New Formulation and Iterative Solution for Low-Frequency Volume Integral Equation

Improved Spectral Iteration Technique for the Scattering by Thin Metal Plates

“…with the spectral domain functions G 1 and G defined by Equations (11) and (12). By inserting expression (A6) into relation (A3), Equation (9) is finally derived.…”

“…A large interest has then been addressed to iterative methods [10][11][12][13], mostly based on the Conjugate Gradient algorithm [14][15][16], which guarantees monotonic convergence for arbitrary structures [17,18]. However, numerical difficulties are also encountered in this scheme, as it suffers from machine round-off errors causing loss of orthogonality and linear independence [19], so the global error can decrease very slowly, resulting in a large number of iterations.…”

A SYNTHETIC DESIGN OF ELIMINATING CROSSTALK WITHIN MTLs

“…To obtain these parameters, we consider the MoM which has been used widely to deal with numerical solutions of problems in the EM fields [11][12][13]. In this paper, we consider a parallel six-conductor structure of microstrip transmission lines.…”

Solving the volume integral equations of electromagnetic scattering

“…Various features were added to this formulation, such as fast solvers enabling large-scale analysis (cf. [10]), coupling with surface IE's [11], low-order solenoidal basis functions to model flux densities more realistically [12,13], and a special version for low-frequency analysis [14] -but the basic projection formulation has essentially remained unchanged. The idea of solving the MF-VIE for dielectric scatterers instead (analogous to solving either the EF-or MF surface IE in the case of conducting scatterers [2]) has not received much attention, though it has been proposed in [15,16].…”