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.