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An accurate boundary value problem solver applied to scattering from cylinders with corners

In English

Författare

Summary, in English

In this paper we consider the classic problem of scattering of waves

from perfectly conducting cylinders with piecewise smooth

boundaries. The scattering problems are formulated as integral

equations and solved using a Nyström scheme, where the corners of

the cylinders are efficiently handled by a method referred to as

Recursively Compressed Inverse Preconditioning (RCIP). This method

has been very successful in treating static problems in non-smooth

domains and the present paper shows that it works equally well for

the Helmholtz equation. In the numerical examples we focus on

scattering of E- and H-waves from a cylinder with one corner. Even

at a size kd=1000, where k is the wavenumber and $d$ the

diameter, the scheme produces at least 13 digits of accuracy in the

electric and magnetic fields everywhere outside the cylinder.

Publiceringsår

2012

Språk

Engelska

Publikation/Tidskrift/Serie

Technical Report LUTEDX/(TEAT-7221)/1-16/(2012)

Dokumenttyp

Rapport

Förlag

[Publisher information missing]

Ämne

  • Mathematics
  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

Report number

TEAT-7221

Forskningsgrupp

  • Harmonic Analysis and Applications
  • Electromagnetic theory
  • Harmonic Analysis and Applications