Cascadic Multigrid Algorithm Based on Weak Galerkin Finite Element Discretization

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