, Volume 43, Issue 3, pp 416-432
Date: 05 Mar 2009

A Mass-Conservative Characteristic Finite Element Scheme for Convection-Diffusion Problems

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Abstract

We develop a mass-conservative characteristic finite element scheme for convection diffusion problems. This scheme preserves the mass balance identity. It is proved that the scheme is essentially unconditionally stable and convergent with first order in time increment and k-th order in element size when the P k element is employed. Some numerical examples are presented to show the efficiency of the present scheme.