| 楔形基无网格法解的存在惟一性 |
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| 引用本文： | 王志刚,秦新强,党发宁,苏李君.楔形基无网格法解的存在惟一性[J].山东大学学报(理学版),2010,45(2):44-49. |
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| 作者姓名： | 王志刚 秦新强 党发宁 苏李君 |
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| 作者单位： | 1. 西安理工大学理学院,陕西,西安,710054
2. 西安理工大学水利水电学院,陕西,西安,710048 |
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| 基金项目： | 国家自然科学基金，陕西省教育厅自然科学研究项目 |
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| 摘 要： | 将楔形基函数与配点法结合构造了一种新的无网格法。该方法无需背景积分网格,是一种真正的无网格法。将该方法应用于求解椭圆型方程问题,给出了解的存在惟一性,并通过数值算例验证了该算法的可行性。
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| 关 键 词： | 无网格法 楔形基函数 配点法 解的存在惟一性 |
| 收稿时间： | 2009-08-06 |
The existence and uniqueness of the solution to the meshless method with ridge basis functions |
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| WANG Zhi-gang,QIN Xin-qiang,DANG Fa-ning,SU Li-jun.The existence and uniqueness of the solution to the meshless method with ridge basis functions[J].Journal of Shandong University,2010,45(2):44-49. |
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| Authors: | WANG Zhi-gang QIN Xin-qiang DANG Fa-ning SU Li-jun |
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| Institution: | WANG Zhi-Gang, QIN Xin-Qiang, SU Li-Jun：School of Sciences, Xi′an University of Technology, Xi′an 710054,Shaanxi， China; DANG Fa-Ning： Institute of Water Resources and Hydro electric Engineering, Xi′an University of Technology, Xi′an 710048, Shaanxi， China |
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| Abstract: | A new mesbless method is introduced based on ridge basis functions and collocation method.This method is a trulymeshless technique without mesh discretization.The existence and uniqueness of the solution of elliptic equations with the meshless method is given.Acconrding to numerical example and analysis,it is seen that the method is feasible. |
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| Keywords: | meshless method ridge basis functions collocation method the existence and uniqueness of the solution |
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