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Adaptive finite element method assisted by stochastic simulation of chemical systems

Abstract:

Stochastic models of chemical systems are often analysed by solving the corresponding Fokker-Planck equation which is a drift-diffusion partial differential equation for the probability distribution function. Efficient numerical solution of the Fokker-Planck equation requires adaptive mesh refinements. In this paper, we present a mesh refinement approach which makes use of a stochastic simulation of the underlying chemical system. By observing the stochastic trajectory for a relatively short ...

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Publication date:
2011-01-01
URN:
uuid:538f0d7a-7059-4395-b9a7-62a9d6bc2384
Local pid:
oai:eprints.maths.ox.ac.uk:1467

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