Meshless eigenvalue analysis for resonant structures based on the radial point interpolation method
(2009) Asia Pacific Microwave Conference 2009, APMC 2009 p.818-821- Abstract
Meshless methods are a promising field of numerical methods recently introduced to computational electromagnetics. The potential of conformal and multi-scale modeling and the possibility of dynamic grid refinements are very attractive features that appear more naturally in meshless methods than in classical methods. The Radial Point Interpolation Method (RPIM) uses radial basis functions for the approximation of spatial derivatives. In this publication an eigenvalue solver is introduced for RPIM in electromagnetics. Eigenmodes are calculated on the example of a cylindrical resonant cavity. It is demonstrated that the computed resonance frequencies converge to the analytical values for increasingly fine spatial discretization. The... (More)
Meshless methods are a promising field of numerical methods recently introduced to computational electromagnetics. The potential of conformal and multi-scale modeling and the possibility of dynamic grid refinements are very attractive features that appear more naturally in meshless methods than in classical methods. The Radial Point Interpolation Method (RPIM) uses radial basis functions for the approximation of spatial derivatives. In this publication an eigenvalue solver is introduced for RPIM in electromagnetics. Eigenmodes are calculated on the example of a cylindrical resonant cavity. It is demonstrated that the computed resonance frequencies converge to the analytical values for increasingly fine spatial discretization. The computation of eigenmodes is an important tool to support research on a timedomain implementation of RPIM. It allows a characterization of the method's accuracy and to investigate stability issues caused by the possible occurrence of non-physical solutions.
(Less)
- author
- Kaufmann, Thomas ; Fumeaux, Christophe ; Engström, Christian LU and Vahldieck, Ruediger
- publishing date
- 2009
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Eigenvalues and eigenfunctions, Meshless methods, Radial basis functions, Radial point interpolation method
- host publication
- APMC 2009 - Asia Pacific Microwave Conference 2009
- article number
- 5384278
- pages
- 4 pages
- conference name
- Asia Pacific Microwave Conference 2009, APMC 2009
- conference location
- Singapore, Singapore
- conference dates
- 2009-12-07 - 2009-12-10
- external identifiers
-
- scopus:77950646972
- ISBN
- 9781424428021
- DOI
- 10.1109/APMC.2009.5384278
- language
- English
- LU publication?
- no
- id
- 0a4272b1-3c30-4547-9117-6fc72186c79d
- date added to LUP
- 2023-03-24 11:26:51
- date last changed
- 2023-03-24 14:41:29
@inproceedings{0a4272b1-3c30-4547-9117-6fc72186c79d,
abstract = {{<p>Meshless methods are a promising field of numerical methods recently introduced to computational electromagnetics. The potential of conformal and multi-scale modeling and the possibility of dynamic grid refinements are very attractive features that appear more naturally in meshless methods than in classical methods. The Radial Point Interpolation Method (RPIM) uses radial basis functions for the approximation of spatial derivatives. In this publication an eigenvalue solver is introduced for RPIM in electromagnetics. Eigenmodes are calculated on the example of a cylindrical resonant cavity. It is demonstrated that the computed resonance frequencies converge to the analytical values for increasingly fine spatial discretization. The computation of eigenmodes is an important tool to support research on a timedomain implementation of RPIM. It allows a characterization of the method's accuracy and to investigate stability issues caused by the possible occurrence of non-physical solutions.</p>}},
author = {{Kaufmann, Thomas and Fumeaux, Christophe and Engström, Christian and Vahldieck, Ruediger}},
booktitle = {{APMC 2009 - Asia Pacific Microwave Conference 2009}},
isbn = {{9781424428021}},
keywords = {{Eigenvalues and eigenfunctions; Meshless methods; Radial basis functions; Radial point interpolation method}},
language = {{eng}},
pages = {{818--821}},
title = {{Meshless eigenvalue analysis for resonant structures based on the radial point interpolation method}},
url = {{http://dx.doi.org/10.1109/APMC.2009.5384278}},
doi = {{10.1109/APMC.2009.5384278}},
year = {{2009}},
}