The Cascadic Multigrid Method of the Weak Galerkin Method for Second-Order Elliptic Equation

被引：1
|
作者：
Sun, Shi [1 ]
Huang, Ziping [1 ]
Wang, Cheng [1 ]
Guo, Liming [2 ]
机构：
[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
[2] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2017年 / 2017卷
基金：
美国国家科学基金会;
关键词：
FINITE-ELEMENT METHODS;
D O I：
10.1155/2017/7912845
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper is devoted to the analysis of the cascadic multigrid algorithm for solving the linear system arising from the weak Galerkin finite element method. The proposed cascadic multigrid method is optimal for conjugate gradient iteration and quasi-optimal for Jacobi, Gauss-Seidel, and Richardson iterations. Numerical results are also provided to validate our theoretical analysis.
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页数：8
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