| PESEDOSPECTRAL-MULTIWAVELET-GALERKIN METHOD FOR ADVECTION-DIFFUSION PROBLEM WITH COMPLEX BOUNDARY |
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| 作者姓名： | Wu Boying
Wang Li
Feng Guotai
School of Energy Science
and Engineering Harbin Institute of Technology Harbin China |
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| 作者单位： | Wu Boying
Wang Li
Feng Guotai
School of Energy Science
and Engineering，Harbin Institute of Technology，Harbin 150001，China |
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| 基金项目： | This project is supported by National Natural Science Foundation of China(No. 19971020)，Multidiseipline Scientific Research Foundation of Harbin Institute of Technology, China(No.HIT.MD2001.26). |
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| 摘 要： | The element of pesedospectral-multiwavelet-Galerkin method, and how to combine it with penalty method for treating boundary conditions are given. Multiwavelet bases don't overlap on the given scale, and possess the same compact set in a group of several functions, so they can be directly used to the numerical discretion on the finite interval. Numerical tests show that general boundary conditions can be enforced with the penalty method, and that pesedospectral-multiwavelet-Galerkin method can well track the solutions' development. This also proves that pesedospec-tral-multiwavelet-Galerkin method is effective.
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| 关 键 词： | 平流 扩散 小波分析 频谱分析 复合边界 |
PESEDOSPECTRAL-MU LTIWAVELET-GALERKIN METHOD FOR ADVECTION-DIFFUSION PROBLEM WITH COMPLEX BOUNDARY |
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| Wu Boying
Wang Li
Feng Guotai
School of Energy Science
and Engineering,Harbin Institute of Technology,Harbin ,China.PESEDOSPECTRAL-MULTIWAVELET-GALERKIN METHOD FOR ADVECTION-DIFFUSION PROBLEM WITH COMPLEX BOUNDARY[J].Chinese Journal of Mechanical Engineering,2004,17(1):16-19. |
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| Authors: | WuBoying WangLi FengGuotai |
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| Affiliation: | SchoolofEnergyScienceandEngineering,HarbinInstituteofTechnology,Harbin150001,China |
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| Abstract: | The element of pesedospectral-multiwavelet-Galerkin method, and how to combine it with penalty method for treating boundary conditions are given. Multiwavelet bases don't overlap on the given scale, and possess the same compact set in a group of several functions, so they can be directly used to the numerical discretion on the finite interval. Numerical tests show that general boundary conditions can be enforced with the penalty method, and that pesedospectral-multiwavelet-Galerkin method can well track the solutions' development. This also proves that pesedospec-tral-multiwavelet-Galerkin method is effective. |
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| Keywords: | Multiwavelet's multiresolution analysis Advection-diffusion equationsSemigroup method Penalty method Pesedospectral-multiwavelet-Galerkin method |
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