High Order Cut Finite Element Methods for the Stokes Problem
Numerical Analysis
2015-05-05 v1
Abstract
We develop a high order cut finite element method for the Stokes problem based on general inf-sup stable finite element spaces. We focus in particular on composite meshes consisting of one mesh that overlaps another. The method is based on a Nitsche formulation of the interface condition together with a stabilization term. Starting from inf-sup stable spaces on the two meshes, we prove that the resulting composite method is indeed inf-sup stable and as a consequence optimal \emph{a~priori} error estimates hold.
Cite
@article{arxiv.1505.00372,
title = {High Order Cut Finite Element Methods for the Stokes Problem},
author = {August Johansson and Mats G. Larson and Anders Logg},
journal= {arXiv preprint arXiv:1505.00372},
year = {2015}
}