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In this work finite superelements method (FSEM) for solution of biharmonic equation in bounded domains is proposed and developed. The method is based on decomposition of domain into subdomains with the solution of a number of intermediary problems, every of which is a boundary value problem for biharmonic equation with boundary condition being basis for interpolation of solution at superelements boundaries. The initial problem solution is found as an expansion on the constructed function system. It is shown that the solution of general problem can be recovered using functions and traces found above. Error estimates for one case of FSEM are obtained. [ABSTRACT FROM AUTHOR]

The temperature mode of a metal contact upon transition to a hybrid and further on to a plasma one has been studied. Spatial (three-dimensional) mathematical modeling confirmed the existence of a dependable metal contact before melting of the anchor material and transition to an arc mode of passage of the current after the onset of boiling. The possibility of destruction of the accelerated body during the acceleration time has been investigated. [ABSTRACT FROM AUTHOR]

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]

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]

Presents a method of numerical experiment for investigating the use of currents induced within a conducting shield for railgun performance control. Statement of the problem; Discussion of the numerical simulation and its results; Conclusions.

Methods of numerical modeling of an electromagnetic field in electrodynamic launchers of the railgun type in the presence of magnetization turns have been proposed. Results of employment of different methods to model the electromagnetic field in a modular augmented staged electromagnetic launcher (MASEL) have been presented; a comparison of the results of simulation and full-scale experiments has been made. The issue of the dependence of the electromagnetic field on the configuration of magnetization turns has been investigated. [ABSTRACT FROM AUTHOR]