On two-scale convergence and related sequential compactness topics.

DOI10.1007/s10492-006-0014-xzbMath1164.40304OpenAlexW2012638292MaRDI QIDQ954587

Niklas Wellander, Anders Holmbom, Jeanette Silfver, Nils E. M. Svanstedt

Publication date: 24 November 2008

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33253

zbMATH Keywords

compensated compactnessunfoldingtwo-scale convergencetwo-scale transform

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30)

Related Items (6)

Homogenization of the Stokes System in a Domain with an Oscillating Boundary ⋮ A Multiscale Approach and a Hybrid FE-FDTD Algorithm for 3D Time-Dependent Maxwell's Equations in Composite Materials ⋮ Homogenization of parabolic equation in an evolving domain with an oscillating boundary ⋮ On general two-scale convergence and its application to the characterization of \(G\)-limits. ⋮ Some remarks on two-scale convergence and periodic unfolding. ⋮ Homogenization of linear parabolic equations with a certain resonant matching between rapid spatial and temporal oscillations in periodically perforated domains

Cites Work

• Alternative approaches to the two-scale convergence.
• Multiscale convergence and reiterated homogenization of parabolic problems.
• Periodic unfolding and homogenization
• SCALE CONVERGENCE IN HOMOGENIZATION
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Multiscale convergence and reiterated homogenisation
• Reiterated homogenization of nonlinear monotone operators
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