Adaptive finite element method assisted by stochastic simulation of chemical systems

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00391351" target="_blank" >RIV/67985840:_____/13:00391351 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1137/120877374" target="_blank" >http://dx.doi.org/10.1137/120877374</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1137/120877374" target="_blank" >10.1137/120877374</a>

Result language

angličtina

Original language name

Adaptive finite element method assisted by stochastic simulation of chemical systems

Original language description

Stochastic models of chemical systems are often analyzed 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 amount oftime, 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 stationary probability density. Numerical examples demonstrate that the presented method is competitive with existing a posteriori methods.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/IAA100190803" target="_blank" >IAA100190803: The finite element method for higher dimensional problems</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

SIAM Journal on Scientific Computing

ISSN

1064-8275

e-ISSN

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Volume of the periodical

35

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

25

Pages from-to

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UT code for WoS article

000315575000029

EID of the result in the Scopus database

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