@inproceedings{a8655108679f4584a0ea5151704776bb,
title = "Well-posedness, stability and conservation for a discontinuous interface problem: An initial investigation",
abstract = "A robust interface treatment for the discontinuous coefficient advection equation satisfying time-independent jump conditions is presented. The aim of the investigation is to show how the different concepts like well-posedness, conservation and stability are related. The equations are discretized using high order finite difference methods on Summation By Parts (SBP) form. The interface conditions are weakly imposed using the Simultaneous Approximation Term (SAT) procedure. Spectral analysis and numerical simulations corroborate the theoretical findings.",
author = "{La Cognata}, Cristina and Jan Nordstr{\"o}m",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2015.; 10th International Conference on Spectral and High-Order Methods, ICOSAHOM 2014 ; Conference date: 23-06-2014 Through 27-06-2014",
year = "2015",
doi = "10.1007/978-3-319-19800-2_11",
language = "English",
isbn = "9783319197999",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Verlag",
pages = "147--155",
editor = "Kirby, {Robert M.} and Martin Berzins and Hesthaven, {Jan S.}",
booktitle = "Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2014, Selected papers from the ICOSAHOM",
address = "Germany",
}