Journal of Scientific Computing

, Volume 43, Issue 3, pp 416–432

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


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 Pk element is employed. Some numerical examples are presented to show the efficiency of the present scheme.


Method of characteristicsMass-conservationConvection-diffusionFinite elementError estimates

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.School of MathematicsShandong UniversityJinanChina
  2. 2.Faculty of MathematicsKyushu UniversityFukuokaJapan