@inproceedings{e6140271ebef4b7cb313fdb3ba23f38e,
title = "Energy stable high order finite difference methods on staggered grids: An initial investigation",
abstract = "We consider wave equations in first-order form and derive provably stable, high order finite difference operators on staggered grids. This is the first time that stability has been proven for initial boundary value problems for wave equations on staggered grids. The staggered grid operators are in summation-by-parts form and when combined with weak boundary conditions, lead to an energy stable scheme. Numerical computations for the two dimensional acoustic wave equation in Cartesian geometries corroborate the theoretical developments.",
keywords = "Energy stability, High order finite difference methods, Staggered grids, Summation-by-parts, Wave Equations, Weak boundary conditions",
author = "Ossian O'Reilly and Tomas Lundquist and Jan Nordstr{\"o}m",
year = "2016",
doi = "10.7712/100016.2027.11578",
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 = "3211--3223",
editor = "G. Stefanou and M. Papadrakakis and V. Papadopoulos and V. Plevris",
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",
}