Hierarchical composite grid method for global-local analysis of laminated composite shells Original Research Article

A hierarchical version of the composite grid method (denoted as HFAC), which exploits the solution of the shell model in studying local effects via a 3D solid model, is developed. Convergence studies on a beam/2D model problem indicate that the spectral radius of the point iteration matrix for the HFAC method is O(1) and View the MathML source with exact and approximate auxiliary coarse grid solutions, respectively, where L and H are the span and the thickness of the beam, respectively. Numerical experiments in multidimensions confirm these findings.