On Upwind Galerkin Finite Element Method for Incompressible Flow of Contamination, from Nuclear Waste, in Porous Media

Section: Research Paper
Issue
Vol. 1 No. 2 (2004): Volume 1 Issue 2
Pages
107-126

Abstract

Anon-linear parabolic system is derived to describe incompressible nuclear waste disposal contamination in porous media. Galerkin method is applied for the pressure equation. For the concentration, a kind of partial upwind finite element scheme is constructed. The finite element solution satisfies discrete maximum principle and converges to the solution in norm .

Keywords:

Galerkin method, A kind of partial upwind finite element scheme, Non-linear parabolic system

Authors

Ekhlass S. Al-Rawi

College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq

Abbas Y. Al-Bayati

College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq

Saad A. Manaa

College of Computer Sciences and Mathematics University of Mosul, Iraq

Identifiers

DOI: 10.33899/csmj.2004.164114

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On Upwind Galerkin Finite Element Method for Incompressible Flow of Contamination, from Nuclear Waste, in Porous Media. (2004). AL-Rafidain Journal of Computer Sciences and Mathematics, 1(2), 107-126. https://doi.org/10.33899/csmj.2004.164114
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How to Cite

On Upwind Galerkin Finite Element Method for Incompressible Flow of Contamination, from Nuclear Waste, in Porous Media. (2004). AL-Rafidain Journal of Computer Sciences and Mathematics, 1(2), 107-126. https://doi.org/10.33899/csmj.2004.164114