About One Class of Finite Elements with Harmonic Basis Functions

Resumo

A new class of finite elements of high order approximation with vector basis functions is suggested. They satisfy both homogeneous equation with the div operator and homogeneous equation with the curl operator. To construct the finite elements two algorithms, developed by the authors before to obtain approximations of high order with the help of harmonic functions, are used. The main properties of the elements have been investigated.