We develop a conservative cut finite element method for an elliptic coupled bulk-interface problem. The method is based on a discontinuous Galerkin framework where stabilization is added in such a way that we retain conservation on macro elements containing one element with a large intersection with the domain and possibly a number of elements with small intersections. We derive error estimates and present confirming numerical results
@article{arxiv.2105.02202,
title = {Conservative Discontinuous Cut Finite Element Methods},
author = {Mats G. Larson and Sara Zahedi},
journal= {arXiv preprint arXiv:2105.02202},
year = {2021}
}