Fast Converging Graded Mesh for Bodies of Revolution with Tip Singularities
Keywords:
Tip Singularity, Graded Mesh, Optimal Convergence, Integral Equations, Method of Moments, Radar Cross Section.Abstract
In this paper, we study the plane wave scattering
from perfectly electric conducting (PEC) bodies of revolution
(BOR) with tip singularities. It is known that solutions to
surface integral equations such as magnetic, electric, and
combined field integral equations (MFIE, EFIE, and CFIE,
respectively) are singular near the tips. Consequently, the
convergence of method of moments (MoM) based on those
surface integral equations is not optimal or guaranteed. By
using appropriate graded meshes, one can retain the optimal
convergence rate in MoM.
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