2008 , Volume 13, Special issue, p.75-81

This paper addresses a development of the Fedorenko finite super element method (FSEM). A priori error estimates are obtained; saturability of the method in Sobolev spaces is determined. The conditions leading to the derivatives convergence are indicated, corresponding error estimates are given. Regularity and accuracy of the numerical solution on the Sobolev class of functions are shown. The investigation deals with the Dirichlet problem, but can be extended over a general class of linear elliptic problems.