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Nodal Mimetic Finite Difference Methods
2018GDMs are obtained from the nodal mimetic finite differences methods, and also cover some DDFV schemes.
Jérôme Droniou +4 more
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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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Mimetic finite differences for boundaries misaligned with grid nodes
Journal of Computational and Applied Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Danila Belousov, Vadim Lisitsa
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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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High-order mimetic finite differences for anisotropic elliptic equations
Computers & Fluids, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boada, Angel +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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Elastic Mimetic Finite-differences in the Presence of Topography
Proceedings, 2013Finite-differences (FD) are the most popular schemes for seismic modelling. For elastic problems, staggered-grid FD offers many advantages in terms of accuracy and efficiency. However, FD methods typically struggle at modelling seismic waves in the presence of a non-flat topography.
J. de la Puente +4 more
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3D seismic modelling with topography using mimetic finite differences
SEG Technical Program Expanded Abstracts 2013, 2013We present a novel FD scheme which can solve accurately elastic wave propagation in the presence of topography in 3D. It is based upon a Fully Staggered Grid and employs grid deformation and mimetic operators to obtain results with very few points per wavelength when compared to other similar approaches.
Josep de la Puente +4 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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