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2016 Convergence Analysis on Unstructured Meshes of a DDFV Method for Flow Problems with Full Neumann Boundary Conditions
A. Kinfack Jeutsa, A. Njifenjou, J. Nganhou
J. Appl. Math. 2016: 1-22 (2016). DOI: 10.1155/2016/5891064

Abstract

A Discrete Duality Finite Volume (DDFV) method to solve on unstructured meshes the flow problems in anisotropic nonhomogeneous porous media with full Neumann boundary conditions is proposed in the present work. We start with the derivation of the discrete problem. A result of existence and uniqueness of a solution for that problem is given thanks to the properties of its associated matrix combined with adequate assumptions on data. Their theoretical properties, namely, stability and error estimates (in discrete energy norms and L2-norm), are investigated. Numerical test is provided.

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A. Kinfack Jeutsa. A. Njifenjou. J. Nganhou. "Convergence Analysis on Unstructured Meshes of a DDFV Method for Flow Problems with Full Neumann Boundary Conditions." J. Appl. Math. 2016 1 - 22, 2016. https://doi.org/10.1155/2016/5891064

Information

Received: 9 February 2016; Revised: 13 June 2016; Accepted: 12 July 2016; Published: 2016
First available in Project Euclid: 17 December 2016

zbMATH: 06667787
MathSciNet: MR3553275
Digital Object Identifier: 10.1155/2016/5891064

Rights: Copyright © 2016 Hindawi

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