Results 141 to 150 of about 263,258 (175)
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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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Geoelectric data modeling using Mimetic Finite Difference Method
2022<p><span>Nondestructive imaging and monitoring of the earth's subsurface using the geoelectric method require reliable and versatile numerical techniques for solving differential equation that govern the method's physic.
Deepak Suryavanshi, Rahul Dehiya
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Foundations of mimetic finite difference method
2014The mimetic discretization technology relies on a discrete vector and tensor calculus (DVTC) that deals with discrete fields and discrete operators. The DVTC makes it possible to reproduce (or mimic) fundamental identities of continuum calculus, such as kernels of operators (see Sect. 2.6) and the Helmholtz decomposition theorems (see Sect.
Lourenço Beirão da Veiga +2 more
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The Mimetic Finite Difference Method for Elliptic Problems
2014This book offers a systematic and thorough examination of theoretical and computational aspects of the modem mimetic finite difference (MFD) method. The MFD method preserves or mimics underlying properties of physical and mathematical models, thereby improving the fidelity and predictive capability of computer simulations.
L. Beirao da Veiga +2 more
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Benchmark 3D: A Mimetic Finite Difference Method
2011In the two-dimensional discretisation benchmark session at the FVCA5 conference, we participated with a Mimetic Finite Difference (MFD) method [7]. In this paper, we present results for the three-dimensional case using the same method. Since the previous conference, the equivalence of MFD, Hybrid Finite Volume and Mixed Finite Volume methods has been ...
Peter Bastian +2 more
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Modeling 3-D anisotropic elastodynamics using mimetic finite differences and fully staggered grids
Computational Geosciences, 2023Harpreet Sethi +3 more
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GPU-based 3D anisotropic elastic modeling using mimetic finite differences
Second International Meeting for Applied Geoscience & Energy, 2022Harpreet Singh +3 more
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Benchmark 3D: Mimetic Finite Difference Method for Generalized Polyhedral Meshes
2011Let ? be a subset of R3 with a Lipschitz continuous boundary. We consider the mixed (velocity-pressure) formulation of the diffusion problem.
K Lipnikov, G Manzini
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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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Uniform Poincaré inequalities for the discrete de Rham complex of differential forms
arXiv.orgIn this paper we prove discrete Poincar\'e inequalities that are uniform in the mesh size for the discrete de Rham complex of differential forms developed in [Bonaldi, Di Pietro, Droniou, and Hu, An exterior calculus framework for polytopal methods, J ...
Daniele A. Di Pietro +3 more
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