Adaptive finite element method assisted by stochastic simulation of chemical systems

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Adaptive finite element method assisted by stochastic simulation of chemical systems

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Adaptive finite element method assisted by stochastic simulation of chemical systems

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/IAA100190803" target="_blank" >IAA100190803: Metoda konečných prvků pro vícerozměrné problémy</a><br>

Návaznosti

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

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

SIAM Journal on Scientific Computing

ISSN

1064-8275

e-ISSN

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Svazek periodika

35

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

25

Strana od-do

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Kód UT WoS článku

000315575000029

EID výsledku v databázi Scopus

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