Numerical experiments with a multiple grid and a preconditioned Lanczos type method
Numerical experiments with a multiple grid and a preconditioned Lanczos type method
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DOI：
10.1007/bfb0086930
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发表时间：
1980
期刊：
影响因子：
--
通讯作者：
P. Wesseling;P. Sonneveld
中科院分区：
文献类型：
--
作者：
P. Wesseling;P. Sonneveld
数值实验将描述两种方法，即多重网格方法（MG方法）和预处理Lanczos型方法（PIDR方法）的数值解的一般非自伴椭圆边值问题的差分格式。这些相对新颖的方法的兴趣在于，它们似乎比目前流行的方法更有效。我们的目的是调查这些方法的效率进行数值实验上的两个问题，是代表的问题，在工程应用中遇到的，即convectiondiffusion方程，和驱动腔问题的Navier-Stokes方程。
Numerical experiments will be described with two methods for the numerical solution of difference schemes for general non-self-adjoint elliptic boundary value problems, namely a multiple grid method (MG method) and a preconditioned Lanczos type method (PIDR method). The interest of these relatively novel methods lies in the fact, that they seem potentially to be significantly more efficient than the methods that are currently popular. Our purpose is to investigate the efficiency of these methods by carrying out numerical experiments on two problems that are representative of the sort of problem that is encountered in engineering applications, namely the convectiondiffusion equation, and the driven cavity problem for the Navier-Stokes equations.