Mimetic Finite Difference Methods forConvection-Dominated Problems

Andrea Cangiani, Franco Brezzi, Marco Manzini

Abstract


We present a mimetic finite difference (MFD) method for the
stable numerical solution of stationary convection-dominated diffusion problems.
The superconvergence properties of MFD methods are also discussed.
A crucial property of mimetic finite differences is that they can be defined on
very general (e.g. non-convex and non-matching) polyhedral meshes. This
fact will be illustrated through extencive numerical examples.

[DOI: 10.1685/CSC06034] About DOI

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DOI: http://dx.doi.org/10.1685/




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