@inproceedings{ebbf889e609641c7a18d97fc4e112134,
title = "Multigrid schemes for high order discretizations of hyperbolic problems",
abstract = "Total variation diminishing multigrid methods have been developed for first or-der accurate discretizations of hyperbolic conservation laws. This technique is based on a so-called upwind biased residual interpolation and allows for algorithms devoid of spurious numerical oscillations in the transient phase. In this paper, we justify the introduction of such prolongation and restriction opera-tors by rewriting the algorithm in a matrix-vector notation. This perspective sheds new light on multigrid procedures for hyperbolic problems and provides a direct extension for high order accurate difference approximations. The new multigrid procedure is presented, advantages and disadvantages are discussed and numerical experiments are performed.",
author = "Ruggiu, {Andrea A.} and Jan Nordstr{\"o}m",
note = "Publisher Copyright: {\textcopyright} 2019, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.; AIAA Scitech Forum, 2019 ; Conference date: 07-01-2019 Through 11-01-2019",
year = "2019",
doi = "10.2514/6.2019-0103",
language = "English",
isbn = "9781624105784",
series = "AIAA Scitech 2019 Forum",
publisher = "American Institute of Aeronautics and Astronautics Inc, AIAA",
booktitle = "AIAA Scitech 2019 Forum",
}