Abstract

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.

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