2008 , Volume 13, Special issue, p.47-53

In this article, we propose nonconformal finite elements of the Crouise---Raviart type for a 3D elasticity problem on a parallelipedal grid. We also propose a two-step iterative method for solution of the corresponding grid problem. We construct a preconditioner based on a transition from the elasticity operator to the grid Laplace operator as well as on a diagonalisation of the tangent displacement matrix and internal Chebyshev's iterations for the normal displacements. Theoretical and experimental analysis of the method is performed.