三角反对称光滑子多重网格法的Fourier分析(英文)  

Fourier analysis of multigrid method with triangular skew-symmetric smoothers

作　　者：MURATOVA G V KRUKIER L A ANDREEVA E M 

机构地区：[1]南部联邦大学

出　　处：《应用数学与计算数学学报》2013年第3期355-362,共8页Communication on Applied Mathematics and Computation

基　　金：Project supported by the Russian Foundation for Basic Research(11-01-91150-GFEN-a,12-01-90820)

摘　　要：考虑三角反对称光滑子多重网格法的局部Fourier分析.构造三角反对称迭代法作为多重网格法的光滑子,用于求解由对流占优扩散方程有限差分逼近导出的具有强非对称性矩阵的线性代数方程组.The local Fourier analysis （LFA） of the multigrid method with trian- gular skew-symmetric smoothers is considered. Specially created triangular skew- symmetric iterative methods have been used as the smoothers of the multigrid method for the solution of algebraic system of linear equations with a strongly nonsymmetric matrix obtained from the finite difference approximation of the convection-diffusion equation with dominant convection.

关 键 词：多重网格法 FOURIER分析 光滑子 三角迭代法 

分 类 号：O241.3[理学—计算数学]