Displaying similar documents to “Finite volume methods for convection-diffusion equations with right-hand side in H-1”

Hypocoercive Diffusion Operators

Cédric Villani (2007)

Bollettino dell'Unione Matematica Italiana

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In many problems coming from mathematical physics, the association of a degenerate diffusion operator with a conservative operator may lead to dissipation in all variables and convergence to equilibrium. One can draw an analogy with the well-studied phenomenon of hypoellipticity in regularity theory, and actually both phenomena have been studied together. Now a distinctive theory of ``hypocoercivity'' is starting to emerge, with already some striking results, and several challenging...

Convergence and stability of higher-order finite element solution of reaction-diffusion equation with Turing instability

Kůs, Pavel

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In this contribution, higher-order finite element method is used for the solution of reaction-diffusion equation with Turing instability. Some aspects concerning convergence of the method for this particular problem are discussed. Our numerical tests confirm the convergence of the method, but for some very special choices of parameters, this convergence has very uncommon properties.