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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
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" }