$L^\infty(L^\infty)$-boundedness of DG($p$)-solutions for nonlinear conservation laws with boundary conditions
Numerical Analysis
2026-02-04 v1
Abstract
We prove the -boundedness of a higher-order shock-capturing streamline-diffusion DG-method based on polynomials of degree for general scalar conservation laws. The estimate is given for the case of several space dimensions and for conservation laws with initial and boundary conditions.
Keywords
Cite
@article{arxiv.1011.2750,
title = {$L^\infty(L^\infty)$-boundedness of DG($p$)-solutions for nonlinear conservation laws with boundary conditions},
author = {Lutz Angermann and Christian Henke},
journal= {arXiv preprint arXiv:1011.2750},
year = {2026}
}