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Mimetic finite difference method
Journal of Computational Physics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K Lipnikov, G Manzini, M Shashkov
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The Orthogonal Decomposition Theorems for Mimetic Finite Difference Methods
SIAM Journal on Numerical Analysis, 1999Summary: Accurate discrete analogs of differential operators that satisfy the identities and theorems of vector and tensor calculus provide reliable finite difference methods for approximating the solutions to a wide class of partial differential equations.
Hyman, James M., Shashkov, Mikhail
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Flux reconstruction and solution post-processing in mimetic finite difference methods
Computer Methods in Applied Mechanics and Engineering, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cangiani, A., Manzini, G. M.
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M-Adaptation in the mimetic finite difference method [PDF]
The mimetic finite difference method produces a family of schemes with equivalent properties such as the stencil size, stability region, and convergence order. Each member of this family is defined by a set of parameters which can be chosen locally for every mesh element. The number of parameters depends on the geometry of a particular mesh element. M-
V. Gyrya +3 more
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Mimetic Finite Difference Methods for Diffusion Equations
Computational Geosciences, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hyman, J. +3 more
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Mimetic finite-difference coupled-domain solver for anisotropic media
GEOPHYSICS, 2021Accurately modeling full-wavefield solutions at and near the seafloor is challenging for conventional single-domain elastic finite-difference (FD) methods. Because they treat the fluid layer as a solid with zero shear-wave velocity, the energy partitioning for body and surface waves at the seafloor is distorted.
Harpreet Sethi +2 more
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