Moiseenko S. Geometric modeling of hexagonal basis of the finite element

The dissertation is devoted building of hexagonal basis on a base of ingenious combination of geometrical, algebraically and experimental methods is offered. To main results it is necessary to refer the construction of interpolation hexagonal functions, in particular, harmonic polynomial base; the determination of probability criterion of harmonicity; the method of building of polynomial base of the hexagon, founded on a constructive using the special nodes in the carrier, namely the probability-geometrical characteristic applicates of base function in these reference nodes; the building of the new models base function for prismatic element with hexagonal section. The practical value of results of a thesis consist in an opportunity to use new hexagonal models for design studies and study of physical fields on lamellate elements. The results of researches are introduced into manufacture at modeling of the temperature field and in educational process.