@Article{JCM-28-552,
author = {Susana Serna and Jianliang Qian},
title = {A Stopping Criterion for Higher-Order Sweeping Schemes for Static Hamilton-Jacobi Equations},
journal = {Journal of Computational Mathematics},
year = {2010},
volume = {28},
number = {4},
pages = {552--568},
abstract = {<p style="text-align: justify;">We propose an effective stopping criterion for higher-order fast sweeping schemes for static Hamilton-Jacobi equations based on ratios of three consecutive iterations. To design the new stopping criterion we analyze the convergence of the first-order Lax-Friedrichs sweeping scheme by using the theory of nonlinear iteration. In addition, we propose a fifth-order Weighted PowerENO sweeping scheme for static Hamilton-Jacobi equations with convex Hamiltonians and present numerical examples that validate the effectiveness of the new stopping criterion.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1003-m0016},
url = {http://global-sci.org/intro/article_detail/jcm/8536.html}
}