Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/171714
Full metadata record
DC FieldValueLanguage
dc.contributor.authorLiu, Taoen_US
dc.contributor.authorDing, Zijianen_US
dc.contributor.authorYu, Jiayuanen_US
dc.contributor.authorZhang, Wenwenen_US
dc.date.accessioned2023-11-06T03:25:58Z-
dc.date.available2023-11-06T03:25:58Z-
dc.date.issued2023-
dc.identifier.citationLiu, T., Ding, Z., Yu, J. & Zhang, W. (2023). Parameter estimation for nonlinear diffusion problems by the constrained homotopy method. Mathematics, 11(12), 2642-. https://dx.doi.org/10.3390/math11122642en_US
dc.identifier.issn2227-7390en_US
dc.identifier.urihttps://hdl.handle.net/10356/171714-
dc.description.abstractThis paper studies a parameter estimation problem for the non-linear diffusion equation within multiphase porous media flow, which has important applications in the field of oil reservoir simulation. First, the given problem is transformed into an optimization problem by using optimal control framework and the constraints such as well logs, which can restrain noise and improve the quality of inversion, are introduced. Then we propose the widely convergent homotopy method, which makes natural use of constraints and incorporates Tikhonov regularization. The effectiveness of the proposed approach is demonstrated on illustrative examples.en_US
dc.language.isoenen_US
dc.relation.ispartofMathematicsen_US
dc.rights© 2023 The authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).en_US
dc.subjectScience::Mathematicsen_US
dc.titleParameter estimation for nonlinear diffusion problems by the constrained homotopy methoden_US
dc.typeJournal Articleen
dc.contributor.schoolSchool of Electrical and Electronic Engineeringen_US
dc.identifier.doi10.3390/math11122642-
dc.description.versionPublished versionen_US
dc.identifier.scopus2-s2.0-85164120495-
dc.identifier.issue12en_US
dc.identifier.volume11en_US
dc.identifier.spage2642en_US
dc.subject.keywordsNon-linear Diffusion Problemen_US
dc.subject.keywordsInversionen_US
dc.description.acknowledgementThis research was funded by the Natural Science Foundation of Hebei Province of China (A2020501007), the Fundamental Research Funds for the Central Universities (N2123015), the Open Fund Project of Marine Ecological Restoration and Smart Ocean Engineering Research Center of Hebei Province (HBMESO2321), the Technical Service Project of Eighth Geological Brigade of Hebei Bureau of Geology and Mineral Resources Exploration (KJ2022-021).en_US
item.fulltextWith Fulltext-
item.grantfulltextopen-
Appears in Collections:EEE Journal Articles
Files in This Item:
File Description SizeFormat 
mathematics-11-02642.pdf400.86 kBAdobe PDFThumbnail
View/Open

SCOPUSTM   
Citations 50

8
Updated on Jul 16, 2024

Page view(s)

52
Updated on Jul 18, 2024

Download(s)

19
Updated on Jul 18, 2024

Google ScholarTM

Check

Altmetric


Plumx

Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.