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On two-scale convergence and periodic unfolding
Two-scale convergence is an important tool in homogenization theory. The contribution deals with various primary and adjoint (based on unfolding) approaches to the two-scale convergence and their pro-and-c...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence
We consider a quasilinear parabolic problem with time dependent coefficients oscillating rapidly in the space variable. The existence and uniqueness results are proved by using Rothe's method combined with the technique of two-scale...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Some remarks on two-scale convergence and periodic unfolding
The paper discusses some aspects of the adjoint definition of two-scale and hence simplifies the proofs and its application in homogenization theory. The article provides also a self-contained introduction to two-<...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Weak and two-scale convergence
The contribution deals with two-scale convergence, motivation, definition and properties...
BA - Obecná matematika
- 2001 •
- D
Rok uplatnění
D - Stať ve sborníku
Alternative approaches to the two-scale convergence
Two-scale convergence is a special weak convergence used in homogenization theory. Besides the original definition by Nguetseng and Allaire two alternative definitions are introduced and compared. They enable us to...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Homogenization of the acoustic transmission through perforated layer
The paper deals with homogenized transmission conditions imposed on the interface plane separating two halfspaces occupied by the acoustic medium. The conditions are obtained as the two-scale homogenization
BI - Akustika a kmity
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On two-scale convergence
Alternative definition of the two-scale convergence based on two-scale transform. It removes the problems with choice of space of admissible test functions and simplifies the proofs....
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
Multi-Scale Analysis of Historical Masonry Structures with Application to Charles Bridge
The paper is concerned with the two-scale modeling of mechanical response of natural stone masonry structure improved the homogenization techniques. The obtained results are aplied to 3D analysis of Charles Bridge segment....
JN - Stavebnictví
- 2005 •
- A
Rok uplatnění
A - Audiovizuální tvorba
Homogenization of the problem of fluid diffusion through deforming porous solid
The paper deals with the problem of homogenization of coupled diffusion-deformation problem. The micromodel is based on the Biot model for consolidation. The two-scale convergence method is applied to derive the limit behav...
BK - Mechanika tekutin
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
MATHEMATICAL MODEL OF A VESSEL WALL TWO SCALE HOMOGENIZATION METHOD CONSIDERING LARGE DEFORMATIONS
An arterial wall is modelled by using the two scale homogenization method which allows to respect a complex microstructure of the wall. A nonlinear mathematical model with a hyperelastic constitutive law is used and large d...
JI - Kompositní materiály
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
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