A posteriori error estimates of hp-discontinuous Galerkin method for strongly nonlinear elliptic problems

Chunjia Bi, Cheng Wang, Yanping Lin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

3 Citations (Scopus)

Abstract

In this paper, we study the residual-based a posteriori error estimates of hp-discontinuous Galerkin finite element methods for strongly nonlinear elliptic boundary value problems. Computable upper and lower bounds on the error are derived in a natural mesh-dependent energy norm. The bounds are explicit in the local mesh size and the local degree of the approximating polynomial. Numerical experiments are also provided to illustrate the performance of the proposed estimators.
Original languageEnglish
Pages (from-to)140-166
Number of pages27
JournalComputer Methods in Applied Mechanics and Engineering
Volume297
DOIs
Publication statusPublished - 1 Jan 2015

Keywords

  • A posteriori error estimates
  • hp-discontinuous Galerkin method
  • Residual estimator
  • Strongly nonlinear elliptic problems

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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