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;
2006-01-01
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:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
