Year: 2022
Author: Dongjie Liu, Le Zhou, Xiaoping Zhang
International Journal of Numerical Analysis and Modeling, Vol. 19 (2022), Iss. 2-3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2022-IJNAM-20483
International Journal of Numerical Analysis and Modeling, Vol. 19 (2022), Iss. 2-3 : pp. 315–328
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: $p$-Laplace local discontinuous Galerkin methods quasi-norm a posteriori error estimate.