Open AccessImplementation of enhanced shape functions for non‐affine elements
Author(s) -
Andriamaro Gaëlle,
Davydov Oleg,
Simkin John
Publication year - 2015
Publication title -
iet science, measurement and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.418
H-Index - 49
eISSN - 1751-8830
pISSN - 1751-8822
DOI - 10.1049/iet-smt.2014.0191
Subject(s) - affine transformation , curl (programming language) , eigenvalues and eigenvectors , basis (linear algebra) , basis function , finite element method , hexahedron , mathematics , electromagnetic field , affine combination , mathematical analysis , geometry , physics , computer science , quantum mechanics , programming language , thermodynamics
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.