The Method of Rothe and Two-Scale Convergence in Nonlinear Problems

被引：0
|
作者：
Jiří Vala
机构：
[1] University of Technology in Brno,Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering
来源：
Applications of Mathematics | 2003年 / 48卷 / 6期
关键词：
PDE's of evolution; method of Rothe; two-scale convergence; homogenization of periodic structures;
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.
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页码：587 / 606
页数：19
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