To main content

A new reiterated structure with optimal macroscopic behavior

Abstract

We consider homogenization of sequences of integral functionals. The functions are defined in the first variable via a new reiterated structure with m microlevels. In particular, our results imply that the corresponding homogenized functional becomes optimal as m turns to infinity. Both the scalar case (the conductivity problem) and the vector-valued case (the elasticity problem) are considered.

Category

Academic article

Language

English

Author(s)

  • Dag Lukkassen

Affiliation

  • SINTEF Narvik
  • UiT The Arctic University of Norway

Year

1999

Published in

SIAM Journal on Applied Mathematics

ISSN

0036-1399

Volume

59

Issue

5

Page(s)

1825 - 1842

View this publication at Norwegian Research Information Repository