Anisotropic Porous Medium Equation (APME) is developed as an extension of thePorous Medium Equation (PME) for anisotropic porous media. A special analyticalsolution is derived for APME for time-independent diffusion. Anisotropic meshadaptation for linear finite element solution of APME is discussed andnumerical results for two dimensional examples are presented. The solutionerrors using anisotropic adaptive meshes show second order convergence.
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