Four-node finite element of a two-dimensional functional spline to simulate a regular aircraft surface

The Gramian matrix of a four-node finite element is obtained using generalized differentiation to calculate a functional two-dimensional interpolation spline. The numerical results of testing that confirm the interpolation process convergence when applying a sequence of functional two-dimensional splines calculated by the method suggested are presented. Also given are the results of solving an applied problem of simulating an external surface of the fighter cockpit canopy.