Author | Jacob Fish, L. Pan, Vladimir Belsky and S. Gomaa |
---|---|
Title | An Accelerated Unstructured Multigrid Method for Shells |
Year | 1995 |
Journal | International Journal for Numerical Methods in Engineering |
Volume | 39(7) |
Pages | 1181-1197 |
Abstract | An accelerated multigrid method, which exploits shell element formulation to speed up the iterative process, is developed for inherently poor conditioned thin domain problems on unstructured grids. Its building blocks are: (i) intergrid transfer operators based on the shell element shape functions, (ii) heavy smoothing procedures in the form of Modified Incomplete Cholesky factor, and (iii) various two- and three-parameter acceleration schemes. Both the flat shell triangular element and the assumed strain degenerated solid shell element are considered. Numerical results show a remarkable robustness for a wide spectrum of span/thickness ratios encountered in practical applications. |
PDF File | Download |