Open AccessOn Upwind Galerkin Finite Element Method for Incompressible Flow of Contamination, from Nuclear Waste, in Porous Media
Author(s) -
Abbas Al-Bayati,
Saad A. Manaa,
Ekhlass S. Al-Rawi
Publication year - 2004
Publication title -
maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/al-rafidain journal for computer sciences and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2311-7990
pISSN - 1815-4816
DOI - 10.33899/csmj.2004.164114
Subject(s) - finite element method , galerkin method , compressibility , mathematics , porous medium , upwind scheme , mixed finite element method , extended finite element method , norm (philosophy) , mathematical analysis , mechanics , porosity , physics , thermodynamics , geotechnical engineering , engineering , political science , discretization , law
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 )) (
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