Cut Finite Element Methods for Coupled Bulk-Surface Problems
Numerical Analysis
2014-03-27 v1
Abstract
We develop a cut finite element method for a second order elliptic coupled bulk-surface model problem. We prove a priori estimates for the energy and norms of the error. Using stabilization terms we show that the resulting algebraic system of equations has a similar condition number as a standard fitted finite element method. Finally, we present a numerical example illustrating the accuracy and the robustness of our approach.
Cite
@article{arxiv.1403.6580,
title = {Cut Finite Element Methods for Coupled Bulk-Surface Problems},
author = {Erik Burman and Peter Hansbo and Mats G. Larson and Sara Zahedi},
journal= {arXiv preprint arXiv:1403.6580},
year = {2014}
}