The Finite Superelement Method and its Application for Solving Science and Technology Problems

摘要

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