Numerical Methods for Flows Through Porous Media. I
Michael E. Rose · Mathematics of Computation · 1983
The degenerate parabolic equation \[ \frac {{\partial u}}{{\partial t}} = abla \cdot \left ( {|u{|^ u } abla u} \right ),\quad u \geqslant 1,\] has been used to model the flow of gas through a porous medium. Error estimates for continuous and discrete time finite element procedures to approximate the solution of this equation are proved, and several new regularity results are given.