Adaptive finite element approximation for distributed elliptic optimal control problems

Ruo Li*, Wenbin Liu, Heping Ma, Tao TANG

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

205 Citations (Scopus)

Abstract

In this paper, sharp a posteriori error estimators are derived for a class of distributed elliptic optimal control problems. These error estimators are shown to be useful in adaptive finite element approximation for the optimal control problems and are implemented in the adaptive approach. Our numerical results indicate that the sharp error estimators work satisfactorily in guiding the mesh adjustments and can save substantial computational work.

Original languageEnglish
Pages (from-to)1321-1349
Number of pages29
JournalSIAM Journal on Control and Optimization
Volume41
Issue number5
DOIs
Publication statusPublished - 2003

Scopus Subject Areas

  • Control and Optimization
  • Applied Mathematics

User-Defined Keywords

  • A posteriori error estimate
  • Finite element method
  • Mesh adaptivity
  • Optimal control

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