Analysis of Accuracy of Approximations for Fedorenko Finite Superelements Method

Fedorenko finite superelements method is considered. Apriori estimations of the method errors are obtained and its saturation ability in Sobolev spaces is established. Jackson’s inequality is derived for the method approximations. The study is performed by example of Dirichlet’s problem, results may be extended for the class of general linear elliptical problems. An example of the numerical calculation of the electric potential distribution in conducting objects is given.