Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume

We consider for the time-dependent Maxwell’s equations the inverse problem of identifying locations and certain properties of small electromagnetic inhomogeneities in a

Vogelius , Boundary integral formulas for the reconstruction of electromagnetic imperfections of small diameter, ESAIM: Cont.. Volkov, Correction of order three for the expansion of

As a consequence, the wavepacket propagates at superluminal speed according to an effective metric tensor, built up in analogy with the Cauchy stress tensor in a deformable

To answer the question, of exactly how good the approximate cloaking is, one must estimate the effect of a small inhomogeneity of completely arbitrary conductivity on the Neumann

For the inverse conductivity problem these polarization tensor bounds immediately lead to optimal (small volume) inhomogeneity size estimates in terms of a single (integral)

The simple, improved estimates we derive are shown to be rigorous, improved bounds in the asymptotic limit when the inhomogeneities are of small relative volume, and

BLIM2D is compared against SIM2D for the boundary layer computation, which allows to see the interest of the new code for the computation of the heat transfer (section IV C) and for

In the “magnetic” formulation, the volume integral operator is a scalar strongly singular integral operator, similar to what one gets when acoustic scattering problems are treated