Displaying similar documents to “Asymptotic models for scattering from unbounded media with high conductivity”

A multiscale correction method for local singular perturbations of the boundary

Marc Dambrine, Grégory Vial (2007)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

In this work, we consider singular perturbations of the boundary of a smooth domain. We describe the asymptotic behavior of the solution u of a second order elliptic equation posed in the perturbed domain with respect to the size parameter of the deformation. We are also interested in the variations of the energy functional. We propose a numerical method for the approximation of u based on a multiscale superposition of the unperturbed solution and a profile defined...

Γ-convergence approach to variational problems in perforated domains with Fourier boundary conditions

Valeria Chiadò Piat, Andrey Piatnitski (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

The work focuses on the Γ-convergence problem and the convergence of minimizers for a functional defined in a periodic perforated medium and combining the bulk (volume distributed) energy and the surface energy distributed on the perforation boundary. It is assumed that the mean value of surface energy at each level set of test function is equal to zero. Under natural coercivity and -growth assumptions on the bulk energy, and the assumption that the surface energy satisfies -growth...