@Article{NM-16-112,
author = { L. Jiang and C. J. Xu },
title = {Spectral Element Viscosity Methods for Nonlinear Conservaion Laws on the Semi-Infinte Interval},
journal = {Numerical Mathematics, a Journal of Chinese Universities},
year = {2007},
volume = {16},
number = {2},
pages = {112--130},
abstract = {
In this paper we propose a spectral element vanishing viscosity
(SEVV) method for the conservation laws on the semi-infinite
interval. By using a suitable mapping, the problem is first
transformed into a modified conservation law in a bounded interval,
then the well-known spectral vanishing viscosity technique is
generalized to the multi-domain case in order to approximate this
transformed equation more efficiently. The construction details and
convergence analysis are presented. Under a usual assumption of
boundedness of the approximation solutions, it is proven that the
solution of the SEVV approximation converges to the unique entropy
solution of the conservation laws. A number of numerical tests is
carried out to confirm the theoretical results.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/nm/8050.html}
}