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

نویسندگان

  • Franco Brezzi
  • L. Donatella Marini
  • Stefano Micheletti
  • Paola Pietra
  • Riccardo Sacco
چکیده

We consider a convection–diffusion–reaction problem, and we analyze a stabilized mixed finite volume scheme introduced in [23]. The scheme is presented in the format of Discontinuous Galerkin methods, and error bounds are given, proving O(h1/2) convergence in the L2-norm for the scalar variable, which is approximated with piecewise constant elements.

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عنوان ژورنال:
  • Computers & Mathematics with Applications

دوره 51  شماره 

صفحات  -

تاریخ انتشار 2006