@Article{IJNAM-10-154,
author = {Tao Xiong, Chi-Wang Shu and Mengping Zhang},
title = {A Priori Error Estimates for Semi-Discrete Discontinuous Galerkin Methods Solving Nonlinear Hamilton-Jacobi Equations with Smooth Solutions},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2013},
volume = {10},
number = {1},
pages = {154--177},
abstract = {<p style="text-align: justify;">In this paper, we provide a priori $L^2$ error estimates for the semi-discrete discontinuous
Galerkin method [3] and the local discontinuous Galerkin method [22] for one- and two-dimensional
nonlinear Hamilton-Jacobi equations with smooth solutions. With a special Gauss-Radau projection,
the optimal error estimates on rectangular meshes are obtained.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/563.html}
}