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

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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. © 2004 Elsevier Inc. All rights reserved.

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Lipnikov, K., Morel, J., & Shashkov, M. (2004). Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes. Journal of Computational Physics, 199(2), 589–597. https://doi.org/10.1016/j.jcp.2004.02.016

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