Meshless eigenvalue analysis for resonant structures based on the radial point interpolation method

Thomas Kaufmann, Christophe Fumeaux, Christian Engström, Ruediger Vahldieck

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

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 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.

Original languageEnglish
Title of host publicationAPMC 2009 - Asia Pacific Microwave Conference 2009
Pages818-821
Number of pages4
DOIs
Publication statusPublished - 2009
Externally publishedYes
EventAsia Pacific Microwave Conference 2009, APMC 2009 - Singapore, Singapore
Duration: 2009 Dec 72009 Dec 10

Conference

ConferenceAsia Pacific Microwave Conference 2009, APMC 2009
Country/TerritorySingapore
CitySingapore
Period2009/12/072009/12/10

Subject classification (UKÄ)

  • Computational Mathematics

Free keywords

  • Eigenvalues and eigenfunctions
  • Meshless methods
  • Radial basis functions
  • Radial point interpolation method

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