A novel Multi-Grid assisted reanalysis for re-meshed finite element models
A novel Multi-Grid assisted reanalysis for re-meshed finite element models
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一种新颖的多网格辅助重新分析，用于重新划分有限元模型的网格
DOI：
10.1016/j.cma.2016.10.029
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发表时间：
2017
影响因子：
7.2
通讯作者：
Li Guangyao
中科院分区：
文献类型：
--
作者：
Huang Guanxin;Wang Hu;Li Guangyao
本文提出了一种多重网格辅助重分析方法。MGR方法的显著特点是不要求修正网格与初始网格的一致性。通过引入多重网格，在修改网格和初始网格之间建立了一种连接，从而将修改网格的刚度矩阵映射到初始网格。随后，修改后的平衡方程可以重新分析的基础上的初始网格，通过重新使用从初始MG分析的转移算子。对于与初始网格不一致的修改网格，即使修改后重新划分网格，也能很好地求解。数值算例验证了该方法的有效性和准确性。结果表明，MGR的效率远高于基于MG预处理共轭梯度的全分析方法，且精度也能得到保证。
A Multi-Grid (MG) assisted Reanalysis method (MGR) is proposed in this study. The distinctive characteristic of the MGR method is that the consistency between the modified and the initial meshes is not required. The MG is introduced to establish a connection between the modified and the initial meshes, so that the stiffness matrix of the modified mesh can be mapped to the initial one. Sequentially, the modified equilibrium equation can be reanalyzed based on the initial mesh by re-using the transfer operators from the initial MG analysis. A modified mesh without any consistency with the initial mesh can be well solved by this way, even if it is totally re-meshed after modification. Numerical examples are presented to verify the efficiency and accuracy of the proposed method. The results show that the efficiency of MGR is much higher than the MG Preconditioned Conjugate Gradient based full analysis, and the accuracy can also be guaranteed.
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“Seen Is Solution”CAD/CAE集成并行再分析设计系统
影响因子：
7.2
作者：
Wang Hu;Zeng Yang;Li Enying;Huang Guangxin;Gao Guoqiang;Li Guangyao
通讯作者：
Li Guangyao
影响因子：
--
作者：
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DOI：
10.1137/060660588
发表时间：
2007-10
期刊：
SIAM J. Numer. Anal.
影响因子：
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作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
D. Materna;V. Kalpakides