A new a Posteriori error estimate for the interior penalty discontinuous Galerkin method

Wei Yang; Luling Cao; Yunqing Huang; Jintao Cui

A new a Posteriori error estimate for the interior penalty discontinuous Galerkin method

Wei Yang
, Luling Cao
, Yunqing Huang
, Jintao Cui

Research output: Journal article publication › Journal article › Academic research › peer-review

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.

Original language	English
Pages (from-to)	210-224
Number of pages	15
Journal	International Journal of Numerical Analysis and Modeling
Volume	16
Issue number	2
Publication status	Published - Jan 2019

Keywords

A posteriori error estimate
Adaptive finite element methods
Gauss-Seidel iterative method
Interior penalty discontinuous Galerkin method

ASJC Scopus subject areas

Numerical Analysis

Cite this

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title = "A new a Posteriori error estimate for the interior penalty discontinuous Galerkin method",

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.",

keywords = "A posteriori error estimate, Adaptive finite element methods, Gauss-Seidel iterative method, Interior penalty discontinuous Galerkin method",

author = "Wei Yang and Luling Cao and Yunqing Huang and Jintao Cui",

year = "2019",

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AU - Yang, Wei

AU - Cao, Luling

AU - Huang, Yunqing

AU - Cui, Jintao

PY - 2019/1

Y1 - 2019/1

N2 - 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.

AB - 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.

KW - A posteriori error estimate

KW - Adaptive finite element methods

KW - Gauss-Seidel iterative method

KW - Interior penalty discontinuous Galerkin method

UR - https://www.scopus.com/pages/publications/85055622414

M3 - Journal article

AN - SCOPUS:85055622414

SN - 1705-5105

VL - 16

SP - 210

EP - 224

JO - International Journal of Numerical Analysis and Modeling

JF - International Journal of Numerical Analysis and Modeling

IS - 2

ER -

A new a Posteriori error estimate for the interior penalty discontinuous Galerkin method

Abstract

Keywords

ASJC Scopus subject areas

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