Mixed covolume method for parabolic problems on triangular grids

摘要

In this paper, we present a mixed covolume method for parabolic equations on triangular grids. This method use the lowest order Raviart-Thomas (R-T) mixed finite element space as the trial space. We prove the optimal order of convergence for the approximate pressure and velocity in L-2-norm. Furthermore, we obtain the quasi-optimal error estimates for the approximate pressure in L-infinity-norm.