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| 无网格局部Petrov-Galerkin方法的改进及其应用 | |
| 引用本文： | 姜勇,于宁,李武.无网格局部Petrov-Galerkin方法的改进及其应用[J].同济大学学报(自然科学版),2006,34(5):603-606. |
| 作者姓名： | 姜勇 于宁 李武 |
| 作者单位： | 1. 同济大学,地下建筑与工程系,上海,200092;江南大学,土木工程系,江苏,无锡,214122 2. 同济大学,地下建筑与工程系,上海,200092 3. 安徽理工大学土木工程系,安徽,淮南,232001 |
| 摘 要： | 重新审视、研究了无网格局部Petrov—Galerkin方法，在肯定方法优点的同时，指出了它的不足之处，并有针对性地提出了采用蒙特卡罗方法进行数值积分的改进方案．无网格局部Petrov-Galerkin方法的缺点在于刚度矩阵及荷载项的数值积分虽不需要在全局背景网格下进行，却需要在局部支撑域布置更为细致的网格．本文的改进方案摒弃了高斯数值积分，采用不需要背景网格的蒙特卡罗随机积分法． |
| 关 键 词： | 无网格Petrov-Galerkin方法 局部对称弱形式 蒙特卡罗方法 数值积分 完全无网格方法 |
| 文章编号： | 0253-374X（2006）05-0603-04 |
| 收稿时间： | 11 1 2004 12:00AM |
| 修稿时间： | 2004-11-01 |
On the Improvements and Applications of the Meshless Local Petrov-Galerkin Method |
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| JIANG Yong,YU Ning,LI Wu.On the Improvements and Applications of the Meshless Local Petrov-Galerkin Method[J].Journal of Tongji University(Natural Science),2006,34(5):603-606. | |
| Authors: | JIANG Yong YU Ning LI Wu |
| Institution: | 1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China 2. Department of Civil Engineering, Southern Yangtze Univevaity, Wuxi 214122, China; 3. Department of Civil Engineering, Anhui University of Science and Technology, Huainan 232001, China |
| Abstract: | Efforts are made to study the Meshless Local PetrovGalerkin(MLPG) method in a new viewpoint,pointing out its advantages and disadvantages,and putting forward the Monte-Carlo method to perform the numerical integration.The disadvantage lies in the fact that numerical integration is performed under finer meshes of the support region,that is,integration meshes are still necessary.The new method adopts the Monte Carlo method which doesn't need background meshes. |
| Keywords: | meshless local Petrov-Galerkin method(MLPG) local symmetric weak form(LSWF) Monte-Carlo method numerical integration truly meshless method |
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