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  • Byström, Johan, et al. (author)
  • Periodic approximation of elastic properties in random media
  • 2006
  • In: Advances in Algebra and Analysis. - 0973-2306. ; 1:2, s. 103-113
  • Journal article (peer-reviewed)abstract
    • Most papers on stochastic homogenization either deal with theoretical aspects or with questions regarding computational issues. Since the theoretical analysis involves the solution of a problem which is stated in a abstract probability space, it is not clear how the two areas are connected. In previous works this problem has not been considered. However, recently Bourgeat and Piatnitski investigated this connection in the scalar case for second order operators of divergence form. They proved that in the limit, the method of periodic approximation gives the same effective properties as in stochastic homogenization. In this paper we prove similar results for the vector valued case, which appears in e.g. the theory of elasticity. Moreover, we provide a numerical analysis of the results.
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  • Result 1-2 of 2
Type of publication
journal article (2)
Type of content
peer-reviewed (2)
Author/Editor
Engström, Jonas (2)
Persson, Lars-Erik (1)
Wall, Peter (1)
Dasht, Johan (1)
Byström, Johan (1)
Kufner, Alois (1)
University
Luleå University of Technology (2)
Language
English (2)
Research subject (UKÄ/SCB)
Natural sciences (2)
Year
2006 (2)

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