| Daubechies小波有限元法联系系数计算研究 |
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| 引用本文： | 陈雅琴,张宏光,党发宁.Daubechies小波有限元法联系系数计算研究[J].西安理工大学学报,2011,27(2). |
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| 作者姓名： | 陈雅琴 张宏光 党发宁 |
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| 作者单位： | 1. 西安理工大学岩土工程研究所,陕西西安,710048
2. 长安大学公路学院,陕西西安,710064 |
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| 基金项目： | 国家自然科学基金资助项目(51008247) |
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| 摘 要： | 针对Daubechies小波有限元法的联系系数计算精度不足这一问题,首先推导了Daubechies小波有限元法中常用联系系数的计算公式,分析了导致联系系数计算精度不足的主要原因,并首次尝试将最小二乘法引入Daubechies小波有限元法联系系数的计算中,求解所得超定方程组可得联系系数值。实例结果表明,此法可有效提高Daubechies小波有限元法联系系数的计算精度。
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| 关 键 词： | Daubechies小波 联系系数 小波有限元法 最小二乘法 |
Research on Connection Coefficient Computation in Daubechies Wavelet Finite Element Method |
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| CHEN Yaqin,ZHANG Hongguang,DANG Faning.Research on Connection Coefficient Computation in Daubechies Wavelet Finite Element Method[J].Journal of Xi'an University of Technology,2011,27(2). |
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| Authors: | CHEN Yaqin ZHANG Hongguang DANG Faning |
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| Institution: | CHEN Yaqin1,ZHANG Hongguang2,DANG Faning1(1.Institute of Geotechnical Engineering,Xi'an University of Technology,Xi'an 710048,China,2.School of Highway,Chang'an University,Xi'an 710064,China) |
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| Abstract: | With the aim of solving to the problem of low computation accuracy of connection coefficients in Daubechies wavelet Finite Element Method,the calculation formulas of connection coefficients commonly used in Daubechies wavelet Finite Element Method are infered firstly,and the major cause leading to low computation accuracy of connection coefficients is analyzed.And then the least square method is employed in the computation of connection coefficients in Daubechies wavelet Finite Element Method for the first ... |
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| Keywords: | Daubechies wavelet connection coefficient wavelet finite element method the least square method |
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