| 波动方程的无网格-精细积分方法 |
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| 引用本文： | 刘仁昌,李忠芳,任传波.波动方程的无网格-精细积分方法[J].山东理工大学学报,2007,21(4):45-48. |
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| 作者姓名： | 刘仁昌 李忠芳 任传波 |
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| 作者单位： | 山东理工大学交通与车辆工程学院 山东淄博255049(刘仁昌，任传波)，江苏大学理学院 江苏镇江212013(李忠芳) |
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| 摘 要： | 将无网格法和精细积分用于波动方程的计算.在空间上用无网格法进行离散,用修正变分原理处理本征边界条件;在时间域上用精细积分法求解动力学方程,然后给出两个波动方程的算例.数值结果表明此方法是稳定、精确的.
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| 关 键 词： | 波动方程 动力学方程 无网格法 精细积分 修正变分原理 |
| 文章编号： | 1672-6197（2007）04-0045-04 |
| 修稿时间： | 2006-12-13 |
Element free-precise integration method for wave equation |
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| LIU Ren-chang,LI Zhong-fang,REN Chuan-bo.Element free-precise integration method for wave equation[J].Journal of Shandong University of Technology:Science and Technology,2007,21(4):45-48. |
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| Authors: | LIU Ren-chang LI Zhong-fang REN Chuan-bo |
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| Institution: | 1. School of Traffic and Vehicle Engineering, Shandong University of Technology, Zibo 255049,China; 2. Faculty of Science, Jiangsu University, Zhenjiang 212013, China |
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| Abstract: | The element free-precise integration method is applied to solve the wave equation.It is discreted in space domain with element free method in which the essential boundary conditions are imposed by modified variation principle,and the precise integration is applied to solve the dynamics equation in time domain.Then two calculations of wave equation are given using the method above.The result shows that this method has advantage of high stability and accuracy. |
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| Keywords: | wave equation dynamics equation element free method precise integration modified variation principle |
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