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Higher order hierarchical H(curl) and H(div) Legendre basis functions applied in hybrid FEM-MoM

Johannesson, Peter LU (2011) In Technical Report LUTEDX/(TEAT-7207)/1-10/(2011) TEAT-7207.
Abstract
A hybrid finite element method/method of moments (FEM/MoM) technique

is used to analyze the performance of higher order hierarchical

Legendre basis functions. The FEM is used to model the interior part

of the computational domain and the MoM is used to model the

boundaries. Higher order hierarchical H(curl) Legendre basis

functions have been applied to represent the electric field in the

three dimensional FEM and higher order hierarchical H(div)

Legendre basis functions have been applied to represent the electric

and magnetic surface current densities in the MoM. The basis

functions have been developed for hexahedral volume elements and

quadrilateral... (More)
A hybrid finite element method/method of moments (FEM/MoM) technique

is used to analyze the performance of higher order hierarchical

Legendre basis functions. The FEM is used to model the interior part

of the computational domain and the MoM is used to model the

boundaries. Higher order hierarchical H(curl) Legendre basis

functions have been applied to represent the electric field in the

three dimensional FEM and higher order hierarchical H(div)

Legendre basis functions have been applied to represent the electric

and magnetic surface current densities in the MoM. The basis

functions have been developed for hexahedral volume elements and

quadrilateral surface elements, respectively. Numerical results are

presented for the bistatic RCS of a dielectric cube for which the

number of cells and the order numbers of the polynomials are varied. (Less)
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in
Technical Report LUTEDX/(TEAT-7207)/1-10/(2011)
volume
TEAT-7207
pages
10 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
5d4569ba-2406-45e9-8311-5bcd56465829 (old id 1968948)
date added to LUP
2011-05-27 09:35:21
date last changed
2016-04-16 11:35:15
@techreport{5d4569ba-2406-45e9-8311-5bcd56465829,
  abstract     = {A hybrid finite element method/method of moments (FEM/MoM) technique<br/><br>
is used to analyze the performance of higher order hierarchical<br/><br>
Legendre basis functions. The FEM is used to model the interior part<br/><br>
of the computational domain and the MoM is used to model the<br/><br>
boundaries. Higher order hierarchical H(curl) Legendre basis<br/><br>
functions have been applied to represent the electric field in the<br/><br>
three dimensional FEM and higher order hierarchical H(div)<br/><br>
Legendre basis functions have been applied to represent the electric<br/><br>
and magnetic surface current densities in the MoM. The basis<br/><br>
functions have been developed for hexahedral volume elements and<br/><br>
quadrilateral surface elements, respectively. Numerical results are<br/><br>
presented for the bistatic RCS of a dielectric cube for which the<br/><br>
number of cells and the order numbers of the polynomials are varied.},
  author       = {Johannesson, Peter},
  institution  = {[Publisher information missing]},
  language     = {eng},
  pages        = {10},
  series       = {Technical Report LUTEDX/(TEAT-7207)/1-10/(2011)},
  title        = {Higher order hierarchical H(curl) and H(div) Legendre basis functions applied in hybrid FEM-MoM},
  volume       = {TEAT-7207},
  year         = {2011},
}