Mimetic Finite Difference Methods forConvection-Dominated Problems

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  • Andrea Cangiani
  • Franco Brezzi
  • Marco Manzini

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https://doi.org/10.1685/

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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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2007-10-01

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