基于弱Galerkin有限元离散的瀑布型多重网格算法  

Cascadic Multigrid Algorithm Based on Weak Galerkin Finite Element Discretization

作　　者：孙石[1] 黄自萍[1,2] 王琤[1] 

机构地区：[1]同济大学数学科学学院,上海200092 [2]同济大学中德学院,上海200092

出　　处：《同济大学学报（自然科学版）》2017年第6期936-940,共5页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金(11101311);中德教席基金(0900101021)

摘　　要：针对二阶椭圆型偏微分方程,给出了基于弱Galerkin有限元离散的瀑布型多重网格算法的能量误差估计和计算复杂度分析.最后数值实验验证了理论分析的正确性.A cascadic multigrid algorithm based on the weak Galerkin finite element discretization was analyzed for the second order elliptic partial differential equations. The estimation of the error in energy norm and the analysis of computational complexity were given. Finally, numerical experiments were conducted to verify the theoretical results.

关 键 词：弱Galerkin有限元 瀑布型多重网格方法 二阶椭圆型偏微分方程 

分 类 号：O241.82[理学—计算数学]