Reiterated homogenization of the vector potential formulation of a magnetostatic problem in anisotropic composite media
DOI10.1016/j.na.2011.07.068zbMath1227.35049OpenAlexW2037867415MaRDI QIDQ642602
Publication date: 27 October 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.07.068
\(\Gamma \)-convergencemultiscale convergencemultiscale periodic oscillatory coefficientsmultiscale Young measure
Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Variational methods applied to problems in optics and electromagnetic theory (78M30) Homogenization in optics and electromagnetic theory (78M40) Maxwell equations (35Q61)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homogenization of the Maxwell equations. Case II: Nonlinear conductivity.
- Multiscale Young measures in almost periodic homogenization and applications
- \(\varGamma \)-convergence of quadratic functionals with oscillating linear perturbations
- Non-homogeneous media and vibration theory
- An introduction to \(\Gamma\)-convergence
- Parametrized measures and variational principles
- Comparison between two numerical methods for a magnetostatic problem
- Homogenization of the Maxwell equations. Case I: Linear theory.
- On \(\Gamma \)-convergence in divergence-free fields through Young measures
- A-Quasiconvexity: Relaxation and Homogenization
- Multiscale Asymptotic Method for Maxwell's Equations in Composite Materials
- Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
- Finite Element Methods for Navier-Stokes Equations
- Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions
- Homogenization and Two-Scale Convergence
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- Vector potentials in three-dimensional non-smooth domains
- $\Gamma$-Convergence through Young Measures
- $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
- 3D VECTOR POISSON-LIKE PROBLEM WITH A TRIPLET OF INTRINSIC SCALAR BOUNDARY CONDITIONS
- Multiscale convergence and reiterated homogenisation
- Γ-convergence of functionals on divergence-free fields
- Multi-scale Young measures
- Large scale detection of half-flats in CAT(0)-spaces
This page was built for publication: Reiterated homogenization of the vector potential formulation of a magnetostatic problem in anisotropic composite media