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Mimetic spectral element methods

AIP Conference Proceedings, 2015
Mimetic spectral element methods are arbitrary order methods which aim to mimic the underlying physical structure of a PDE. This is best accomplished in terms of differential geometry in which the physical variables are considered as differential k-forms. At the discrete level, the system is represented by k-cochains from algebraic topology.
openaire   +1 more source

The Orthogonal Decomposition Theorems for Mimetic Finite Difference Methods

SIAM Journal on Numerical Analysis, 1999
Summary: 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.
James M Hyman, Mikhail J Shashkov
exaly   +3 more sources

Nodal Mimetic Finite Difference Methods

2018
GDMs are obtained from the nodal mimetic finite differences methods, and also cover some DDFV schemes.
Jérôme Droniou   +4 more
openaire   +1 more source

A Method for the Generation of Glycoprotein Mimetics

Journal of the American Chemical Society, 2003
A general method for preparing glycoprotein mimetics with defined glycan structure using the Z domain protein as an example is reported. An unnatural amino acid containing the keto group was site-specifically incorporated into a target protein, Z domain, in response to the amber nonsense codon with high translational fidelity and efficiency.
Haitian, Liu   +4 more
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The mimetic multiscale method for Maxwell’s equations

GEOPHYSICS, 2018
We have developed a mimetic multiscale method to simulate quasistatic Maxwell’s equations in the frequency domain. This is especially useful for extensive geophysical models that include small-scale features. Applying the concept of multiscale methods, we avoid setting up a large and costly system of equations on the fine mesh where the material ...
Wenke Wilhelms   +3 more
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Energy preserving high order mimetic methods for Hamiltonian equations

open access: yesComputers and Fluids
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jose E Castillo
exaly   +2 more sources

Foundations of mimetic finite difference method

2014
The 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
openaire   +1 more source

The Mimetic Finite Difference Method for Elliptic Problems

2014
This 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
openaire   +5 more sources

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
openaire   +1 more source

Benchmark 3D: A Mimetic Finite Difference Method

2011
In 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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