Discretization Methods for Convection-Dominated Problems

Abstract

As we have seen in the introductory Chapter 0, the modelling of transport and reaction processes in porous media results in differential equations of the form

$$ \partial _t u - \nabla \cdot (\boldsymbol{K}\nabla u-\boldsymbol{c}u) = f\,, $$

which is a special case of the form (0.33), and just the time-dependent version of the formulation in divergence form (3.36) with $b=1$.