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High-order mimetic finite differences for anisotropic elliptic equations

Computers & Fluids, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Angel Boada, C. Paolini, J. Castillo
semanticscholar   +2 more sources

Mimetic Finite Difference Methods for Diffusion Equations

Computational Geosciences, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Hyman   +3 more
semanticscholar   +3 more sources

M-Adaptation in the mimetic finite difference method [PDF]

open access: possibleMathematical 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   +3 more
openaire   +1 more source

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
openaire   +3 more sources

Mimetic finite difference methods for restoration of fundus images for automatic detection of glaucoma suspects

Comput. methods Biomech. Biomed. Eng. Imaging Vis., 2021
Glaucoma is one of the leading causes of irreversible blindness in people over 40 years old. Previously, it was developed acomputational tool for automatic glaucoma detection, which implements anovel method that has shown improvement in the accuracy of ...
J. Villamizar   +6 more
semanticscholar   +1 more source

Elastic Mimetic Finite-differences in the Presence of Topography

Proceedings, 2013
Finite-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. Puente   +4 more
semanticscholar   +2 more sources

3D Seismic Modelling With Topography Using Mimetic Finite-Differences

SEG Technical Program Expanded Abstracts 2013, 2013
We 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.
J. Puente   +4 more
semanticscholar   +2 more sources

Mimetic finite-difference coupled-domain solver for anisotropic media

GEOPHYSICS, 2021
Accurately modeling full-wavefield solutions at and near the seafloor is challenging for conventional single-domain elastic finite-difference (FD) methods. Because they treat the fluid layer as a solid with zero shear-wave velocity, the energy partitioning for body and surface waves at the seafloor is distorted.
Harpreet Sethi   +2 more
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.
Hyman, James M., Shashkov, Mikhail
openaire   +2 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

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