Алгоритм построения эрмитовых конечных элементов третьей степени

The article presents an algorithm of setting Hermite interpolation conditions in tetrahedra of triangulated area in order to obtain a continuous piecewise-polynomial function. The use of the obtained finite element space requires additional restrictions on triangulation as compared with the space under construction using Lagrange interpolation, but the obtained finite element space has a smaller dimension.