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多重网格插值算子的改进算法 被引量:3

AN IMPROVED ALGORITHM FOR THE MG INTERPOLATION OPERATOR
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摘要 本文在多重网格法Gauss-Seidel型插值算子的基础上,再用Jacobi松弛予以修正得到高精度算法,多重网格法的两层收敛性也获得了证明,数值例子进一步证实了新算法的效率。 In this paper, based on Gauss-Seidel-type interpolation operator, an improved MG algorithm with high accuracy is obtained by performing Jacobi relaxation. We prove the two-level convergence of new MG method, and numerical examples further demonstrate the efficiency of new algorithm.
出处 《应用数学学报》 CSCD 北大核心 2003年第3期443-450,共8页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(19931030号)
关键词 多重网格 Gauss-Seidel型插值算子 Jacobi松弛 偏微分方程 两层收敛性 Multigrid methods, Gauss-Seidel solution, Jacobi relaxation, interpolation operator, asymptotic convergence rate
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