Wave propagation in periodic elastic composites whose phases may have not only highly
contrasting but possibly also (in particular) highly anisotropic stiffnesses and moderately …

The purpose of this note… is to sort out my own thoughts… and to solicit ideas from others.
Lloyd N. Trefethen Three mysteries of Gaussian elimination Since 2008, when the first …

We study an abstract family of asymptotically degenerating variational problems. Those are
natural generalisations of families of problems emerging upon application of a rescaled …

We deal with the homogenization of initial-boundary-value problems for parabolic equations
with asymptotically degenerate rapidly oscillating periodic coefficients, which are models for …

We establish a homogenization result and a corrector result for a vibration problem of
elasticity. We assume that the data depend in a periodic way on a small parameter ε. We …

In this paper we outline an approach by Γ-convergence to some problems related to 'double-
porosity'homogenization. Various such models have been discussed in the mathematical …

This paper focuses on deriving double-porosity models from simple high-contrast atomistic
interactions. Using the variational approach and Γ-convergence techniques we derive the …

For two-scale homogenization of a general class of asymptotically degenerating strongly
elliptic symmetric PDE systems with a critically scaled high contrast periodic coefficients of a …

We consider an eigenvalue problem for a divergence-form elliptic operator Aε that has high-
contrast periodic coefficients with period ε in each coordinate, where ε is a small parameter …

A two-phase elastic composite with weakly compressible elastic inclusions is considered.
The homogenised two-scale limit problem is found, via a version of the method of two-scale …