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.
出处
《上海理工大学学报》
CAS
北大核心
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)
