Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes

  • Authors:

  • Konstantin Lipnikov;Jim Morel;Mikhail Shashkov

  • Affiliations:

  • Theoretical Division, T-7, Los Alamos National Laboratory, Mail Stop B284, Los Alamos, NM;Computer and Computational Sciences Division, CCS-2, Los Alamos National Laboratory, MS D409, Los Alamos, NM;Theoretical Division, T-7, Los Alamos National Laboratory, Mail Stop B284, Los Alamos, NM

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2004

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Abstract

Mimetic discretizations based on the support-operators methodology are derived for non-orthogonal locally refined quadrilateral meshes. The second-order convergence rate on non-smooth meshes is verified with numerical examples.