On a Frequency-Stabilized Single Current Inverse Source Formulation
Numerical Analysis
2023-05-19 v2 Numerical Analysis
Abstract
Several strategies are available for solving the inverse source problem in electromagnetics. Among them, many have been focusing in retrieving Love currents by solving, after regularization, for Love's electric and magnetic currents. In this work we present a dual-element discretization, analysis, and stabilization of an inverse source formulation providing Love data by solving for only one current. This results in substantial savings and allows for an effective quasi-Helmholtz projector stabilization of the resulting operator. Theoretical considerations are complemented by numerical tests showing effectiveness and efficiency of the newly proposed method.
Cite
@article{arxiv.2204.11344,
title = {On a Frequency-Stabilized Single Current Inverse Source Formulation},
author = {Paolo Ricci and Adrien Merlini and Francesco P. Andriulli},
journal= {arXiv preprint arXiv:2204.11344},
year = {2023}
}