37 citations · 79 across the 9 of their papers we have counts for
12 papers
A Rellich-type theorem for the Helmholtz equation in a junction of stratified media
Sarah Al Humaikani, Anne-Sophie Bonnet-Ben Dhia, Sonia Fliss +1
We prove that there are no non-zero square-integrable solutions to a two-dimensional Helmholtz equation in some unbounded inhomogeneous domains which represent junctions of stratif…
A complex-scaled boundary integral equation for time-harmonic water waves
Anne-Sophie Bonnet-Ben Dhia, Luiz M. Faria, Carlos Pérez-Arancibia
This paper presents a novel boundary integral equation (BIE) formulation for the two-dimensional time-harmonic water-waves problem. It utilizes a complex-scaled Laplace's free-spac…
Maxwell's equations with hypersingularities at a negative index material conical tip
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Mahran Rihani
We study a transmission problem for the time harmonic Maxwell's equations between a classical positive material and a so-called negative index material in which both the permittivi…
On the half-space matching method for real wavenumber
Anne-Sophie Bonnet-Ben Dhia, Simon N. Chandler-Wilde, Sonia Fliss
The Half-Space Matching (HSM) method has recently been developed as a new method for the solution of 2D scattering problems with complex backgrounds, providing an alternative to Pe…
The Complex-Scaled Half-Space Matching Method
Anne-Sophie Bonnet-Ben Dhia, Simon N. Chandler-Wilde, Sonia Fliss +3
The Half-Space Matching (HSM) method has recently been developed as a new method for the solution of 2D scattering problems with complex backgrounds, providing an alternative to Pe…
Maxwell's equations with hypersingularities at a conical plasmonic tip
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Mahran Rihani
In this work, we are interested in the analysis of time-harmonic Maxwell's equations in presence of a conical tip of a material with negative dielectric constants. When these const…