Explicit characterization of the polarization tensor for rough thin layers - Inria - Institut national de recherche en sciences et technologies du numérique
Journal Articles European Journal of Applied Mathematics Year : 2011

Explicit characterization of the polarization tensor for rough thin layers

Abstract

In the paper ‘Approximate transmission conditions through a rough thin layer. The case of periodic roughness' (Eur. J. Appl. Math. 2010; 21: 51–75), Ciuperca et al. derive transmission conditions that are equivalent to a rough thin layer for the conductivity problem. These conditions involved a pair of vector fields (A0, a0) and two constants D1 and D2 that are given implicitly by solving a partial differential equation in the infinite strip × /2π. We give here an explicit expression of a0 in terms of A0, which shows that D1 equals zero. We infer an explicit characterization of the polarization tensor as given by Capdeboscq and Vogelius (ESAIM:M2AN. 2003; 37: 159–173).
No file

Dates and versions

inria-00554686 , version 1 (11-01-2011)

Identifiers

Cite

Clair Poignard. Explicit characterization of the polarization tensor for rough thin layers. European Journal of Applied Mathematics, 2011, 22, pp.1-6. ⟨10.1017/S0956792510000252⟩. ⟨inria-00554686⟩
62 View
0 Download

Altmetric

Share

More