Hybridized CutFEM for Elliptic Interface Problems
Numerical Analysis
2018-10-30 v1
Abstract
We design and analyze a hybridized cut finite element method for elliptic interface problems. In this method very general meshes can be coupled over internal unfitted interfaces, through a skeletal variable, using a Nitsche type approach. We discuss how optimal error estimates for the method are obtained using the tools of cut finite element methods and prove a condition number estimate for the Schur complement. Finally, we present illustrating numerical examples.
Cite
@article{arxiv.1810.12078,
title = {Hybridized CutFEM for Elliptic Interface Problems},
author = {Erik Burman and Daniel Elfverson and Peter Hansbo and Mats G. Larson and Karl Larsson},
journal= {arXiv preprint arXiv:1810.12078},
year = {2018}
}