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A Unified Approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume Methods [PDF]
Mathematical Models and Methods in Applied Sciences, 2010 We investigate the connections between several recent methods for the discretization of anisotropic heterogeneous diffusion operators on general grids. We prove that the Mimetic Finite Difference scheme, the Hybrid Finite Volume scheme and the Mixed Finite Volume scheme are in fact identical up to some slight generalizations. As a consequence, some of
Jérôme Droniou +2 more
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Multiscale Finite Volume Method for Finite-Volume-Based Simulation of Poroelasticity
Journal of Computational Physics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hadi Hajibeygi
exaly +4 more sources
A hybrid Finite Integration–Finite Volume Scheme
Journal of Computational Physics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sascha M. Schnepp +2 more
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Extrapolation for Finite Volume Approximations
SIAM Journal on Scientific Computing, 2003In this paper, the extrapolation technique is applied to a finite volume method. Based on some asymptotic error expansions of finite volume solutions established in this paper, several extrapolation schemes are proposed for finite volume approximations to elliptic problems.
Xiuling Ma, Dong Mao, Aihui Zhou
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Isotropic finite volume discretization
Journal of Computational Physics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ratnesh K. Shukla, Pritam Giri
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A Multilevel Multiscale Finite Volume Method
Proceedings, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rouven Künze, Ivan Lunati, Seong H. Lee
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Haag’s theorem in a finite volume
Il Nuovo Cimento, 1960The question of extending Haag’s theorem to a finite volume is explored. A positive result is suggested.
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Volume rigidity for finite volume manifolds
American Journal of Mathematics, 2005We extend to finite volume manifolds some volume rigidity results of Besson-Courtois-Gallot. Our main result is a Volume Theorem which shows that proper maps from finite volume manifolds with Ricci curvature bounded from below to finite volume manifolds of pinched negative curvature decrease volume.
Boland, Jeffrey +2 more
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