5 papers
Shape derivatives of boundary integral operators in electromagnetic scattering. Part II : Application to scattering by a homogeneous dielectric obstacle
Martin Costabel, Frédérique Le Louër
We develop the shape derivative analysis of solutions to the problem of scattering of time-harmonic electromagnetic waves by a bounded penetrable obstacle. Since boundary integral…
Shape derivatives of boundary integral operators in electromagnetic scattering. Part I: Shape differentiability of pseudo-homogeneous boundary integral operators
Martin Costabel, Frédérique Le Louër
In this paper we study the shape differentiability properties of a class of boundary integral operators and of potentials with weakly singular pseudo-homogeneous kernels acting bet…
On the Fréchet derivative in elastic obstacle scattering
Frédérique Le Louër
In this paper, we investigate the existence and characterizations of the Fréchet derivatives of the solution to time-harmonic elastic scattering problems with respect to the bounda…
Shape derivatives of boundary integral operators in electromagnetic scattering
Martin Costabel, Frédérique Le Louër
We develop the shape derivative analysis of solutions to the problem of scattering of time-harmonic electromagnetic waves by a bounded penetrable obstacle. Since boundary integral…
On the Kleinman-Martin integral equation method for electromagnetic scattering by a dielectric body
Martin Costabel, Frédérique Le Louër
The interface problem describing the scattering of time-harmonic electromagnetic waves by a dielectric body is often formulated as a pair of coupled boundary integral equations for…