A modified weak Galerkin finite element method

作者：Wang X; Malluwawadu N S; Gao F; McMillan T C^*

来源：Journal of Computational and Applied Mathematics, 2014, 271: 319-327.

DOI：10.1016/j.cam.2014.04.014

• Weak Galerkin
• Finite element

In this paper we introduce a new discrete weak gradient operator and a new weak Galerkin (WG) finite element method for second order Poisson equations based on this new operator. This newly defined discrete weak gradient operator allows us to use a single stabilizer which is similar to the one used in the discontinuous Galerkin (DG) methods without having to worry about choosing a sufficiently large parameter. In addition, we will establish the optimal convergence rates and validate the results with numerical examples.

• 出版日期2014-12-1
• 单位山东大学