convergence analysis on unstructured meshes of a ddfv method for flow problems with full neumann boundary conditions

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ID: 221419
2016
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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.
Reference Key
jeutsa2016journalconvergence Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;A. Kinfack Jeutsa;A. Njifenjou;J. Nganhou
Journal Chemico-biological interactions
Year 2016
DOI
10.1155/2016/5891064
URL
http://dx.doi.org/10.1155/2016/5891064
Keywords
mathematics

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