Journal of Scientific Computing

, Volume 43, Issue 3, pp 416–432

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


    • School of MathematicsShandong University
  • Masahisa Tabata
    • Faculty of MathematicsKyushu University

DOI: 10.1007/s10915-009-9283-3

Cite this article as:
Rui, H. & Tabata, M. J Sci Comput (2010) 43: 416. doi:10.1007/s10915-009-9283-3


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.


Method of characteristics Mass-conservation Convection-diffusion Finite element Error estimates

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© Springer Science+Business Media, LLC 2009