Multigrid Lagrangian curvilinear elements in the three-demensional analysis of the composite cylindrical panels and shells

The procedures for constructing the curvilinear Lagrangian double-grid finite elements (DGFE) and complex multigrid finite elements (MGFE) in the local Cartesian systems to calculate the elastic composite cylindrical panels and shells are offered. The calculations of the fibrous structure panels demonstrate that the maximum equivalent tension and displacement of the basic and double-grid (multigrid) discrete panel models differ by 1-8 %. The implementation of the finite element method for two- and multigrid discrete models of panels requires 10 3 ÷ 10 4 times less of the computer's memory and 10 2 ÷10 3 times less of temporal costs than for the basic model.