Results 131 to 140 of about 14,304 (157)

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, K. Linikov, G. Manzini   +2 more
openaire   +5 more sources

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, Olaf Ippisch, Sven Marnach   +2 more
openaire   +1 more source

Benchmark 3D: Mimetic Finite Difference Method for Generalized Polyhedral Meshes

2011
Let ? 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
openaire   +2 more sources

Convergence analysis of the high-order mimetic finite difference method

Numerische Mathematik, 2009
The paper deals with the numerical solution of a second order elliptic problem with the aid of the mimetic finite difference (MFD) method. The elliptic operator has to be strongly elliptic. The author proves a priori error estimates, namely the second order of convergence of the conservative variable and its flux.
Beirao da Veiga, L., Lipnikov K., Manzini G.   +3 more
openaire   +1 more source

A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES

Mathematical Models and Methods in Applied Sciences, 2005
A family of inexpensive discretization schemes for diffusion problems on unstructured polygonal and polyhedral meshes is introduced. The material properties are described by a full tensor. The theoretical results are confirmed with numerical experiments.
F. Brezzi, K. Lipnikov, SIMONCINI, VALERIA   +2 more
openaire   +4 more sources

A residual based error estimator for the Mimetic Finite Difference method

Numerische Mathematik, 2007
The author presents a local error indicator for the mimetic finite difference method for diffusion problems on general polyhedral meshes. The diffusion problem is expressed as a system of a vector and a scalar field. The error indicator is defined elementwise from the local residual and the error due to the discretization of the right hand side of the ...
openaire   +2 more sources

Adaptive Dynamic Grids and Mimetic Finite Difference Method for Miscible Displacement Problem

Lobachevskii Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abushaikha, A., Terekhov, K
openaire   +2 more sources

An implementation of mimetic finite difference method for fractured reservoirs using a fully implicit approach and discrete fracture models

Journal of Computational Physics, 2021
Ahmad S Abushaikha
exaly  

Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics

Computer Methods in Applied Mechanics and Engineering, 2021
Andrea Borio, Joshua A White, Nicola Castelletto   +2 more
exaly  

Forward modelling of gravity data on unstructured grids using an adaptive mimetic finite-difference method

Journal of Applied Geophysics, 2021
Hormoz Jahandari
exaly