Implementation of enhanced shape functions for non-affine elements

The performance of different edge vector basis functions is compared for non-affine elements. Improved accuracy is measured by comparing the calculated eigenvalues of the electromagnetic field distribution in a cavity with analytical results. Enhanced H(curl)-conforming basis functions are numerical...

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Veröffentlicht in:	IET science, measurement & technology measurement & technology, 2015-03, Vol.9 (2), p.184-188
Hauptverfasser:	Andriamaro, Gaëlle, Davydov, Oleg, Simkin, John
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation approximation theory Basis functions edge vector basis function Eigenvalues eigenvalues and eigenfunctions eigenvalues calculation electromagnetic field distribution Electromagnetic fields enhanced H(curl)‐conforming basis function enhanced shape function implementation finite element analysis Holes Mathematical analysis nonaffine element nonaffine hexahedra optimal approximation property Optimization Preserves Special Issue: Computational Electromagnetics (CEM) - Selected papers from the International Conference on Computational Electromagnetics (CEM) 2014 vectors
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Beschreibung
Zusammenfassung:	The performance of different edge vector basis functions is compared for non-affine elements. Improved accuracy is measured by comparing the calculated eigenvalues of the electromagnetic field distribution in a cavity with analytical results. Enhanced H(curl)-conforming basis functions are numerically shown to preserve the optimal approximation properties of the finite element on non-affine hexahedra.
ISSN:	1751-8822 1751-8830 1751-8830
DOI:	10.1049/iet-smt.2014.0191