A tent pitching scheme motivated by Friedrichs theory
Numerical Analysis
2015-07-20 v4
Abstract
Certain Friedrichs systems can be posed on Hilbert spaces normed with a graph norm. Functions in such spaces arising from advective problems are found to have traces with a weak continuity property at points where the inflow and outflow boundaries meet. Motivated by this continuity property, an explicit space-time finite element scheme of the tent pitching type, with spaces that conform to the continuity property, is designed. Numerical results for a model one-dimensional wave propagation problem are presented.
Cite
@article{arxiv.1502.05369,
title = {A tent pitching scheme motivated by Friedrichs theory},
author = {Jay Gopalakrishnan and Peter Monk and Paulina Sepulveda},
journal= {arXiv preprint arXiv:1502.05369},
year = {2015}
}