Cotter, S. L. and Vejchodsky, T. and Erban, R. (2011) Adaptive finite element method assisted by stochastic simulation of chemical systems. SIAM Journal on Scientific Computing . (Submitted)

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Abstract
Stochastic models of chemical systems are often analysed by solving the corresponding
FokkerPlanck equation which is a driftdiffusion partial differential equation for the probability
distribution function. Efficient numerical solution of the FokkerPlanck 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 amount of time, the areas of the state space with nonnegligible probability density are identified. By refining the finite element mesh in these areas, and coarsening elsewhere, a suitable mesh is constructed and used for the computation of the probability density.
Item Type:  Article 

Subjects:  D  G > General 
Research Groups:  Oxford Centre for Collaborative Applied Mathematics 
ID Code:  1467 
Deposited By:  Peter Hudston 
Deposited On:  22 Feb 2012 07:53 
Last Modified:  29 May 2015 19:10 
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