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Characterization of an adaptive refinement algorithm for a meshless eigenvalue solver based on radial basis functions

Kaufmann, Thomas ; Engström, Christian LU and Fumeaux, Christophe (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:
author
; and
publishing date
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}},
}