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| 基于紧支径向基函数的局部径向点插值方法 | |
| 引用本文： | 高学军,朱一丁. 基于紧支径向基函数的局部径向点插值方法[J]. 安徽建筑工业学院学报, 2007, 15(3): 86-90. DOI: 10.3969/j.issn.1006-4540.2007.03.024 |
| 作者姓名： | 高学军 朱一丁 |
| 作者单位： | 1. 安徽建筑工业学院土木工程系,合肥,230022;西南交通大学应用力学与工程系,成都,610031;2. 宁夏大学土木与水利工程学院,银川,750021 |
| 基金项目： | 安徽建筑工业学院科研基金资助项目(04-06) |
| 摘 要： | 文章对紧支径向基函数进行完备性修正,利用完备性修正的紧支径向基函数,并结合局部残差的思想,建立了局部径向点插值方法.由于该方法中的插值函数满足Delta函数性质,因此本质边界条件可以像传统的有限元方法一样容易施加,在计算过程中不需要积分网格,是一种"纯无网格方法".将该方法用于二维弹性静力问题的求解,导出其相应的离散方程.数值算例初步验证了该方法的有效性与合理性. |
| 关 键 词： | 无网格 径向基函数 点插值方法 |
| 文章编号： | 1006-4540（2007）03-086-05 |
| 修稿时间： | 2006-09-07 |
Local radial point interpolation method based on compactly supported radial basis functions |
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| GAO Xue-jun , ZHU Yi-ding. Local radial point interpolation method based on compactly supported radial basis functions[J]. Journal of Anhui Institute of Architecture(Natural Science), 2007, 15(3): 86-90. DOI: 10.3969/j.issn.1006-4540.2007.03.024 | |
| Authors: | GAO Xue-jun ZHU Yi-ding |
| Affiliation: | GAO Xue-jun , ZHU Yi-ding (1. Department of Civil Engineering, Anhui Institute of Architecture ＆ Industry, Hefei 230022, China;2. Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China;3. School of Civil and Water Conservancy Engineering, Ningxia University, Yanchuan 750021, China) |
| Abstract: | The paper proposes a technique to modify CSRBFs based on completeness.The modified CSRBFs and the local residual idea are used to construct local radial point interpolation method.Furthermore,its interpolation functions have the property of delta functions and the essential boundary conditions can be applied as easy as in conventional finite element method(FEM),and the background cells are not required in computation.Thus it is a truly meshless method.In addition,the method is also used to deal with two-dimensional static problems and the discrete equation can be easily obtained.The numerical results demonstrate that the proposed method is accurate,convenient and efficient. |
| Keywords: | meshless method radial basis functions point interpolation method |
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