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. © Springer-Verlag 2009.
BEIRAO DA VEIGA, L., Lipnikov, K., Manzini, G. (2009). Convergence analysis of the high-order mimetic finite difference method. NUMERISCHE MATHEMATIK, 113(3), 325-356 [10.1007/s00211-009-0234-6].
Convergence analysis of the high-order mimetic finite difference method
BEIRAO DA VEIGA, LOURENCOPrimo
;
2009
Abstract
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. © Springer-Verlag 2009.
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