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Characteristics—Galerkin and mixed finite element approximation of contamination by compressible nuclear waste‐disposal in porous media
Author(s) -
Chou SoHsiang,
Li Qian
Publication year - 1996
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(199605)12:3<315::aid-num3>3.0.co;2-r
Subject(s) - porous medium , compressibility , finite element method , mathematics , galerkin method , brine , radioactive waste , partial differential equation , dispersion (optics) , diffusion , porosity , mechanics , mathematical analysis , geotechnical engineering , thermodynamics , physics , waste management , geology , engineering , optics
A compressible nuclear waste‐disposal contamination in porous media is modeled by a coupled system of partial differential equations. The approximation of this system by a Galerkin method that makes use of a modified method of characteristics for the brine, radionuclides, and heat and by a mixed finite element method for the pressure and velocity are analyzed. Optimal order error estimates are obtained. This article improves upon previous works in two aspects. First, error analysis is given with no restriction on the diffusion‐dispersion tensors. That is, we have included the effects of molecular diffusion and dispersion. Secondly, optimal error estimates in H 1 and L 2 are derived. © 1996 John Wiley & Sons, Inc.