Abstract
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 H 1 - and L 2 -norms. Numerical experiments are presented to illustrate the theoretical results.
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