Computing Maxwell eigenvalues by using higher order edge elements in three dimensions

We use recently proposed hierarchic basis functions and a tetrahedral partitioning to compute Maxwell eigenvalues on a bounded polygonal domain in /spl Ropf//sup 3/, using a p-version finite-element procedure based on edge elements. The problem formulation requires a set of basis functions that are...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2003-09, Vol.39 (5), p.2149-2153
Main Authors: Ainsworth, M., Coyle, J., Ledger, P.D., Morgan, K.
Format: Article
Language:English
Subjects:
Applied classical electromagnetism
Approximation
Basis functions
Compatibility
Conductivity
Councils
Eigenvalues
Eigenvalues and eigenfunctions
Electromagnetic scattering
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Exact sciences and technology
Finite element method
Finite element methods
Fundamental areas of phenomenology (including applications)
Magnetism
Mathematical analysis
Mathematics
Maxwell equations
Partitioning
Physics
Resonance
Resonant frequency
Three dimensional
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Summary:We use recently proposed hierarchic basis functions and a tetrahedral partitioning to compute Maxwell eigenvalues on a bounded polygonal domain in /spl Ropf//sup 3/, using a p-version finite-element procedure based on edge elements. The problem formulation requires a set of basis functions that are H(curl)-conforming and another compatible set that is H/sup 1/-conforming. In this preliminary study, we employ a uniform order of approximation throughout the domain.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2003.817097