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Numerical evaluation of potential integrals containing higher order hierarchical H(div) Legendre basis functions for parameterized quadrilateral surface cells

Johannesson, Peter LU and Karlsson, Anders LU (2011) In Technical Report LUTEDX/(TEAT-7206)/1-19/(2011)
Abstract
The singularity cancelation scheme initially introduced by Khayat

and Wilton for evaluating singular and near-singular potential

integrals with 1/R singularities has in this paper been

applied to parameterized quadrilateral cells containing higher order

hierarchical H(div) Legendre basis functions. The singular

and near-singular potential integrals treated in this paper appear

in the method of moment (MoM). Numerical results are presented for

different order numbers of the Legendre polynomials and for

quadrilateral cells of different shapes.
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Technical Report LUTEDX/(TEAT-7206)/1-19/(2011)
pages
19 pages
publisher
[Publisher information missing]
report number
TEAT-7206
language
English
LU publication?
yes
id
7b9a1c72-f30d-4acb-a6de-82630b475be4 (old id 1939401)
date added to LUP
2016-04-04 14:27:49
date last changed
2018-11-21 21:20:28
@techreport{7b9a1c72-f30d-4acb-a6de-82630b475be4,
  abstract     = {{The singularity cancelation scheme initially introduced by Khayat<br/><br>
and Wilton for evaluating singular and near-singular potential<br/><br>
integrals with 1/R singularities has in this paper been<br/><br>
applied to parameterized quadrilateral cells containing higher order<br/><br>
hierarchical H(div) Legendre basis functions. The singular<br/><br>
and near-singular potential integrals treated in this paper appear<br/><br>
in the method of moment (MoM). Numerical results are presented for<br/><br>
different order numbers of the Legendre polynomials and for<br/><br>
quadrilateral cells of different shapes.}},
  author       = {{Johannesson, Peter and Karlsson, Anders}},
  institution  = {{[Publisher information missing]}},
  language     = {{eng}},
  number       = {{TEAT-7206}},
  series       = {{Technical Report LUTEDX/(TEAT-7206)/1-19/(2011)}},
  title        = {{Numerical evaluation of potential integrals containing higher order hierarchical H(div) Legendre basis functions for parameterized quadrilateral surface cells}},
  url          = {{https://lup.lub.lu.se/search/files/6366349/1939402.pdf}},
  year         = {{2011}},
}