@Article{IJNAM-19-315, author = {Liu , DongjieZhou , Le and Zhang , Xiaoping}, title = {On an Adaptive LDG for the $P$-Laplace Problem }, journal = {International Journal of Numerical Analysis and Modeling}, year = {2022}, volume = {19}, number = {2-3}, pages = {315--328}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/20483.html} }