Semi-discrete finite element approximation applied to Maxwell's equations in nonlinear media
Numerical Analysis
2024-12-20 v3 Numerical Analysis
Abstract
In this paper the semi-discrete finite element approximation of initial boundary value problems for Maxwell's equations in nonliear media of Kerr-type is investigated. For the case of N\'ed\'elec elements from the first family, a priori error estimates are established for the approximation.
Keywords
Cite
@article{arxiv.1901.03605,
title = {Semi-discrete finite element approximation applied to Maxwell's equations in nonlinear media},
author = {Lutz Angermann},
journal= {arXiv preprint arXiv:1901.03605},
year = {2024}
}