| 用基于紧支径向基函数的无网格法求解非齐次方程 |
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| 引用本文： | 杨芬,魏玉明. 用基于紧支径向基函数的无网格法求解非齐次方程[J]. 广州大学学报(自然科学版), 2009, 8(3) |
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| 作者姓名： | 杨芬 魏玉明 |
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| 作者单位： | 常德职业技术学院应用工程系,湖南,常德,415000;常德职业技术学院应用工程系,湖南,常德,415000 |
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| 摘 要： | 将边界节点法(BNM)中的移动最小二乘近似方案用紧支径向基函数(CSRBF)代替,解决了BNM中本质边界条件较难处理的问题.用CSRBF逼近非齐次方程的特解,相应的齐次解用改进的BNM表示,发展了一种基于CSRBF的求解非齐次问题的无网格法.数值算例验证了该方法的可行性和有效性.
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| 关 键 词： | 边界节点法 紧支径向基函数 无网格法 |
A meshless method based on compactly supported radial basis functions for inhomogeneous problems |
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| YANG Fen,WEI Yu-ming. A meshless method based on compactly supported radial basis functions for inhomogeneous problems[J]. Journal og Guangzhou University:Natural Science Edition, 2009, 8(3) |
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| Authors: | YANG Fen WEI Yu-ming |
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| Affiliation: | Dept of Application Engineering;Changde Vocational Technical College;Changde 415000;China |
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| Abstract: | A boundary-type meshless method based on boundary node method (BNM) was presented,in which compactly supported radial basis functions (CSRBFs) instead of the moving least-square scheme were used to construct the interpolation of unknown function on nodes,this modification overcomes the problem of treating boundary conditions in BNM. In addition,this method was applied to Poisson's problem,the solution of which can be decomposed into a particular solution and a solution of Laplace's problem. The particular s... |
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| Keywords: | boundary node method compactly supported radial basis function meshless method |
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