The method of Rothe and two-scale convergence in nonlinear problems

被引：0
作者：
Jiří Vala
机构：
[1] Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, University of Technology in Brno, 662 37 Brno
来源：
Applications of Mathematics | 2003年 / 48卷 / 6期
关键词：
homogenization of periodic structures; method of Rothe; PDE's of evolution; two-scale convergence;
D O I：
10.1023/B:APOM.0000024496.35738.28
中图分类号：
学科分类号：
摘要：
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. © 2003 Mathematical Institute, Academy of Sciences of Czech Republic.
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页码：587 / 606
页数：19
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