Higher order hierarchical H(curl) Legendre basis functions applied in the finite element method: emphasis on microwave circuits
(2011) In Technical Report LUTEDX/(TEAT-7205)/1-11/(2011)- 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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1917393
- author
- Johannesson, Peter LU
- organization
- publishing date
- 2011
- type
- Book/Report
- publication status
- published
- subject
- in
- Technical Report LUTEDX/(TEAT-7205)/1-11/(2011)
- pages
- 11 pages
- publisher
- [Publisher information missing]
- report number
- TEAT-7205
- language
- English
- LU publication?
- yes
- id
- de8b88e3-e755-4bf6-a04c-cb20416a80c1 (old id 1917393)
- date added to LUP
- 2016-04-04 14:24:06
- date last changed
- 2018-11-21 21:20:07
@techreport{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}},
institution = {{[Publisher information missing]}},
language = {{eng}},
number = {{TEAT-7205}},
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}},
url = {{https://lup.lub.lu.se/search/files/6352238/1917395.pdf}},
year = {{2011}},
}