Constitutive-relation-error-based a posteriori error bounds for a class of elliptic variational inequalities

Mengwu Guo*, Hongzhi Zhong (Corresponding Author)

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)

Abstract

On the basis of the dual variational formulation of a class of elliptic variational inequalities, a constitutive relation error is defined for the variational inequalities as an a posteriori error estimator, which is shown to guarantee strict upper bounds of the global energy-norm errors of kinematically admissible solutions. A numerical example is presented to validate the strictly bounding property of the constitutive relation error for the variational inequalities in question.
Original languageEnglish
Pages (from-to)14-23
JournalApplied mathematics letters
Volume71
DOIs
Publication statusPublished - 2017
Externally publishedYes

Keywords

  • Constitutive relation error (CRE)
  • A posteriori error estimation
  • Strict bound
  • Elliptic variational inequality
  • Dual variational formulation

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