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Computation of resonant modes for axisymmetric Maxwell cavities using hp-version edge finite elements

✍ Scribed by R. Hiptmair; P. D. Ledger

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 255 KB
Volume: 62
Category: Article
ISSN: 0029-5981
DOI: 10.1002/nme.1241

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✦ Synopsis

The computation of the resonant frequencies for closed cavities is not a trivial task: Multi-materials and sharp corners all give rise to highly singular eigenfunctions. However, an approach using hp-finite elements is well suited to such problems and, with the correct combination of hand p-refinements, it yields the theoretically predicated exponential rates of convergence.

In this paper, we present a novel approach to the solution of axisymmetric cavity problems which uses a hierarchic H 1 and H(curl) conforming finite element basis. A selection of numerical examples is included and these demonstrate that the exponential rates of convergence are achieved in practice.

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Efficient computation of Maxwell eigenmodes in axisymmetric cavities using hierarchical vector finite elements

✍ Neelakantam V. Venkatarayalu 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 905 KB

## Abstract Computation of Maxwell eigenmodes in an axisymmetric cavity using hierarchical vector finite elements is presented. The use of curl conforming vector basis functions, which span the null space of the curl operator, leads to the appearance of spurious modes with zero eigenvalues. Such sp