) sphere. It is shown that the residual error and the solution error do not correlate ...

Magnetic Field Integral Equation for Electromagnetic Scattering by Conducting Bodies of Revolution in Layered Media

The reduced basis method for the electric field integral equation

We introduce the Reduced Basis Method (RBM) as an efficient tool for parametrized scattering problems in computational electromagnetics for problems where field solutions are computed using a standard Boundary Element Method (BEM) for the parametrized Electric Field Integral Equation (EFIE). This combination enables an algorithmic cooperation which results in a two step procedure. The first ste...

Incomplete Lu Preconditioning for the Electric-field Integral Equation

Linear systems resulting from the electric-field integral equation (EFIE) become ill-conditioned, particularly for large-scale problems. Hence, effective preconditioners should be used to obtain the iterative solution with the multilevel fast multipole algorithm in a reasonable time. In this paper, we show that a threshold-based incomplete LU (ILU) preconditioner, i.e., ILUT, can be used safely...