| Author | Jacob Fish, A. Suvorov and Vladimir Belsky |
|---|---|
| Title | Hierarchical Composite Grid Method for Global-Local Analysis of Laminated Composite Shells |
| Year | 1997 |
| Journal | Applied Numerical Mathematics |
| Volume | 23 |
| Pages | 241-258 |
| 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. |