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A mimetic finite difference discretization for the incompressible Navier–Stokes equations
International Journal for Numerical Methods in Fluids, 2008AbstractThe results of a mimetic finite difference discretization of the three‐dimensional, incompressible Navier–Stokes equations are compared with more traditional finite difference schemes. The proposed method handles both momentum advection and diffusion in a vorticity‐preserving manner and allows for simple treatment of rigid wall boundary ...
ABBA', ANTONELLA, BONAVENTURA, LUCA
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A residual based error estimator for the Mimetic Finite Difference method
Numerische Mathematik, 2007The author presents a local error indicator for the mimetic finite difference method for diffusion problems on general polyhedral meshes. The diffusion problem is expressed as a system of a vector and a scalar field. The error indicator is defined elementwise from the local residual and the error due to the discretization of the right hand side of the ...
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Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics
Computer Methods in Applied Mechanics and Engineering, 2021Andrea Borio +2 more
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High-order mimetic finite-difference operators satisfying the extended Gauss divergence theorem
Journal of Computational and Applied Mathematics, 2020Jose E Castillo
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Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
SIAM Journal on Numerical Analysis, 2005Franco Brezzi +2 more
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Mimetic Finite Difference Methods for Convection-Dominated Problems
Communications to SIMAI Congress, 2006Andrea Cangiani +2 more
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