| ADAPTIVE MESHLESS METHOD BASED ON LOCAL FIT TECHNOLOGY |
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| 作者姓名： | LouLuliang ZengPan |
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| 作者单位： | DepartmentofMechanicalEngineering,TsinghuaUniversity,Beijing100084,China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No. 50175060). |
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| 摘 要： | An h-adaptive meshless method is proposed in this paper. The error estimation is based on local fit technology, usually confined to Voronoi Cells. The error is achieved by comparison of the computational results with smoothed ones, which are projected with Taylor series. Voronoi Cells are introduced not only for integration of potential energy but also for guidance of refinement.New nodes are placed within those cells with high estimated error. At the end of the paper, two numerical examples with severe stress gradient are analyzed. Through adaptive analysis accurate results are obtained at critical subdomains, which validates the efficiency of the method.
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| 关 键 词： | 误差估计 网格法 局部适应 偏微分方程 |
ADAPTIVE MESHLESS METHOD BASED ON LOCAL FIT TECHNOLOGY |
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| LouLuliang ZengPan.ADAPTIVE MESHLESS METHOD BASED ON LOCAL FIT TECHNOLOGY[J].Acta Mechanica Solida Sinica,2005,18(2):164-172. |
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| Authors: | Lou Luliang Zeng Pan |
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| Abstract: | An h-adaptive meshless method is proposed in this paper. The error estimation is based on local fit technology, usually confined to Voronoi Cells. The error is achieved by comparison of the computational results with smoothed ones, which are projected with Taylor series. Voronoi Cells are introduced not only for integration of potential energy but also for guidance of refinement. New nodes are placed within those cells with high estimated error. At the end of the paper, two numerical examples with severe stress gradient are analyzed. Through adaptive analysis accurate results are obtained at critical subdomains, which validates the efficiency of the method. |
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| Keywords: | adaptive analysis error estimation meshless method local fit |
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