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Abstract. The results of numerical investigation of the Finite Superelement Method (FSEM) for the solution of 3D elasticity problems are given. A definition of FSEM is proposed, and the general theory is briefly explained. Then the variants of FSEM are considered for the model problem. Their comparative analysis is being carried out. These variants are based on the finite element interpolation techniques on superelements boundaries. FSEM and FEM efficiency comparison is presented for the model problem. Quantative error data are obtained. A certain example of a 3D elasticity problem is considered in conclusion. A notable advantage of a higher degree FSEM approximation technique is illustrated. [ABSTRACT FROM AUTHOR]

This paper considers the Fedorenko Finite Superelement Method (FSEM) and some of its applications. The general idea, the main theoretical background, and the results of the numerical investigation of the method are presented using the model problem for the Laplace equation. Generalization to some other problems using the general approach suggested by the authors is also considered. [ABSTRACT FROM AUTHOR]

A Fedorenko Finite Superelements Method (FSEM) for 3D linear elasticity problems is considered. We present special weak statement for traces of original problem solution which natural Bubnov-Galerkin approximation leads to the FSEM. Some applications of the FSEM for the problems of mechanics of composites are considered and results of numerical experiments are presented. [ABSTRACT FROM AUTHOR]