@Article{IJNAM-16-2,
author = {Yang, Wei and Luling, Cao and Yunqing, Huang and Jintao, Cui},
title = {A New $a$ $Posteriori$ Error Estimate for the Interior Penalty Discontinuous Galerkin Method},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2019},
volume = {16},
number = {2},
pages = {210--224},
abstract = {<p style="text-align: justify;">In this paper, we develop the adaptive interior penalty discontinuous Galerkin method
based on a new $a$ $posteriori$ error estimate for the second-order elliptic boundary-value problems.
The new $a$ $posteriori$ error estimate is motivated from the smoothing iteration of the $m$-time
Gauss-Seidel iterative method, and it is used to construct the adaptive finite element method.
The efficiency and robustness of the proposed adaptive method is demonstrated by extensive
numerical experiments.</p>},
issn = {2617-8710},
doi = {https://doi.org/2019-IJNAM-12800},
url = {https://global-sci.com/article/83058/a-new-a-posteriori-error-estimate-for-the-interior-penalty-discontinuous-galerkin-method}
}