@Article{JCM-28-552, author = {}, 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 = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1003-m0016}, url = {http://global-sci.org/intro/article_detail/jcm/8536.html} }