On the differential operator of problems of the theory of momentless elastic shells of non-negative Gaussian curvature

Abstract

A JUSTIFICATION is given of the differential-difference method of solving problems of the theory of momentless elastic thin shells of non-negative Gaussian curvature, which may vanish on the edge of the shell, with boundary conditions of the mixed type. The difference system of equations is obtained by minimization of the kinetic energy functional of the shell by mesh functions. The convergence of the method as the mesh step tends to zero is proved, the error of the solution is estimated, and its stability is investigated.