Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Numerical Solution of the Coefficient Inverse Problem for a Production-Destruction Model with Various Adjoint Ensemble Designs. / Penenko, Alexey; Mukatova, Zhadyra; Salimova, Akzhan.
2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019. Institute of Electrical and Electronics Engineers Inc., 2019. стр. 135-139 8880222 (2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - Numerical Solution of the Coefficient Inverse Problem for a Production-Destruction Model with Various Adjoint Ensemble Designs
AU - Penenko, Alexey
AU - Mukatova, Zhadyra
AU - Salimova, Akzhan
N1 - Publisher Copyright: © 2019 IEEE.
PY - 2019/8
Y1 - 2019/8
N2 - 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.
AB - 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.
KW - adjoint ensemble
KW - adjoint equations
KW - inverse coefficient problems
KW - local convergence
KW - sensitivity operator
UR - http://www.scopus.com/inward/record.url?scp=85078031387&partnerID=8YFLogxK
U2 - 10.1109/OPCS.2019.8880222
DO - 10.1109/OPCS.2019.8880222
M3 - Conference contribution
T3 - 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019
SP - 135
EP - 139
BT - 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019
Y2 - 26 August 2019 through 30 August 2019
ER -
ID: 23244598