Characterization of an adaptive refinement algorithm for a meshless eigenvalue solver based on radial basis functions
(2010) 2010 Electromagnetic Compatibility Symposium - Melbourne, EMCSA 2010- Abstract
A meshless method based on a radial basis collocation approach is presented to calculate eigenvalues for the second-order wave equation. Instead of an explicit mesh topology only a node distribution is required to calculate electric fields, thus facilitating dynamic alteration of the discretization of an electromagnetic problem. An algorithm is presented that automatically adapts an initially very coarse discretization by adding points where higher accuracy is required by the physics of the problem. The algorithm is applied to a cylindrical cavity resonator and the rate of convergence is compared to uniform refinements with the radial basis method and to a regular grid-based finite-difference approach.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/b12e809c-a7fb-4dbf-9e5e-7a832870dc64
- author
- Kaufmann, Thomas ; Engström, Christian LU and Fumeaux, Christophe
- publishing date
- 2010
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 2010 Electromagnetic Compatibility Symposium - Melbourne, EMC Melbourne 2010
- article number
- 6141514
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 2010 Electromagnetic Compatibility Symposium - Melbourne, EMCSA 2010
- conference location
- Melbourne, VIC, Australia
- conference dates
- 2010-09-08 - 2010-09-10
- external identifiers
-
- scopus:84857157136
- ISBN
- 9781424486953
- DOI
- 10.1109/EMCSA.2010.6141514
- language
- English
- LU publication?
- no
- id
- b12e809c-a7fb-4dbf-9e5e-7a832870dc64
- date added to LUP
- 2023-03-24 11:14:03
- date last changed
- 2023-03-24 14:45:06
@inproceedings{b12e809c-a7fb-4dbf-9e5e-7a832870dc64, abstract = {{<p>A meshless method based on a radial basis collocation approach is presented to calculate eigenvalues for the second-order wave equation. Instead of an explicit mesh topology only a node distribution is required to calculate electric fields, thus facilitating dynamic alteration of the discretization of an electromagnetic problem. An algorithm is presented that automatically adapts an initially very coarse discretization by adding points where higher accuracy is required by the physics of the problem. The algorithm is applied to a cylindrical cavity resonator and the rate of convergence is compared to uniform refinements with the radial basis method and to a regular grid-based finite-difference approach.</p>}}, author = {{Kaufmann, Thomas and Engström, Christian and Fumeaux, Christophe}}, booktitle = {{2010 Electromagnetic Compatibility Symposium - Melbourne, EMC Melbourne 2010}}, isbn = {{9781424486953}}, language = {{eng}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, title = {{Characterization of an adaptive refinement algorithm for a meshless eigenvalue solver based on radial basis functions}}, url = {{http://dx.doi.org/10.1109/EMCSA.2010.6141514}}, doi = {{10.1109/EMCSA.2010.6141514}}, year = {{2010}}, }