Publication detail

Worst scenario method in homogenization. Linear Case.

NECHVÁTAL, L.

English title

Worst scenario method in homogenization. Linear Case.

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

Original abstract

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.

Keywords in English

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

Released

2006-06-15

Publisher

Mathematical Institute, Academy of Sciences of the Czech Republic

Location

Prague

ISSN

0862-7940

Journal

Applications of Mathematics

Volume

51

Number

3

Pages from–to

263–294

Pages count

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"
}