@Article{JCM-33-227,
author = {Kim , Kwangil and Li , Yonghai},
title = {Convergence of Finite Volume Schemes for Hamilton-Jacobi Equations with Dirichlet Boundary Conditions},
journal = {Journal of Computational Mathematics},
year = {2015},
volume = {33},
number = {3},
pages = {227--247},
abstract = {<p style="text-align: justify;">We study numerical methods for time-dependent Hamilton-Jacobi equations with weak Dirichlet boundary conditions. We first propose a new class of abstract monotone approximation schemes and get a convergence rate of 1/2 . Then, according to the abstract convergence results, by newly constructing monotone finite volume approximations on interior and boundary points, we obtain convergent finite volume schemes for time-dependent Hamilton-Jacobi equations with weak Dirichlet boundary conditions. Finally give some numerical results.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1411-m4406},
url = {http://global-sci.org/intro/article_detail/jcm/9839.html}
}