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- Byström, JohanLuleå tekniska universitet,Matematiska vetenskaper (author)
Periodic approximation of elastic properties in random media
- Article/chapterEnglish2006
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- 2006
- electronicrdacarrier
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- LIBRIS-ID:oai:DiVA.org:ltu-5859
- https://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-5859URI
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- Language:English
- Summary in:English
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- Validerad; 2006; 20070107 (ysko)
- 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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- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- Mathematics
- Matematik
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- Engström, Jonas (author)
- Wall, Peter (author)
- Luleå tekniska universitetMatematiska vetenskaper (creator_code:org_t)
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- In:Advances in Algebra and Analysis1:2, s. 103-1130973-2306
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