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Higher order hierarchical H(curl) Legendre basis functions applied in the finite element method: emphasis on microwave circuits

Johannesson, Peter LU (2011) In Technical Report LUTEDX/(TEAT-7205)/1-11/(2011) TEAT-7205.
Abstract
In this paper a set of higher order hierarchical H(curl)

Legendre basis functions is introduced as a basis in the two and

three dimensional finite element method (FEM). The basis functions

are divided into three different sets: edge functions, surface

functions and interior functions. Two problems are addressed in

order to study the $p$-convergence of the representation. In the

first problem the eigenvalues of an inhomogeneous rectangular

waveguide with a rectangular inclusion are computed. The p-convergence is measured for a dielectric inclusion and for an

inclusion with finite conductivity, respectively. In the second

problem the eigenvalues of a homogeneous... (More)
In this paper a set of higher order hierarchical H(curl)

Legendre basis functions is introduced as a basis in the two and

three dimensional finite element method (FEM). The basis functions

are divided into three different sets: edge functions, surface

functions and interior functions. Two problems are addressed in

order to study the $p$-convergence of the representation. In the

first problem the eigenvalues of an inhomogeneous rectangular

waveguide with a rectangular inclusion are computed. The p-convergence is measured for a dielectric inclusion and for an

inclusion with finite conductivity, respectively. In the second

problem the eigenvalues of a homogeneous cubic cavity are computed

in order to measure the p-convergence for the three dimensional

representation. (Less)
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organization
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type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7205)/1-11/(2011)
volume
TEAT-7205
pages
11 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
de8b88e3-e755-4bf6-a04c-cb20416a80c1 (old id 1917393)
date added to LUP
2011-05-09 10:45:44
date last changed
2016-04-16 12:29:28
@misc{de8b88e3-e755-4bf6-a04c-cb20416a80c1,
  abstract     = {In this paper a set of higher order hierarchical H(curl)<br/><br>
Legendre basis functions is introduced as a basis in the two and<br/><br>
three dimensional finite element method (FEM). The basis functions<br/><br>
are divided into three different sets: edge functions, surface<br/><br>
functions and interior functions. Two problems are addressed in<br/><br>
order to study the $p$-convergence of the representation. In the<br/><br>
first problem the eigenvalues of an inhomogeneous rectangular<br/><br>
waveguide with a rectangular inclusion are computed. The p-convergence is measured for a dielectric inclusion and for an<br/><br>
inclusion with finite conductivity, respectively. In the second<br/><br>
problem the eigenvalues of a homogeneous cubic cavity are computed<br/><br>
in order to measure the p-convergence for the three dimensional<br/><br>
representation.},
  author       = {Johannesson, Peter},
  language     = {eng},
  pages        = {11},
  publisher    = {ARRAY(0x8425928)},
  series       = {Technical Report LUTEDX/(TEAT-7205)/1-11/(2011)},
  title        = {Higher order hierarchical H(curl) Legendre basis functions applied in the finite element method: emphasis on microwave circuits},
  volume       = {TEAT-7205},
  year         = {2011},
}