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Meshless eigenvalue analysis for resonant structures based on the radial point interpolation method
ETH Zurich, Switzerland.
The University of Adelaide, Australia.
ETH Zurich, Switzerland.
ETH Zurich, Switzerland.
2009 (English)In: Microwave conference: 2009, APMC, Asia, Pasific, IEEE, 2009, p. 818-821Conference paper, Published paper (Refereed)
Abstract [en]

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 time-domain 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

Place, publisher, year, edition, pages
IEEE, 2009. p. 818-821
National Category
Other Mathematics
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-81954DOI: 10.1109/APMC.2009.5384278ISBN: 978-1-4244-2802-1 (print)ISBN: 978-1-4244-2801-4 (print)OAI: oai:DiVA.org:lnu-81954DiVA, id: diva2:1304752
Conference
Asia-Pacific Microwave Conference (APMC), Singapore, December 7-9, 2009
Available from: 2019-04-13 Created: 2019-04-13 Last updated: 2019-05-13Bibliographically approved

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Engström, Christian

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf