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Glitzky, Annegret [Author]; Fiebach, André [Author]

Uniform Estimate of the Relative Free Energy by the Dissipation Rate for Finite Volume Discretized Reaction-Diffusion Systems

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  • Media type: Text; E-Article
  • Title: Uniform Estimate of the Relative Free Energy by the Dissipation Rate for Finite Volume Discretized Reaction-Diffusion Systems
  • Contributor: Glitzky, Annegret [Author]; Fiebach, André [Author]
  • Published: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2014
  • Language: English
  • DOI: https://doi.org/10.1007/978-3-319-05684-5_26
  • Keywords: article ; Admissible finite volume mesh -- reaction-diffusion system -- free energy -- discrete Poincare and -- Sobolev-Poincare inequality
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: 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.