| 求解椭圆型偏微分方程边值问题的无网格伽辽金方法 |
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| 引用本文： | 王卫东,赵国群,栾贻国. 求解椭圆型偏微分方程边值问题的无网格伽辽金方法[J]. 山东大学学报(工学版), 2004, 34(6): 70-72 |
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| 作者姓名： | 王卫东 赵国群 栾贻国 |
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| 作者单位： | 1. 山东大学,土建与水利工程学院,山东,济南,250061
2. 山东大学,材料科学与工程学院,模具工程技术研究中心,山东,济南,250061 |
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| 摘 要： | 基于移动最小二乘近似 ,给出了场变量的近似表达 ;采用完全变换法施加本质边界条件 ,给出求解椭圆型边值问题的无网格伽辽金方法 .计算结果表明该方法不仅易于实施 ,而且具有较高的精度和稳定性 .
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| 关 键 词： | 椭圆型方程 无网格伽辽金方法 移动最小二乘近似 本质边界条件 完全变换法 |
| 文章编号： | 1672-3961(2004)06-0070-03 |
| 修稿时间： | 2004-03-22 |
Element free Galerkin method for solving boundary value problems for elliptic partial differential equations |
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| WANG Wei-dong ,ZHAO Guo-qun ,LUAN Yi-guo. Element free Galerkin method for solving boundary value problems for elliptic partial differential equations[J]. Journal of Shandong University of Technology, 2004, 34(6): 70-72 |
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| Authors: | WANG Wei-dong ZHAO Guo-qun LUAN Yi-guo |
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| Affiliation: | WANG Wei-dong 1,ZHAO Guo-qun 2,LUAN Yi-guo 2 |
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| Abstract: | Based on the moving least square theory, the approximate form of field variations is expressed. The full transformation method is used in element-free Galerkin method for solving the elliptic boundary value problems. The application examples reveal that the present method is not only simple, logical but also exhibits very high accuracy and stability. |
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| Keywords: | elliptic equation element-free Galerkin method moving least square approximation essential boundary conditions full transformation method |
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