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

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.

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

Abstract:

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.

Key words:weak Galerkin finite element; cascadic multigrid method; second order elliptic partial differential equations