Precised approximations in elliptic homogenization beyond the periodic setting

The main purpose of the present paper is to construct a generalized theory of elastodynamic homogenization for periodic media which improves the quality of the Willis effective

Classical results in stochastic homogenization of linear elliptic equations (see [15,21] for the continuous case, and [16,17] for the discrete case) state that there exist

These two types of problems are (i) periodic homogenization problems for fully nonlinear, second-order elliptic partial differential equations set in a half-space and (ii)

Homogenization of the linearized ionic transport equations in rigid periodic porous media.. Grégoire Allaire, Andro Mikelic,

We prove that the effective nonlinearities (ergodic constants) obtained in the stochastic homogenization of Hamilton-Jacobi, “viscous” Hamilton-Jacobi and nonlinear uniformly

Though the result itself is standard in periodic homogenization, a series of difficulties arise, due to the general form and weak ellipticity of the nonlocal operator (3): (i)

The main purpose of the present chapter is to construct a generalized theory of elastodynamic homogenization for periodic media which improves the quality of the Willis

Keywords: periodic structures, homogenization, elliptic boundary value problems, a posteriori error esti- mates, modeling error.. MSC 2010: 35J15,