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A New a Posteriori Error Estimate for the Interior Penalty Discontinuous Galerkin Method

A New $a$ $Posteriori$ Error Estimate for the Interior Penalty Discontinuous Galerkin Method

Year:    2019

Author:    Wei Yang, Luling Cao, Yunqing Huang, Jintao Cui

International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 2 : pp. 210–224

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2019-IJNAM-12800

International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 2 : pp. 210–224

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Interior penalty discontinuous Galerkin method a posteriori error estimate adaptive finite element methods Gauss-Seidel iterative method.

Author Details

Wei Yang Email

Luling Cao Email

Yunqing Huang Email

Jintao Cui Email