Optimal $L^2$ error estimation for the unfitted interface finite element method based on the non-symmetric Nitsche's methods
Numerical Analysis
2025-10-15 v1 Numerical Analysis
Abstract
This paper establishes optimal error estimates in the for the non-symmetric Nitsche method in an unfitted interface finite element setting. Extending our earlier work, we give a complete analysis for the Poisson interface model and, by formulating a tailored dual problem that restores adjoint consistency, derive the desired bounds.
Keywords
Cite
@article{arxiv.2510.12151,
title = {Optimal $L^2$ error estimation for the unfitted interface finite element method based on the non-symmetric Nitsche's methods},
author = {Gang Chen and Chaoran Liu and Yangwen Zhang},
journal= {arXiv preprint arXiv:2510.12151},
year = {2025}
}