Stability and error analysis of mixed finite-volume methods for advection dominated problems

摘要

We consider a convection-diffusion-reaction problem, and we analyze a stabilized mixed finite-volume scheme introduced in [1]. The scheme is presented in the format of discontinuous Galerkin methods, and error bounds are given, proving O(h(1/2)) convergence in the L-2-norm for the scalar variable, which is approximated with piecewise constant elements. (C) 2006 Elsevier Ltd. All rights reserved.