A modified weak Galerkin finite element method for a class of parabolic problems

作者：Gao Fuzheng^*; Wang Xiaoshen

来源：Journal of Computational and Applied Mathematics, 2014, 271: 1-19.

DOI：10.1016/j.cam.2014.03.028

• MWG-FEM
• Weak gradient
• Parabolic problem
• Error estimate

In this paper, we consider the solution of parabolic equation using the modified weak Galerkin finite element procedure, which is named as MWG-FEM, based on the conception of the modified weak derivative over discontinuous functions with heterogeneous properties, in which the classical gradient operator is replaced by a modified weak gradient operator. Optimal order error estimates in a discrete L-2 norm and H-1 norm are established for the corresponding modified weak Galerkin finite element solutions. Finally, we numerically verify the convergence theory for the MWG-FEM through some examples.

• 出版日期2014-12-1
• 单位山东大学