کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
514054 | 866691 | 2011 | 9 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Fast iterative solvers for thin structures Fast iterative solvers for thin structures](/preview/png/514054.png)
For very large systems of equations arising from 3D finite element formulation, pre-conditioned iterative solvers are preferred over direct solvers due to their reduced memory requirements. However, in the finite-element analysis of thin structures such as beam and plate structures, iterative solvers perform poorly due to the presence of poor quality elements. In particular, their efficiency drops significantly with increase in the aspect ratio of such structures.In this paper, we propose a dual-representation based multi-grid framework for efficient iterative analysis of thin structures. The proposed iterative solvers are relatively insensitive to the quality of the elements since they exploit classical beam and plate theories to spectrally complement 3D finite element analysis. This leads to significant computational gains, as supported by the numerical experiments.
► We propose here a computational framework for efficient iterative analysis of thin-structures.
► The framework exploits classical beam and plate theories to precondition 3-D finite element analysis.
► This leads to significant computational gains, as supported by the numerical experiments.
Journal: Finite Elements in Analysis and Design - Volume 47, Issue 11, November 2011, Pages 1223–1231