Publication detail

Worst scenario method in homogenization. Linear Case.

NECHVÁTAL, L.

Original Title

Worst scenario method in homogenization. Linear Case.

Type

journal article - other

Language

English

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

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

Authors

NECHVÁTAL, L.

RIV year

2006

Released

15. 6. 2006

Publisher

Mathematical Institute, Academy of Sciences of the Czech Republic

Location

Prague

ISBN

0862-7940

Periodical

APPLICATIONS OF MATHEMATICS

Year of study

51

Number

3

State

Czech Republic

Pages from

263

Pages to

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"
}