On an approach to deal with Neumann boundary value problems defined on uncertain domains: Numerical experiments

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F11%3A00180239" target="_blank" >RIV/68407700:21110/11:00180239 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V0T-52BPK1R-1&_user=640811&_coverDate=05%2F31%2F2011&_rdoc=1&_fmt=hig" target="_blank" >http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V0T-52BPK1R-1&_user=640811&_coverDate=05%2F31%2F2011&_rdoc=1&_fmt=hig</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.matcom.2011.02.005" target="_blank" >10.1016/j.matcom.2011.02.005</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On an approach to deal with Neumann boundary value problems defined on uncertain domains: Numerical experiments

Popis výsledku v původním jazyce

Neumann boundary value problems for second order elliptic equations are considered on a 2D domain whose boundary is not known and might be even non-Lipschitz. Although the domain of definition is unknown, it is assumed that (a) it contains a known domain(subdomain), (b) it is contained in a known domain (superdomain), and (c) both the subdomain and superdomain have Lipschitz boundary. To cope with the Neumann boundary condition on the unknown boundary and to properly formulate the boundary value problem (BVP), the condition has to be reformulated. A reformulated BVP is used to estimate the difference between the BVP solution on the unknown domain and the BVP solution on the known subdomain or superdomain. To evaluate the estimate, the finite element method is applied. Numerical experiments are performed to check the estimate and its response to a shrinking region of uncertainty.

Název v anglickém jazyce

On an approach to deal with Neumann boundary value problems defined on uncertain domains: Numerical experiments

Popis výsledku anglicky

Neumann boundary value problems for second order elliptic equations are considered on a 2D domain whose boundary is not known and might be even non-Lipschitz. Although the domain of definition is unknown, it is assumed that (a) it contains a known domain(subdomain), (b) it is contained in a known domain (superdomain), and (c) both the subdomain and superdomain have Lipschitz boundary. To cope with the Neumann boundary condition on the unknown boundary and to properly formulate the boundary value problem (BVP), the condition has to be reformulated. A reformulated BVP is used to estimate the difference between the BVP solution on the unknown domain and the BVP solution on the known subdomain or superdomain. To evaluate the estimate, the finite element method is applied. Numerical experiments are performed to check the estimate and its response to a shrinking region of uncertainty.

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

—

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2011

Kód důvěrnosti údajů

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

Název periodika

Mathematics and Computers in Simulation

ISSN

0378-4754

e-ISSN

—

Svazek periodika

81

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

7

Strana od-do

1869-1875

Kód UT WoS článku

000290980200011

EID výsledku v databázi Scopus

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