LAPSE:2023.2199
Published Article
LAPSE:2023.2199
A Homotopy Method for the Constrained Inverse Problem in the Multiphase Porous Media Flow
February 21, 2023
Abstract
This paper considers the constrained inverse problem based on the nonlinear convection-diffusion equation in the multiphase porous media flow. To solve this problem, a widely convergent homotopy method is introduced and proposed. To evaluate the performance of the mentioned method, two numerical examples are presented. This method turns out to have wide convergence region and strong anti-noise ability.
This paper considers the constrained inverse problem based on the nonlinear convection-diffusion equation in the multiphase porous media flow. To solve this problem, a widely convergent homotopy method is introduced and proposed. To evaluate the performance of the mentioned method, two numerical examples are presented. This method turns out to have wide convergence region and strong anti-noise ability.
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Keywords
constraints, homotopy method, inverse problem, multiphase porous media flow
Suggested Citation
Liu T, Xia K, Zheng Y, Yang Y, Qiu R, Qi Y, Liu C. A Homotopy Method for the Constrained Inverse Problem in the Multiphase Porous Media Flow. (2023). LAPSE:2023.2199
Author Affiliations
Liu T: School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China [ORCID]
Xia K: School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China
Zheng Y: School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore
Yang Y: Eighth Geological Brigade, Hebei Bureau of Geology and Mineral Resources Exploration, Qinhuangdao 066000, China
Qiu R: Eighth Geological Brigade, Hebei Bureau of Geology and Mineral Resources Exploration, Qinhuangdao 066000, China
Qi Y: Eighth Geological Brigade, Hebei Bureau of Geology and Mineral Resources Exploration, Qinhuangdao 066000, China
Liu C: School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China
Xia K: School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China
Zheng Y: School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore
Yang Y: Eighth Geological Brigade, Hebei Bureau of Geology and Mineral Resources Exploration, Qinhuangdao 066000, China
Qiu R: Eighth Geological Brigade, Hebei Bureau of Geology and Mineral Resources Exploration, Qinhuangdao 066000, China
Qi Y: Eighth Geological Brigade, Hebei Bureau of Geology and Mineral Resources Exploration, Qinhuangdao 066000, China
Liu C: School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China
Journal Name
Processes
Volume
10
Issue
6
First Page
1143
Year
2022
Publication Date
2022-06-07
ISSN
2227-9717
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Original Submission
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PII: pr10061143, Publication Type: Journal Article
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LAPSE:2023.2199
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https://doi.org/10.3390/pr10061143
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Feb 21, 2023
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Feb 21, 2023
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