G-Convergence, Dirichlet to Neumann maps and invisibility
Analysis of PDEs
2013-11-22 v1
Abstract
We establish optimal conditions under which the G-convergence of linear elliptic operators implies the convergence of the corresponding Dirichlet to Neumann maps. As an application we show that the approximate cloaking isotropic materials from [ Greenleaf, A.; Kurylev, Y.; Lassas, M.; Uhlmann, G. Approximate quantum and acoustic cloaking. J. Spectr. Theory (2011), no. 1, 27--80.] are independent of the source.
Cite
@article{arxiv.1311.5466,
title = {G-Convergence, Dirichlet to Neumann maps and invisibility},
author = {Daniel Faraco and Yaroslav Kurylev and Alberto Ruiz},
journal= {arXiv preprint arXiv:1311.5466},
year = {2013}
}