节点文献
频域波动方程数值解的一种多重网格方法
A Multigrid Method for the Solution of Wave Equations in the Frequency Domain
【摘要】 将近年发展起来的多重网格方法应用于频域波动方程的数值求解,数值算例说明多重网格方法是一种最优阶算法,适宜于处理频域波动方程。最后指出了多重网格方法与微分方程数值解的小波方法的区别。
【Abstract】 The multigrid method was applied to the numerical solution of wave equation in the frequency domain. Numerical experiments and comparisons with other classical methods showed that the multigrid method is an a gorithm of optimal order.Finally the difference between multigrid methods and wavelet methods for the solution of partial differential equations was pointed out.
【关键词】 波动方程;
多重网格方法;
粗网校正;
细网松弛;
小波方法;
【Key words】 Wave equation; multigrid method; wavelet method; relaxation on fine grid; correction on coarse gridQian Jianliang, postgraguate student majoring in the Computational Mathematics,research interests includingnumerical analysis for inverse problems of PDE’s,s;
【Key words】 Wave equation; multigrid method; wavelet method; relaxation on fine grid; correction on coarse gridQian Jianliang, postgraguate student majoring in the Computational Mathematics,research interests includingnumerical analysis for inverse problems of PDE’s,s;
【基金】 国家自然科学基金
- 【文献出处】 哈尔滨工业大学学报 ,JOURNAL OF HARBIN INSTITUTE OF TECHNOLOGY , 编辑部邮箱 ,1996年02期
- 【分类号】O302
- 【被引频次】6
- 【下载频次】160