Detail publikačního výsledku

Worst scenario method in homogenization. Linear Case.

NECHVÁTAL, L.

Originální název

Worst scenario method in homogenization. Linear Case.

Anglický název

Worst scenario method in homogenization. Linear Case.

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

The paper deals with homogenization of a linear elliptic boundary problem with a specific class of uncertain coefficients describing composite materials with periodic structure. Instead of stochastic approach to the problem, we use the worst scenario method due to Hlaváček (method of reliable solution). A few criterion functionals are introduced. We focus on the range of the homogenized coefficients from knowledge of the ranges of individual components in the composite, on the values of generalized gradient in the places, where these components change and on the average of homogenized solution in some critical subdomain.

Anglický abstrakt

The paper deals with homogenization of a linear elliptic boundary problem with a specific class of uncertain coefficients describing composite materials with periodic structure. Instead of stochastic approach to the problem, we use the worst scenario method due to Hlaváček (method of reliable solution). A few criterion functionals are introduced. We focus on the range of the homogenized coefficients from knowledge of the ranges of individual components in the composite, on the values of generalized gradient in the places, where these components change and on the average of homogenized solution in some critical subdomain.

Klíčová slova

homogenization;two-scale convergence;worst-scenario;reliable solution

Klíčová slova v angličtině

homogenization;two-scale convergence;worst-scenario;reliable solution

Autoři

NECHVÁTAL, L.

Vydáno

15.06.2006

Nakladatel

Mathematical Institute, Academy of Sciences of the Czech Republic

Místo

Prague

ISSN

0862-7940

Periodikum

Applications of Mathematics

Svazek

51

Číslo

3

Stát

Česká republika

Strany od

263

Strany do

294

Strany počet

32

BibTex

@article{BUT43203,
  author="Luděk {Nechvátal}",
  title="Worst scenario method in homogenization. Linear Case.",
  journal="Applications of Mathematics",
  year="2006",
  volume="51",
  number="3",
  pages="263--294",
  issn="0862-7940"
}