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

Abstract 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 O(( L H ) 2 ) 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.

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