@Article{CiCP-15-5,
author = {},
title = {An Unpreconditioned Boundary-Integral for Iterative Solution of Scattering Problems with Non-Constant Leontovitch Impedance Boundary Conditions},
journal = {Communications in Computational Physics},
year = {2014},
volume = {15},
number = {5},
pages = {1431--1460},
abstract = {<p style="text-align: justify;">This paper concerns the electromagnetic scattering by arbitrary shaped three
dimensional imperfectly conducting objects modeled with non-constant Leontovitch
impedance boundary condition. It has two objectives. Firstly, the intrinsically well-conditioned integral equation (noted GCSIE) proposed in [30] is described focusing
on its discretization. Secondly, we highlight the potential of this method by comparison with two other methods, the first being a two currents formulation in which
the impedance condition is implicitly imposed and whose the convergence is quasi-optimal for Lipschitz polyhedron, the second being a CFIE-like formulation [14]. In
particular, we prove that the new approach is less costly in term of CPU time and
gives a more accurate solution than that obtained from the CFIE formulation. Finally,
as expected, it is demonstrated that no preconditioner is needed for this formulation.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.250313.281013a},
url = {https://global-sci.com/article/80541/an-unpreconditioned-boundary-integral-for-iterative-solution-of-scattering-problems-with-non-constant-leontovitch-impedance-boundary-conditions}
}