Finete superelement method and its application for solving science and technology problems

The algorithm for construction and study of Fedorenko finite superelements method (FSEM) is described. Different variants of Fedorenko FSEM for simulation of media with small inclusions are presented. The algorithms are implemented and software complex for numerical solution of boundary value problems with singularities is developed. The theoretical substantiation of different variants of method for elliptic equations on the example of the Laplace equation is realized. The results of numerical solution for several tasks are presented.