TY - JOUR
T1 - An Unpreconditioned Boundary-Integral for Iterative Solution of Scattering Problems with Non-Constant Leontovitch Impedance Boundary Conditions
AU - D. Levadoux, F. Millot & S. Pernet
JO - Communications in Computational Physics
VL - 5
SP - 1431
EP - 1460
PY - 2014
DA - 2014/05
SN - 15
DO - http://doi.org/10.4208/cicp.250313.281013a
UR - https://global-sci.org/intro/article_detail/cicp/7144.html
KW - 
AB - <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>