@Article{CiCP-16-541,
author = {Jan Nordström, Qaisar Abbas, Brittany A. Erickson and Hannes Frenander},
title = {A Flexible Boundary Procedure for Hyperbolic Problems: Multiple Penalty Terms Applied in a Domain},
journal = {Communications in Computational Physics},
year = {2014},
volume = {16},
number = {2},
pages = {541--570},
abstract = {<p style="text-align: justify;">A new weak boundary procedure for hyperbolic problems is presented. We
consider high order finite difference operators of summation-by-parts form with weak
boundary conditions and generalize that technique. The new boundary procedure is
applied near boundaries in an extended domain where data is known. We show how
to raise the order of accuracy of the scheme, how to modify the spectrum of the resulting
operator and how to construct non-reflecting properties at the boundaries. The
new boundary procedure is cheap, easy to implement and suitable for all numerical
methods, not only finite difference methods, that employ weak boundary conditions.
Numerical results that corroborate the analysis are presented.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.020313.120314a},
url = {http://global-sci.org/intro/article_detail/cicp/7053.html}
}