Mortar finite volume element method with Crouzeix–Raviart element for parabolic problems

In this paper, we consider a semi-discrete mortar finite volume element method for two-dimensional parabolic problems. This method is based on the mortar Crouzeix–Raviart non-conforming finite element space. It is proved that the mortar finite volume element approximations derived are convergent with the optimal order in the H1- and L2-norms. Numerical experiments are presented to illustrate the theoretical results.