| 周小林.多维区域上椭圆型方程Dirichlet问题的勒让德多小波多层扩充算法[J].数学年刊A辑,2015,36(3):257~264 |
| 多维区域上椭圆型方程Dirichlet问题的勒让德多小波多层扩充算法 |
| Multilevel Augmentation Method for Dirichlet Problemof Multidimensional Elliptic EquationsUsing Legendre Multiwavelets |
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| DOI： |
| 中文关键词: 小波伽辽金方法, 勒让德多小波, 多层扩充算法 |
| 英文关键词:Wavelets-Galerkin methods, Legendre multiwavelets, Multilevel
augmentation method |
| 基金项目: |
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| 中文摘要: |
| 用小波伽辽金方法求解多维区域上椭圆型方程齐次Dirichlet问题, 构造了近似解空间的两个
等价的勒让德多小波基, 使得快速求解离散后的线性方程组的多层扩充算法得以实现. 数值算例
表明该算法是有效的. |
| 英文摘要: |
| The Wavelet-Galerkin method is applied to solve the Dirichlet problem of higher
dimensional elliptic equations. Two equivalent multiwavelet bases are constructed so that
the resulting linear system of equations can be solved efficiently by the multilevel augmen-
tation method. Numerical experiments show that this algorithm is efficient. |
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