Manoilenko E. Geometrical modeling in the methods of discretic elements

Finite elements of the serendip family. The methods the theory of probabilities, calculus mathematics. The new geometric approach to the basal functions construction is developed which gives the possibility to obtain the new alternative models. The traditional approach to the basal functions construction in the finite element method reduces to the solution of linear algebraic equations system relative to the parameters assigned the interpolar polynome, and to the further trial function estimation. This approach conjugates with the certain calculating difficulties and demands big expenditures of machine time. The computing formulas for solving two- and three-dimensional elliptical equations with mixed boundary conditions are created for the first time. The constructed models built can be used at the design bureaus of the industrial enterprises.