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On an Adaptive LDG for the $P$-Laplace Problem

On an Adaptive LDG for the $P$-Laplace Problem

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.

Author Details

Dongjie Liu

Le Zhou

Xiaoping Zhang