Uniform estimate of the relative free energy by the dissipation rate for finite volume discretized reaction-diffusion systems
- Fiebach, André
- Glitzky, Annegret
2010 Mathematics Subject Classification
- 65M08 35B40 35K57 35R05 46E39
- Admissible finite volume mesh, reaction-diffusion system, free energy, discrete Poincare and, Sobolev-Poincare inequality
We prove a uniform Poincare-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.
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