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 L2-norm for the scalar variable, which is approximated with piecewise constant elements.
Stability and error analysis of mixed finite volume methods for advection dominated problems
MICHELETTI, STEFANO;SACCO, RICCARDO
2006-01-01
Abstract
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 L2-norm for the scalar variable, which is approximated with piecewise constant elements.File in questo prodotto:
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