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Uniform estimate of the relative free energy by the dissipation rate for finite volume discretized reaction-diffusion systems
2014, Fiebach, André, Glitzky, Annegret
We prove a uniform Poincaré-like estimate of the relative free energy by the dissipation rate for implicit Euler, finite volume discretized reaction-diffusion systems. This result is proven indirectly and ensures the exponential decay of the relative free energy with a unified decay rate for admissible finite volume meshes.