About Coupling of the Block Elements

Abstract

The block element method gives the representations of the solutions of the partial differential equations more exactly than other numerical methods such as finite and boundary element methods. However it is achieved at expenses of more complicated structure and algorithm of the block element method. This is the reason for limitation of wider use of this method. The block element method provides one with the analytical representation of solution of partial differential equations and opens the way to extract the new regularities of the natural and mechanical process. The main operations for the block element method are the factorization and coupling of the block elements. It is necessary to select small block elements to be coupled to the considered domain. This paper addresses coupling of the block elements having a spherical boundary.