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From the Mimetic Finite Difference Method to the Virtual Element Method

Gianmarco Manzini
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The Mimetic Methods Toolkit: An object-oriented API for Mimetic Finite Differences

Journal of Computational and Applied Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eduardo J Sanchez, Christopher P Paolini, Jose E Castillo   +2 more
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A mimetic method for polygons

Journal of Computational Physics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Blair Perot, Chris Chartrand
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Mimetic finite difference method

Journal of Computational Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K Lipnikov, G Manzini, M Shashkov
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M-Adaptation in the mimetic finite difference method [PDF]

Mathematical Models and Methods in Applied Sciences, 2014
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, K. Lipnikov, G.Manzini, D. Svyatskiy   +3 more
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A mimetic Green element method

Engineering Analysis with Boundary Elements, 2019
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Rao, Xiang, Cheng, Linsong, Cao, Renyi, Zhang, Xiao, Dai, Dan   +4 more
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Mimetic Finite Difference Methods for Diffusion Equations

Computational Geosciences, 2002
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Hyman, J., Morel, J., Shashkov, M., Steinberg, S.   +3 more
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Higher-order mimetic methods for unstructured meshes

Journal of Computational Physics, 2006
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J Blair Perot
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Vertex-centered control-volume mimetic finite difference methods

Computers and Mathematics With Applications
Rainer Helmig, Martin Schneider, Ivan Yotov   +2 more
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