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2016 Convergence Analysis on Quadrilateral Grids of a DDFV Method for Subsurface Flow Problems in Anisotropic Heterogeneous Porous Media with Full Neumann Boundary Conditions
A. Kinfack Jeutsa, A. Njifenjou, J. Nganhou
Afr. Diaspora J. Math. (N.S.) 19(2): 1-28 (2016).

Abstract

Our purpose in this paper is to present a theoretical analysis of the Discrete Duality Finite Volume method (DDFV method) for 2D-flow problems in anisotropic heterogeneous porous media with full Neumann boundary conditions. We start with the derivation of the discrete problem, and then we give a result of existence and uniqueness of a solution for that problem. Their theoretical properties, namely stability and error estimates in discrete energy norms and $L^2$-norm are investigated. Numerical tests are provided.

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A. Kinfack Jeutsa. A. Njifenjou. J. Nganhou. "Convergence Analysis on Quadrilateral Grids of a DDFV Method for Subsurface Flow Problems in Anisotropic Heterogeneous Porous Media with Full Neumann Boundary Conditions." Afr. Diaspora J. Math. (N.S.) 19 (2) 1 - 28, 2016.

Information

Published: 2016
First available in Project Euclid: 10 December 2016

zbMATH: 06667787
MathSciNet: MR3557741

Subjects:
Primary: 35J65, 65N12, 65N15, 74S10

Rights: Copyright © 2016 Mathematical Research Publishers

JOURNAL ARTICLE
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Vol.19 • No. 2 • 2016
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