解椭圆差分方程的SSOR方法的松弛因子选择

A Selection of Relaxation on Solving Elliptic Diffrence Equations by SSOR Method

本文在文〔1〕的基础上,给出了SSOR方法的一种新的松弛因子选择方法。特别地,讨论了双调和边值问题的松驰因子选择,使其收敛速度的阶得到提高。

Solving elliptic difference equations by SSOR method has the advantage of making use of accelerated technique.This paper discusses a selection of relaxation by method. SSOR method is written in the form alternating direction method. After that, technique of alternating cirection method is used to select relaxation. In particular, it discusses How to select relaxation for a bi-harmonie equation. This makes it possible to raise the order of convergent rate.