| 改进型无网格伽辽金法(IEFG)的研究及其应用 |
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| 引用本文： | 程媛媛,边燕飞.改进型无网格伽辽金法(IEFG)的研究及其应用[J].合肥工业大学学报(自然科学版),2009,32(4). |
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| 作者姓名： | 程媛媛 边燕飞 |
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| 作者单位： | 合肥工业大学,土木与水利工程学院,安徽,合肥,230009 |
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| 摘 要： | 文章介绍了一种改进的移动最小二乘(IMLS)近似,该近似比现有的移动最小二乘(MLS)近似有更高的计算效率和精度,且不会导致系统方程产生病态.IMLS近似与无网格伽辽金法(EFG)相结合构成了一种改进型无网格伽辽金法(IEFG),该方法可以容易推广到求解非线性问题以及非均匀介质的力学问题.文章给出了2个计算实例,计算结果证明,该方法是一种收敛快、精度高、简便有效的通用方法,在工程中具有广阔的应用前景.
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| 关 键 词： | 无网格法 移动最小二乘近似 改进的移动最小二乘近似 改进型无网格伽辽金法 |
Study on the improved element-free Galerkin method and its application |
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| CHENG Yuan-yuan,BIAN Yan-fei.Study on the improved element-free Galerkin method and its application[J].Journal of Hefei University of Technology(Natural Science),2009,32(4). |
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| Authors: | CHENG Yuan-yuan BIAN Yan-fei |
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| Institution: | School of Civil and Hydraulic Engineering;Hefei University of Technology;Hefei 230009;China |
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| Abstract: | This paper presents an improved moving least-squares(IMLS) approximation.The IMLS approximation has greater computational efficiency and precision than the existing moving least-squares(MLS) approximation,and does not lead to an ill-conditioned system of equations.By combining the element-free Galerkin(EFG) method and the IMLS approximation,an improved element-free Galerkin(IEFG) method is derived.The method can be easily applied to nonlinear problems and heterosphere mechanics problems.Calculation results ... |
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| Keywords: | meshless method moving least-squares approximation improved moving least-squares approximation improved element-free Galerkin method |
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