We consider a convection-diffusion-reaction problem, and we analyze a stabilized mixed finite-volume scheme introduced in S. Micheletti, R. Sacco and F. Saleri (2001). 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.
Stability and error analysis of mixed finite volume methods for advection dominated problems
Brezzi F;Marini LD;Pietra P;
2006
Abstract
We consider a convection-diffusion-reaction problem, and we analyze a stabilized mixed finite-volume scheme introduced in S. Micheletti, R. Sacco and F. Saleri (2001). 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.File in questo prodotto:
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Descrizione: Stability and error analysis of mixed finite volume methods for advection dominated problems
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