2 papers
math.NA2022
An optimal control-based numerical method for scalar transmission problems with sign-changing coefficients
Patrick Ciarlet, David Lassounon, Mahran Rihani
In this work, we present a new numerical method for solving the scalar transmission problem with sign-changing coefficients. In electromagnetism, such a transmission problem can oc…
math.AP2020
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…