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 publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)210-224
Number of pages15
JournalInternational Journal of Numerical Analysis and Modeling
Volume16
Issue number2
Publication statusPublished - 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