| 一种改进的无网格局部Petrov-Galerkin方法 |
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| 引用本文： | 胡玮军,夏平,刘凯远. 一种改进的无网格局部Petrov-Galerkin方法[J]. 邵阳学院学报(自然科学版), 2008, 5(3): 33-36 |
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| 作者姓名： | 胡玮军 夏平 刘凯远 |
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| 作者单位： | 1. 邵阳学院机械工程系,湖南,邵阳422000;湖南大学,力学与航空航天学院,湖南,长沙410082
2. 湖南大学,力学与航空航天学院,湖南,长沙410082 |
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| 摘 要： | 本文提出了一种改进的无网格局部Petrov-Galerkin方法来分析平面弹性力学问题．这种无网格方法采用移动最小二乘近似函数（MLS）来近似试函数，采用Heaviside函数作为加权残值法中的权函数，采用直接插值法来施加本质边界条件．最后通过数值实例表明平面弹性力学问题中改进的无网格Petrov-Galerkin方法具有收敛快、稳定性好、精度高和简单有效的特点．
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| 关 键 词： | 无网格局部Petrov-Galerkin方法 MLS Heaviside函数 直接插值法 |
A Modified Meshless Local Petrov-Galerkin Method for the Elasticity Problem |
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| HU Wei-Jun,XIA Ping,LIU Kai-yuan. A Modified Meshless Local Petrov-Galerkin Method for the Elasticity Problem[J]. Journal of Shaoyang University(Natural Science Edition), 2008, 5(3): 33-36 |
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| Authors: | HU Wei-Jun XIA Ping LIU Kai-yuan |
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| Affiliation: | HU Wei-Jun, XIA Ping, LIU Kai-yuan (1. Department of Mechanical Engineering, Shaoyang Institute, Shaoyang 22000; 2. College of Mechanics and Aerospace Engineering, Hunan University, Changsha 410082) |
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| Abstract: | The paper presents a modified local Petrov-Galerkin method for analysis of the elasticity problem. The meshless method uses the moving least squares （MLS） approximation, uses the Heaviside function as a test function of the weighted residual method and uses direct interpolation method to enforce essential boundary conditions. Numerical results show that the present method possesses not only feasibility and validity, but also high accuracy and good performance of convergence for the elasticity problem. |
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| Keywords: | meshless local Petrov-Galerkin method MLS Heaviside function direct interpolation method |
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