A Penalty-Free Asymmetric Nitsche's Method for Edge Elements
Numerical Analysis
2026-05-21 v1 Numerical Analysis
Abstract
We show the stability of a penalty-free asymmetric Nitsche's method using N\'ed\'elec edge elements for solving curl-curl-type problems with tangential Dirichlet boundary conditions imposed weakly. The main result is an inf-sup stability estimate for the asymmetric bilinear form under an isolated patch condition on the tetrahedral mesh. Applications to a curl-elliptic problem and a magnetic advection-diffusion problem are discussed.
Cite
@article{arxiv.2605.20367,
title = {A Penalty-Free Asymmetric Nitsche's Method for Edge Elements},
author = {Tianwei Yu},
journal= {arXiv preprint arXiv:2605.20367},
year = {2026}
}