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

Applications of Mathematics (2003)

- Volume: 48, Issue: 6, page 587-606
- ISSN: 0862-7940

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topVala, Jiří. "The method of Rothe and two-scale convergence in nonlinear problems." Applications of Mathematics 48.6 (2003): 587-606. <http://eudml.org/doc/33170>.

@article{Vala2003,

abstract = {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.},

author = {Vala, Jiří},

journal = {Applications of Mathematics},

keywords = {PDE’s of evolution; method of Rothe; two-scale convergence; homogenization of periodic structures; evolution PDE; Rothe method; two-scale convergence; homogenization; periodic structures},

language = {eng},

number = {6},

pages = {587-606},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {The method of Rothe and two-scale convergence in nonlinear problems},

url = {http://eudml.org/doc/33170},

volume = {48},

year = {2003},

}

TY - JOUR

AU - Vala, Jiří

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

JO - Applications of Mathematics

PY - 2003

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 48

IS - 6

SP - 587

EP - 606

AB - 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.

LA - eng

KW - PDE’s of evolution; method of Rothe; two-scale convergence; homogenization of periodic structures; evolution PDE; Rothe method; two-scale convergence; homogenization; periodic structures

UR - http://eudml.org/doc/33170

ER -

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