The periodic unfolding method was introduced in 2002 in Cioranescu, Damlamian, and
Griso, CR Acad. Sci. Paris, Ser. 1, 335 (2002), pp. 99–104 (with the basic proofs in …

In the late 1960's and early 1970's, the theory of homogenization became in its own right a
new part of the branch of mathematics concerning partial differential equations and their …

This paper deals with the periodic unfolding for sequences defined on one dimensional
lattices in RN. In order to transfer the known results of the periodic unfolding in RN to lattices …

Multiscale model for atomic force microscope array mechanical behavior | Applied Physics
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The primary objective of this paper is to present a simplified model for an array of Atomic
Force Microscopes (AFMs) operating in static mode. Its derivation is based on the asymptotic …

Networked materials and micro-architectured systems gain increasingly importance in multi-
scale physics and engineering sciences. Typically, computational intractable microscopic …

This thesis consists of four papers devoted to the homogenization of some partial differential
equations by means of the two-scale convergence method and the Σ-convergence method …

Boundary value problems on large periodic networks arise in many applications such as soil
mechanics in geophysics or the analysis of photonic crystals in nanotechnology. As a model …

We state a simplified model of thin elastic plate including in the one side an embedded
periodic distribution of piezoelectric sensors and actuators and in the other side a periodic …

In this paper we establish a simplified model of general spatially periodic linear electronic
analog networks. It has a two-scale structure. At the macro level it is an algebro-differential …