@Article{NMTMA-11-618,
author = {Antoine Benoit},
title = {Semi-Group Stability of Finite Difference Schemes in Corner Domains},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2018},
volume = {11},
number = {3},
pages = {618--654},
abstract = {<p style="text-align: justify;">In this article we are interested in the semi-group stability for finite difference schemes approximations of hyperbolic systems of equations in corner domains. We give generalizations of the results of [10] and [9] from the half space geometry to the quarter space geometry. The most interesting fact is that the proofs of [10] and [9] can be adaptated with minor changes to apply in the quarter space geometry. This is due to the fact that both methods in [10] and [9] are based on energy methods and the construction of auxiliary problems with strictly dissipative boundary conditions which are known to be suitable for the strong well-posed for initial boundary value problems in the quarter space.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2017-OA-0072},
url = {http://global-sci.org/intro/article_detail/nmtma/12447.html}
}