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On the determination of limits for some sequences of functions and differential operators
Mittuniversitetet, Fakulteten för naturvetenskap, teknik och medier, Institutionen för teknik, fysik och matematik.ORCID-id: 0000-0001-6742-5781
Mittuniversitetet, Fakulteten för naturvetenskap, teknik och medier, Institutionen för teknik, fysik och matematik.ORCID-id: 0000-0003-2942-6841
Mittuniversitetet, Fakulteten för naturvetenskap, teknik och medier, Institutionen för teknik, fysik och matematik.
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2006 (engelsk)Inngår i: Canadian Applied Mathematics Quarterly, ISSN 1073-1849, Vol. 14, nr 3, s. 299-329Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

This article deals with homogenization methods, namely two-scale convergence and Hconvergence, with the aim of comparing their efficiency in studying composite materials. Analytic examples are given to illustrate both methods. While compensated compactness allows one to determine the limit of a product of two weakly converging sequences under additional assumptions on the derivatives, two-scale convergence takes advantage of underlying oscillations of solution sequences and H-convergence is concerned with the operator behaviour. Special attention is paid to periodic homogenization as this case yields the most involved results. Numerical experiments are used to investigate open questions in H-convergence dealing with the possible relaxation of some convergence hypotheses. Partial results are established in this respect.

sted, utgiver, år, opplag, sider
2006. Vol. 14, nr 3, s. 299-329
Emneord [en]
Two-scale convergence, G-convergence
HSV kategori
Identifikatorer
URN: urn:nbn:se:miun:diva-3813Lokal ID: 4081OAI: oai:DiVA.org:miun-3813DiVA, id: diva2:28845
Tilgjengelig fra: 2008-09-30 Laget: 2008-09-30 Sist oppdatert: 2016-12-12bibliografisk kontrollert

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