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 language | English |
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Title of host publication | APMC 2009 - Asia Pacific Microwave Conference 2009 |
Pages | 818-821 |
Number of pages | 4 |
DOIs | |
Publication status | Published - 2009 |
Externally published | Yes |
Event | Asia Pacific Microwave Conference 2009, APMC 2009 - Singapore, Singapore Duration: 2009 Dec 7 → 2009 Dec 10 |
Conference
Conference | Asia Pacific Microwave Conference 2009, APMC 2009 |
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Country/Territory | Singapore |
City | Singapore |
Period | 2009/12/07 → 2009/12/10 |
Subject classification (UKÄ)
- Computational Mathematics
Free keywords
- Eigenvalues and eigenfunctions
- Meshless methods
- Radial basis functions
- Radial point interpolation method