Long-time behavior of a finite volume discretization for a fourth order diffusion equation

20 May 2015 Maas Jan Matthes Daniel

We consider a non-standard finite-volume discretization of a strongly non-linear fourth order diffusion equation on the $d$-dimensional cube, for arbitrary $d \geq 1$. The scheme preserves two important structural properties of the equation: the first is the interpretation as a gradient flow in a mass transportation metric, and the second is an intimate relation to a linear Fokker-Planck equation... (read more)

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