Mansi Bezbaruah - Shape Optimization of Microstructures Governed by Maxwell's Equations

Nous aurons l'occasion d'écouter une présentation de Mansi Bezbaruah (POEMS) intitulée Shape Optimization of Microstructures Governed by Maxwell's Equations, le 16 octobre 2025 à l'ENSTA Paris en Amphi 2234. 

Résumé :
This talk is concerned with a class of shape optimization problems involving optical metamaterial consisting of periodic nanoscale inclusions. We will first summarize the underlying microscale model and the corresponding homogenization theory that will serve as a basis for the shape optimization problem. We will then introduce a deformation field on the cell problem and, subsequently, formulate and solve the shape optimization problems using an adjoint approach. Finally, we will discuss a related eigenvalue optimization problem and some potential improvements to the computational speed of the finite element assembly as it relates to shape optimization problems.