@inproceedings{2bff5f7b75d14e249ac8c6bbccdc5a24,
title = "A multigrid formulation for finite difference methods on summation-by-parts form: An initial investigation",
abstract = "Several multigrid iteration schemes for high order finite difference methods are studied by comparing the effect of different interpolation operators. The usual choice of prolongation and restriction operators based on linear interpolation in combination with the Galerkin condition leads to coarse grid operators which are less accurate than their fine grid counterparts. Moreover, these operators do not mimic the integration-by-parts property possessed by the original fine grid summation-by-part schemes and hence are intuitively less stable. In this paper, an alternative class of interpolation operators is considered to overcome these issues and improve the stability of the overall multigrid iteration scheme. As a pleasant side effect we find that also the efficiency of the iteration scheme is improved.",
keywords = "High order finite difference methods, Improved convergence, Multigrid, Restriction and prolongation operators, Summation-by-parts",
author = "Ruggiu, {Andrea A.} and Per Weinerfelt and Tomas Lundquist and Jan Nordstr{\"o}m",
year = "2016",
doi = "10.7712/100016.2333.4918",
language = "English",
series = "ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering",
publisher = "National Technical University of Athens",
pages = "7274--7284",
editor = "M. Papadrakakis and V. Plevris and G. Stefanou and V. Papadopoulos",
booktitle = "ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering",
address = "United States",
note = "7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 ; Conference date: 05-06-2016 Through 10-06-2016",
}