Geodesic
The method of Rothe and two-scale convergence in nonlinear problems
Applications of Mathematics, Tome 48 (2003) no. 6, pp. 587-606.

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Modelling of macroscopic behaviour of materials, consisting of several layers or components, cannot avoid their microstructural properties. This article demonstrates how the method of Rothe, described in the book of K. Rektorys The Method of Discretization in Time, together with the two-scale homogenization technique can be applied to the existence and convergence analysis of some strongly nonlinear time-dependent problems of this type.
DOI : 10.1023/B:APOM.0000024496.35738.28
Classification : 35B27, 35K55, 74Q10, 74Q15
Keywords: PDE’s of evolution; method of Rothe; two-scale convergence; homogenization of periodic structures 
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Vala, Jiří. The method of Rothe and two-scale convergence in nonlinear problems. Applications of Mathematics, Tome 48 (2003) no. 6, pp. 587-606. doi : 10.1023/B:APOM.0000024496.35738.28. http://geodesic.mathdoc.fr/articles/10.1023/B:APOM.0000024496.35738.28/

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