摘要
§1.松弛方法 我们讨论二阶自共轭椭圆型方程的Dirichlet问题.设Ω?R2为一多边形区域. a（u,v）=（f,v）,v∈H01（Ω）,f∈H-1（Ω）, u∈H01（Ω）是定义在其上的边值问题的变分形式,这里取齐次边界条件仅为叙述问题方便.双线性型a（·。
One of the techniques for accelerating the convergence of the Schwarz alternating me-thod is the pseudo-boundary relaxation. Evans, Kang et al. proposed a pseudo-boundary re-laxation procedure and analysed its convergence for model problems[1]. In this paper a morenatural pseudo-boundary relaxation. procedure s proposed and it is shown to have smaller con-vergence factor than the method proposed in [1] for general self-adjoint ellipic problems.
出处
《计算数学》
CSCD
北大核心
1992年第4期460-466,共7页
Mathematica Numerica Sinica
