---
address:
- 'Institute for Computational Mathematics, TU Braunschweig, 38106 Braunschweig, Germany.'
- 'Department of Mathematics, Dartmouth College, Hanover, NH 03755, United States.'
author:
- Jan Glaubitz
- Anne Gelb
bibliography:
- 'literature.bib'
title: 'High Order Edge Sensors with $\ell^1$ Regularization for Enhanced Discontinuous Galerkin Methods'
---

discontinuous Galerkin , $\ell^1$ regularization , polynomial annihilation , shock capturing , discontinuity sensor , hyperbolic conservation laws

Acknowledgements {#acknowledgements .unnumbered}
================

The authors would like to thank Chi-Wang Shu (Brown University) for helpful advice. Further, the authors would like to thank the anonymous referees for many helpful suggestions, resulting in an improved presentation of this work. Jan Glaubitz’ work was supported by the German Research Foundation (DFG, Deutsche Forschungsgemeinschaft) under grant SO 363/15-1. Anne Gelb’s work was partially supported by AFOSR9550-18-1-0316 and NSF-DMS 1502640.
