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

Helsing, Johan LU and Karlsson, Anders LU (2012) In Technical Report LUTEDX/(TEAT-7221)/1-16/(2012) TEAT-7221.
Abstract
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. ... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7221)/1-16/(2012)
volume
TEAT-7221
pages
16 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
679537de-1666-409e-b8d1-c6c2e9e2046c (old id 3172876)
date added to LUP
2012-11-19 14:39:31
date last changed
2016-06-20 14:22:52
@misc{679537de-1666-409e-b8d1-c6c2e9e2046c,
  abstract     = {In this paper we consider the classic problem of scattering of waves<br/><br>
 from perfectly conducting cylinders with piecewise smooth<br/><br>
 boundaries. The scattering problems are formulated as integral<br/><br>
 equations and solved using a Nyström scheme, where the corners of<br/><br>
 the cylinders are efficiently handled by a method referred to as<br/><br>
 Recursively Compressed Inverse Preconditioning (RCIP). This method<br/><br>
 has been very successful in treating static problems in non-smooth<br/><br>
 domains and the present paper shows that it works equally well for<br/><br>
 the Helmholtz equation. In the numerical examples we focus on<br/><br>
 scattering of E- and H-waves from a cylinder with one corner. Even<br/><br>
 at a size kd=1000, where k is the wavenumber and $d$ the<br/><br>
 diameter, the scheme produces at least 13 digits of accuracy in the<br/><br>
 electric and magnetic fields everywhere outside the cylinder.},
  author       = {Helsing, Johan and Karlsson, Anders},
  language     = {eng},
  pages        = {16},
  publisher    = {ARRAY(0xa4f79f8)},
  series       = {Technical Report LUTEDX/(TEAT-7221)/1-16/(2012)},
  title        = {An accurate boundary value problem solver applied to scattering from cylinders with corners},
  volume       = {TEAT-7221},
  year         = {2012},
}