Characteristics—Galerkin and mixed finite element approximation of contamination by compressible nuclear waste-disposal in porous media

✍ Scribed by So-Hsiang Chou; Qian Li

• Book ID: 102657164
• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 646 KB
• Volume: 12
• Category: Article
• ISSN: 0749-159X
• DOI: 10.1002/(sici)1098-2426(199605)12:3<315::aid-num3>3.0.co;2-r

✦ Synopsis

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 ' and L2 are derived.