| 二维波动方程的加权平均隐格式及多重网格算法 |
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| 引用本文： | 葛永斌,吴文权,田振夫.二维波动方程的加权平均隐格式及多重网格算法[J].上海理工大学学报(社会科学版),2002,24(3):205-208. |
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| 作者姓名： | 葛永斌 吴文权 田振夫 |
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| 作者单位： | [1]上海理工大学动力工程学院，上海200093 [2]上海大学上海市应用数学和力学研究所，上海200072 |
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| 基金项目： | 国家自然科学基金资助项目(59876023) |
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| 摘 要： | 提出了数值求解二维波动方程的一种加权平均隐式差分格式，理论分析结果表明其为无条件稳定的，为了克服传统迭代法在求解隐格式方面的困难，采用了多重网格算法，大大加快了迭代收敛速度，提高了求解效率，数值实验结果验证了方法的有效性和可靠性。
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| 关 键 词： | 二维波动方程 加权平均隐式 多重网格 |
Multigrid solution based on weighted average implicit scheme of the 2-D wave equation |
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| GE Yong-bin,WU Wen-quan,TIAN Zhen-fu.Multigrid solution based on weighted average implicit scheme of the 2-D wave equation[J].Journal of University of Shanghai For Science and Technilogy(Social Science),2002,24(3):205-208. |
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| Authors: | GE Yong-bin WU Wen-quan TIAN Zhen-fu |
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| Abstract: | A weighted average implicit difference scheme for the two-dimensional wave equation is proposed and its unconditional stability is proved by use of Fourier analysis. A multigrid method is employed to overcome the difficulties when traditional relaxation methods are used to treat the implicit difference schemes and a fast solution is obtaioned. Numerical results prove its efficiency and dependability. |
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| Keywords: | wave equation weighted average implicit scheme multigrid |
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