A SYSTEMATIC APPROACH TO THE CONSTRUCTION OF HIGHER ORDER VECTOR FINITE ELEMENTS FOR THREE‐DIMENSIONAL ELECTROMAGNETIC FIELD COMPUTATION Available to Purchase

The importance of vector finite elements for electromagnetic field computation has been extensively demonstrated in the recent literature. In this study we present a systematic approach to the construction of higher order vector shape functions based on dual vector expansions. The methodology presented results in explicit forms for second order elements. Moreover, it reveals the presence of a whole family of vector finite elements depending on the choice of the degrees of freedom and a set of arbitrary parameters.