A weak Galerkin mixed finite element method based on Crank-Nicolson scheme for the parabolic problems.

In this paper, we propose a weak Galerkin mixed finite element method (WG-MFEM) based on Crank-Nicolson discretization to solve parabolic problems. The basic idea to WG-MFEM is to apply discrete weak divergence operator which is locally defined on each element. Optimal order error estimates in H¹ norm and L² norm are derived. Finally, we discuss some numerical results to verify our theoretical findings. [ABSTRACT FROM AUTHOR]