在代数多重网格法中的新插值公式  

NEW INTERPOLATION FORMULA IN ALGEBRAIC MULTIGRID METHOD

作　　者：常谦顺[1] 李正锋[1] 

机构地区：[1]中国科学院应用数学所,北京邮政编码100080

出　　处：《计算物理》1990年第4期453-460,共8页Chinese Journal of Computational Physics

摘　　要：推导出代数多重网格法的一个新的插值公式。理论分析和数值计算表明这个公式很有效,且适用性强。推广了原代数多重网格法的应用范围,能够求解一些很病态的代数方程组。In this paper, we present a new interpolation formula of algebraic multigrid (AM G ). The AMG algorithm with this formula can solve many problems, even very ill-conditioned problems like biharmonic equation and convection-diffusion equation with discontinuous coefficient etc. The theoretical analysis and numerical experiments demonstrate that this formula is very robust and efficient, so we have extended the application range of AMG.

关 键 词：代数多重网格 插值公式 线性方程组 

分 类 号：O241.82[理学—计算数学]