Title :
Enhanced shape functions tor non-affine elements
Author :
Andriamaro, G. ; Davydov, O. ; Simkin, J.
Author_Institution :
Dept. of Math. & Stat., Univ. of Strathclyde, Glasgow, UK
fDate :
March 31 2014-April 1 2014
Abstract :
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. H(curl)-conforming basis functions are derived that preserve the optimal approximation properties of the finite element on non-affine hexahedra.
Keywords :
Maxwell equations; approximation theory; electromagnetic field theory; mesh generation; vectors; H(curl)-conforming basis functions; Maxwell equations; edge finite elements; edge vector basis functions; electromagnetic field distribution; nonaffine elements; nonaffine hexahedra; optimal approximation properties; shape function enhancement; Edge finite elements; Maxwell´s equations; non-affine meshes;
Conference_Titel :
Computation in Electromagnetics (CEM 2014), 9th IET International Conference on
Conference_Location :
London
Electronic_ISBN :
978-1-84919-817-2
DOI :
10.1049/cp.2014.0194