| 无单元伽辽金方法中权函数及影响域研究 |
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| 引用本文： | 刘素贞,杨庆新,陈海燕,杨文荣.无单元伽辽金方法中权函数及影响域研究[J].低压电器,2006(8):8-11. |
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| 作者姓名： | 刘素贞 杨庆新 陈海燕 杨文荣 |
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| 作者单位： | 河北工业大学,电磁场与电器可靠性省部共建重点实验室,天津,300130 |
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| 基金项目： | 国家重点基础研究发展计划(973计划)，河北省自然科学基金，河北省教育厅科学技术研究与发展计划 |
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| 摘 要： | 权函数在滑动最小二乘法中起着非常重要的作用,它直接关系到无单元伽辽金方法(EFGM)的计算精度、计算复杂性和收敛速度,权函数的连续性决定了无单元EFGM中形函数的连续性,因此,选取一个适合电磁场数值分析的权函数变得尤为迫切。对权函数进行了详细研究,给出了影响域的选取原则及二维、三维场中影响半径的计算公式。
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| 关 键 词： | 无单元伽辽金方法 电磁场计算 权函数 影响域 |
| 文章编号： | 1001-5531（2006）08-0008-04 |
| 收稿时间： | 05 31 2005 12:00AM |
| 修稿时间： | 2005-05-31 |
Study on Weight Functions and the Influence Domain Width in Element-Free Galerkin Method |
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| LIU Su-zhen,YANG Qing-xin,CHEN Hai-yan,YANG Wen-rong.Study on Weight Functions and the Influence Domain Width in Element-Free Galerkin Method[J].Low Voltage Apparatus,2006(8):8-11. |
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| Authors: | LIU Su-zhen YANG Qing-xin CHEN Hai-yan YANG Wen-rong |
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| Affiliation: | Province-Ministry Joint Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability, Hebei University of Technology, Tianjin 300130, China |
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| Abstract: | The weight function plays an important role in the performance of the Element-Free Galerkin Method (EFGM). It can impose a tremendous influence on the accuracy of solutions,the complexity of computation and the rate of convergence. The continuity of the weight function causes the continuity of the shape function in the EFGM. Therefore,it becomes particularly urgent to select an appropriate weight function suited to electromagnetic calculations. Detailed research was discussed on some key problems,such as the regularity of the influence domain width,the formula of the influence radius of nodes in two or three dimensional problems. |
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| Keywords: | element-free galerkin method electromagnetic field computations weight functions influence domain width |
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