Convergence of a kind of partial upwind finite element method for compressible flow of contamination from nuclear waste in porous media

Abstract EN

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 and a kinf of partial upwind finite element scheme is contructed for the concentration of the brune of the fluid, the trace concentration of the ith radionuclide and the temprature of the fluid.

this methods satisfies the discrete maximum principle and converges to the solution in norm(L^∞ ) (0,T,L^(2 ) (Ω)