| 无网格法的研究进展 |
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| 引用本文： | 刘天祥,刘更,朱均,虞烈.无网格法的研究进展[J].机械工程学报,2002,38(5):7-12. |
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| 作者姓名： | 刘天祥 刘更 朱均 虞烈 |
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| 作者单位： | 1. 西北工业大学机械系,西安,710072
2. 西安交通大学 |
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| 基金项目： | 西安交通大学现代设计及转子轴承系统教育部重点实验室访问学者基金资助项目。 |
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| 摘 要： | 对现有的无网格法（Meshless methods）进行了综述。描述了无网格法的近似方案、权函数的选择、变分形式和离散方程以及数值求解的实现。研究了无网格法对不连续问题和边界条件的处理、无网格法与有限元法的耦合。采用Element-free Galerkin（无网格伽辽金,EFG）方法编制了相应程序,并给出了两个计算例子。在现有研究的基础上提出了无网格法未来发展的几个方向。
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| 关 键 词： | 无网格法 权函数 无网格伽辽金 |
| 修稿时间： | 2001年10月30 |
ADVANCES IN THE STUDIES ON MESHLESS METHODS |
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| Liu Tianxiang,Liu Geng.ADVANCES IN THE STUDIES ON MESHLESS METHODS[J].Chinese Journal of Mechanical Engineering,2002,38(5):7-12. |
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| Authors: | Liu Tianxiang Liu Geng |
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| Affiliation: | Liu Tianxiang Liu Geng (Northwestern Polytechnical University)Zhu Jun Yu Lie (Xi 'an Jiaotong University) |
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| Abstract: | Main procedures of meshless methods are reviewed and discussed. The approximation of meshless methods, the selection of weight function, the variational form and the discrete equation, and the numerical implementation are described. The discontinuous approximations and the approach of boundary conditions, and the coupling meshless methods to finite elements are studied. Two examples which use the EFG method are presented. Based on the investigation on the recent advances of the methods, the future development tendency of meshless methods is discussed and outlined. |
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| Keywords: | Meshless methods Weight function Galerkin method |
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