Strict upper and lower bounds for quantities of interest in static response sensitivity analysis

Mengwu Guo*, Hongzhi Zhong*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
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In this paper, a goal-oriented error estimation technique for static response sensitivity analysis is proposed based on the constitutive relation error (CRE) estimation for finite element analysis (FEA). Strict upper and lower bounds of various quantities of interest (QoI) that are associated with the response sensitivity derivative fields are acquired. Numerical results are presented to assess the strict bounding properties of the proposed technique.
Original languageEnglish
Pages (from-to)17-34
JournalApplied mathematical modelling
Publication statusPublished - 2017
Externally publishedYes


  • Strict bounds
  • Goal-oriented error estimation
  • Constitutive relation error
  • Sensitivity derivative
  • Perturbation method

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