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

Authors:
Chunjia Bi;Wenbin Chen
Affiliations:
Department of Mathematics, Yantai University, Shandong, 264005, PR China;School of Mathematical Science, Fudan University, Shanghai, 200433, PR China
Venue:
Applied Numerical Mathematics
Year:
2008

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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.