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Keywords

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

Abstract

A non-linear parabolic system is derived to describe compressible nuclear waste disposal contamination in porous media . Galerkin method is applied for the pressure equation . For the concentration of the brine of the fluid, a kind of partial upwind finite element scheme is constructed. A numerical application is included to demonstrate certain aspects of the theory and illustrate the capabilities of the kind of partial upwind finite element approach.  
https://doi.org/10.33899/csmj.2008.163968
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