Title :
Implementation of enhanced shape functions for non-affine elements
Author :
Andriamaro, Gaëlle ; Davydov, Oleg ; Simkin, John
Author_Institution :
Dept. of Math. & Stat., Univ. of Strathclyde, Glasgow, UK
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. Enhanced H(curl)-conforming basis functions are numerically shown to preserve the optimal approximation properties of the finite element on non-affine hexahedra.
Keywords :
approximation theory; eigenvalues and eigenfunctions; electromagnetic fields; finite element analysis; vectors; edge vector basis function; eigenvalues calculation; electromagnetic field distribution; enhanced H(curl)-conforming basis function; enhanced shape function implementation; finite element analysis; nonaffine element; nonaffine hexahedra; optimal approximation property;
Journal_Title :
Science, Measurement & Technology, IET
DOI :
10.1049/iet-smt.2014.0191
