| 基函数的阶数对无单元伽辽金方法精度的影响 |
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| 引用本文： | 张飞,张国达,任红萍.基函数的阶数对无单元伽辽金方法精度的影响[J].西南民族大学学报(自然科学版),2017,43(2):177-185. |
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| 作者姓名： | 张飞 张国达 任红萍 |
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| 作者单位： | 太原科技大学 应用科学学院,太原科技大学 应用科学学院,太原科技大学 应用科学学院 |
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| 基金项目： | 山西省自然科学(2014011006-2)；太原科技大学博士研究(20102024)；太原科技大学研究生科技创新项目(20151036). |
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| 摘 要： | 无单元伽辽金(Element-Free Galerkin)方法是无网格方法中很重要的一种数值计算方法,利用无单元伽辽金方法求解二维稳态热传导方程,当选取基函数为线性基、二次基时,分别将数值解和解析解对比,分析了基函数的阶数对无单元伽辽金方法精度的影响,并说明无单元伽辽金方法是一种高精度的数值计算方法 .
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| 关 键 词： | 无网格方法 无单元伽辽金方法 热传导方程 移动最小二乘法 基函数 |
| 收稿时间： | 2016/6/12 0:00:00 |
| 修稿时间： | 2017/3/3 0:00:00 |
Influence of the order of basis functions on the precision of element-free Galerkin methods |
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| ZHANG Fei,ZHANG Guo-da and REN Hong-ping.Influence of the order of basis functions on the precision of element-free Galerkin methods[J].Journal of Southwest University for Nationalities(Natural Science Edition),2017,43(2):177-185. |
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| Authors: | ZHANG Fei ZHANG Guo-da and REN Hong-ping |
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| Institution: | School of Applied Science,Taiyuan University of Science and Technology,School of Applied Science,Taiyuan University of Science and Technology,School of Applied Science,Taiyuan University of Science and Technology |
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| Abstract: | The element-free Galerkin method is a very important numerical method in meshless methods. In this paper, we use it for solving two dimensional steady state heat conduction equation, when the basis functions are selected as linear basis and quadratic basis, respectively, compared numerical solution with analytic solution, the effect of the order of basis functions on the accuracy of the method is analyzed, and we obtain that this method has high precision. |
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| Keywords: | meshless method element-free Galerkin method heat conduction equation moving least square method basis function |
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