An accurate boundary value problem solver applied to scattering from cylinders with corners
(2012) In Technical Report LUTEDX/(TEAT-7221)/1-16/(2012)- 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:
https://lup.lub.lu.se/record/3172876
- author
- Helsing, Johan LU and Karlsson, Anders LU
- organization
- publishing date
- 2012
- type
- Book/Report
- publication status
- published
- subject
- in
- Technical Report LUTEDX/(TEAT-7221)/1-16/(2012)
- pages
- 16 pages
- publisher
- [Publisher information missing]
- report number
- TEAT-7221
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004), Electrical and information technology (011041010)
- id
- 679537de-1666-409e-b8d1-c6c2e9e2046c (old id 3172876)
- date added to LUP
- 2016-04-04 13:49:34
- date last changed
- 2018-11-21 21:16:34
@techreport{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}},
institution = {{[Publisher information missing]}},
language = {{eng}},
number = {{TEAT-7221}},
series = {{Technical Report LUTEDX/(TEAT-7221)/1-16/(2012)}},
title = {{An accurate boundary value problem solver applied to scattering from cylinders with corners}},
url = {{https://lup.lub.lu.se/search/files/6214126/3172880.pdf}},
year = {{2012}},
}