Analysis of a finite-volume-finite-element scheme for a nuclear transport model

We consider a problem of nuclear waste contamination, taking into account thermal effects. The temperature and the contaminant's concentration obey convection–diffusion reaction equations. The velocity and the pressure in the flow satisfy the Darcy equation, with a viscosity depending on both concentrations and temperature. The equations are nonlinear and strongly coupled. Using both finite-volume and nonconforming finite-element methods, we introduce a scheme adapted to this problem. We prove the convergence of this scheme and give error estimates.

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Original source : http://imajna.oxfordjournals.org/cgi/content/short...