TY - JOUR
T1 - On an Adaptive LDG for the $P$-Laplace Problem 
AU - Liu , Dongjie
AU - Zhou , Le
AU - Zhang , Xiaoping
JO - International Journal of Numerical Analysis and Modeling
VL - 2-3
SP - 315
EP - 328
PY - 2022
DA - 2022/04
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/20483.html
KW - $p$-Laplace, local discontinuous Galerkin methods, quasi-norm, a posteriori error estimate.
AB - <p style="text-align: justify;">In this paper we consider the adaptive local discontinuous Galerkin(LDG) method
for the $p$-Laplace problem in polygonal regions in $\mathbb{R}^2$. We present new sharper a posteriori error
estimate for the LDG approximation of the $p$-Laplacian in the new framework. Several examples
are given to confirm the reliability of the estimate.</p>