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GALERKIN METHOD FOR COMPRESSIBLE FLOW OF CONTAMINATION FROM NUCLEAR WASTE WITH MOLECULAR DIFFUSION AND DISPERSION*
Authors:Cheng Aijie Wang Gaohong
Affiliation:Cheng Aijie Wang Gaohong Department of mathematics,Shandong University,Jinan 250100,PRC.
Abstract:A system of quasilinear coupled equations which arise from simulation of contamination of geologic nulear waste in porous media is studied. We'll discuss Galerkin method for the model of compressible flow with molecular diffusion and dispersion. Some new techniques are introcued to error analysis. Only one dimensional case is considered. The optimal error estimate in both L2 and H1 is proved. A contribution of this paper is how the dispersion term can be handled.
Keywords:Compressible flow   contamination of nuclear waste   molecular diffusion and dispersion    Galerkin finite element method   optimal error estimate.
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