PreprintCC BY-NC-ND 4.0HAL
Shape derivative for Maxwell's equations and pseudo-differential costs
Abstract
We develop the shape derivative for the time-harmonic Maxwell equations with a particular view to high frequency analysis. Specifically, we consider a class of cost functions involving the Wigner transform of the electric field. This can be equivalently formulated with the help of pseudo-differential operators.
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BibTeX
@misc{amstutz2026shape,
title = {{Shape derivative for Maxwell's equations and pseudo-differential costs}},
author = {Samuel Amstutz and Benjamin Aymard and Audric Drogoul and Luca Gorini},
howpublished = {HAL},
year = {2026},
month = nov,
url = {https://hal.science/hal-05852959v1},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Shape derivative for Maxwell's equations and pseudo-differential costs
AU - Samuel Amstutz
AU - Benjamin Aymard
AU - Audric Drogoul
AU - Luca Gorini
PY - 2026
DA - 2026/11/05
PB - HAL
UR - https://hal.science/hal-05852959v1
AB - We develop the shape derivative for the time-harmonic Maxwell equations with a particular view to high frequency analysis. Specifically, we consider a class of cost functions involving the Wigner transform of the electric field. This can be equivalently formulated with the help of pseudo-differential operators.
ER -