二维波动方程的加权平均隐格式及多重网格算法  

Multigrid solution based on weighted average implicit scheme of the 2-D wave equation

作　　者：葛永斌[1] 吴文权[1] 田振夫[2] 

机构地区：[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

出　　处：《上海理工大学学报》2002年第3期205-208,共4页Journal of University of Shanghai For Science and Technology

基　　金：国家自然科学基金资助项目(59876023)

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.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.

关 键 词：二维波动方程 加权平均隐式 多重网格 

分 类 号：O241.82[理学—计算数学]