In this talk we present a mixed finite-element method for non-linear Fokker-Planck equations. Our approach is motivated by the interpretation of the non-linear Fokker-Planck equation as a gradient flow of a convex energy functional with respect to a distance induced by a convex cost function. We briefly discuss the underlying analysis of our method and its numerical discretization. Finally we present 2D numerical simulations of the Patlak-Keller-Segel model and the porous medium equations.
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