| 二维位势问题中的正则局部边界积分方程方法 |
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| 引用本文： | 郭晓峰,陈海波,王宁宇,张培强.二维位势问题中的正则局部边界积分方程方法[J].中国科学技术大学学报,2006,36(6):635-640. |
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| 作者姓名： | 郭晓峰 陈海波 王宁宇 张培强 |
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| 作者单位： | 中国科学技术大学力学和机械工程系,中国科学院材料力学行为和设计重点实验室,安徽合肥,230027 |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | 针对无网格局部边界积分方程方法中，边界点局部边界积分方程存在的Cauchy奇异性，引入正则化列式进行消除。推导了正则化位势边界积分方程，给出了与边界点局部边界积分方程相应的正则化计算公式。数值算例表明该方法能够有效地消除这种奇异性，最终给出高精度的数值结果。
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| 关 键 词： | 位势问题 无网格方法 局部边界积分方程 奇异积分 正则化 |
| 文章编号： | 0253-2778(2006)06-0635-06 |
| 收稿时间： | 12 21 2004 12:00AM |
| 修稿时间： | 11 20 2005 12:00AM |
Meshless regularized local boundary integral equation method to 2D potential problems |
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| GUO Xiao-feng,CHEN Hai-bo,WANG Ning-yu,ZHANG Pei-qiang.Meshless regularized local boundary integral equation method to 2D potential problems[J].Journal of University of Science and Technology of China,2006,36(6):635-640. |
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| Authors: | GUO Xiao-feng CHEN Hai-bo WANG Ning-yu ZHANG Pei-qiang |
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| Institution: | Department of Modern Mechanics, University of Science and Technology of China, CAS Key Laboratory of Mechanical Behavior and Design of Materials, Hefei 230027, China |
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| Abstract: | Regularized formulation was applied to eliminate the Cauchy singularity of the meshless local boundary integral equation(LBIE) method.Firstly,the regularized potential integral equation was deduced,then the regularized formulation was presented for the local boundary integral equation when the source point was located at the boundary.Numerical results show the efficiency of the algorithm. |
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| Keywords: | potential problem meshless method local boundary integral equation singular integrals regularization |
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