Abstract:
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The traditional discretizations of the electric-field
integral equation (EFIE) impose the continuity of the normal
component current across the edges in the meshing. These edgeoriented
schemes become awkward in the analysis of composite
objects or of closed conductors meshed with nonconformal
meshes. In this context, the nonconforming expansion of the
current with facet-oriented schemes, like the monopolar-RWG
set, with no imposed interelement continuity, leads to EFIEimplementations
with enhanced versatility. However, the
traditional Galerkin method-of-moment implementation gives
rise to hypersingular Kernel contributions, which cannot be
evaluated numerically. Recently, we have proposed a
nonconforming monopolar-RWG discretization of the EFIE
where the testing is carried out over volumetric elements
attached to the surface triangulation inside the object under
analysis. In this paper, we review the so-called volumetric
monopolar-RWG discretization of the EFIE with testing over
tetrahedral or wedge elements. These schemes show improved
accuracy, when compared with the RWG-discretization, for a
particular range of heights of the testing elements. As we show in
this paper, this range becomes wider for the wedge testing choice
than with the tetrahedral choice. |