  Anisotropic Porous Medium Equation (APME) is developed as an extension of the
Porous Medium Equation (PME) for anisotropic porous media. A special analytical
solution is derived for APME for time-independent diffusion. Anisotropic mesh
adaptation for linear finite element solution of APME is discussed and
numerical results for two dimensional examples are presented. The solution
errors using anisotropic adaptive meshes show second order convergence.
