Convergence Analysis on Unstructured Meshes of a DDFV Method for Flow Problems with Full Neumann Boundary Conditions
Joint Authors
Kinfack Jeutsa, A.
Njifenjou, A.
Nganhou, J.
Source
Journal of Applied Mathematics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-18
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
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 L 2 -norm), are investigated.
Numerical test is provided.
American Psychological Association (APA)
Kinfack Jeutsa, A.& Njifenjou, A.& Nganhou, J.. 2016. Convergence Analysis on Unstructured Meshes of a DDFV Method for Flow Problems with Full Neumann Boundary Conditions. Journal of Applied Mathematics،Vol. 2016, no. 2016, pp.1-22.
https://search.emarefa.net/detail/BIM-1107225
Modern Language Association (MLA)
Kinfack Jeutsa, A.…[et al.]. Convergence Analysis on Unstructured Meshes of a DDFV Method for Flow Problems with Full Neumann Boundary Conditions. Journal of Applied Mathematics No. 2016 (2016), pp.1-22.
https://search.emarefa.net/detail/BIM-1107225
American Medical Association (AMA)
Kinfack Jeutsa, A.& Njifenjou, A.& Nganhou, J.. Convergence Analysis on Unstructured Meshes of a DDFV Method for Flow Problems with Full Neumann Boundary Conditions. Journal of Applied Mathematics. 2016. Vol. 2016, no. 2016, pp.1-22.
https://search.emarefa.net/detail/BIM-1107225
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1107225