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

Mathematics

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