, Volume 113, Issue 3, pp 325-356
Date: 28 May 2009

Convergence analysis of the high-order mimetic finite difference method

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We prove second-order convergence of the conservative variable and its flux in the high-order MFD method. The convergence results are proved for unstructured polyhedral meshes and full tensor diffusion coefficients. For the case of non-constant coefficients, we also develop a new family of high-order MFD methods. Theoretical result are confirmed through numerical experiments.