Numerical Solution of the Coefficient Inverse Problem for a Production-Destruction Model with Various Adjoint Ensemble Designs

Alexey Penenko, Zhadyra Mukatova, Akzhan Salimova

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

Coefficient inverse problems for non-stationary production-destruction models are considered. Such models are used in the studies of the chemical transformation processes. The objective of the work is to apply an approach, consisting in reducing the inverse problem to a quasi-linear matrix equation based on sensitivity operators constructed from an ensemble of independent solutions of adjoint equations. The sensitivity operator relates the variation of the observed values to the variation of the model coefficients. The Newton-Kantorovich-type algorithm is used to solve the obtained matrix equations. The impact of the ensemble construction on local convergence properties of the algorithm are studied numerically on the Brusselator model example.

Original languageEnglish
Title of host publication2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages135-139
Number of pages5
ISBN (Electronic)9781728129860
DOIs
Publication statusPublished - Aug 2019
Event15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019 - Novosibirsk, Russian Federation
Duration: 26 Aug 201930 Aug 2019

Publication series

Name2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019

Conference

Conference15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019
CountryRussian Federation
CityNovosibirsk
Period26.08.201930.08.2019

Keywords

  • adjoint ensemble
  • adjoint equations
  • inverse coefficient problems
  • local convergence
  • sensitivity operator

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