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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. p. 135-139 8880222 (2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019).

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

Harvard

Penenko, A, Mukatova, Z & Salimova, A 2019, Numerical Solution of the Coefficient Inverse Problem for a Production-Destruction Model with Various Adjoint Ensemble Designs. in 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019., 8880222, 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019, Institute of Electrical and Electronics Engineers Inc., pp. 135-139, 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019, Novosibirsk, Russian Federation, 26.08.2019. https://doi.org/10.1109/OPCS.2019.8880222

APA

Penenko, A., Mukatova, Z., & Salimova, A. (2019). Numerical Solution of the Coefficient Inverse Problem for a Production-Destruction Model with Various Adjoint Ensemble Designs. In 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019 (pp. 135-139). [8880222] (2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/OPCS.2019.8880222

Vancouver

Penenko A, Mukatova Z, Salimova A. Numerical Solution of the Coefficient Inverse Problem for a Production-Destruction Model with Various Adjoint Ensemble Designs. In 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 135-139. 8880222. (2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019). doi: 10.1109/OPCS.2019.8880222

Author

Penenko, Alexey ; Mukatova, Zhadyra ; Salimova, Akzhan. / Numerical Solution of the Coefficient Inverse Problem for a Production-Destruction Model with Various Adjoint Ensemble Designs. 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 135-139 (2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019).

BibTeX

@inproceedings{5a4440ee5234494fa8ee4630b7931787,
title = "Numerical Solution of the Coefficient Inverse Problem for a Production-Destruction Model with Various Adjoint Ensemble Designs",
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.",
keywords = "adjoint ensemble, adjoint equations, inverse coefficient problems, local convergence, sensitivity operator",
author = "Alexey Penenko and Zhadyra Mukatova and Akzhan Salimova",
note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019 ; Conference date: 26-08-2019 Through 30-08-2019",
year = "2019",
month = aug,
doi = "10.1109/OPCS.2019.8880222",
language = "English",
series = "2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "135--139",
booktitle = "2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019",
address = "United States",

}

RIS

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