Stabilized Finite Elements for a Reaction-Dispersion Saddle-Point Problem with NonConstant Coefficients

We consider a system of two reaction-dispersion equations with nonconstant parameters. Both equations are coupled through the boundary conditions. We propose a mixed variational formulation that leads to a nonsymmetric saddle-point problem. We prove its well-posedness. Then, we develop a stabilized mixed finite element discretization of this problem and establish optimal a priori error estimates.

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