Some Inverse Problems of Two-Dimensional Stokes Flows by the Method of Fundamental Solutions and Kalman Filter
Some inverse problems of Stokes flow, including noisy boundary conditions, unknown angular velocity, and dynamic viscous constant identification are studied in this paper. The interpolation equations for those inverse problems are constructed using the method of fundamental solutions (MFS). Based on...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-12-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/12/1/46 |
| _version_ | 1797358487812964352 |
|---|---|
| author | Yeqin Shao Quan Jiang |
| author_facet | Yeqin Shao Quan Jiang |
| author_sort | Yeqin Shao |
| collection | DOAJ |
| description | Some inverse problems of Stokes flow, including noisy boundary conditions, unknown angular velocity, and dynamic viscous constant identification are studied in this paper. The interpolation equations for those inverse problems are constructed using the method of fundamental solutions (MFS). Based on the noise addition technique, the inverse problems are solved using MFS and a Kalman filter. It is seen from numerical experiments that these approaches and algorithms are valid and have strong robustness and high accuracy in solving inverse Stokes problems. |
| first_indexed | 2024-03-08T15:02:45Z |
| format | Article |
| id | doaj.art-be97e31958fe42758abfe5930e6aaf26 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-08T15:02:45Z |
| publishDate | 2023-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-be97e31958fe42758abfe5930e6aaf262024-01-10T15:03:24ZengMDPI AGMathematics2227-73902023-12-011214610.3390/math12010046Some Inverse Problems of Two-Dimensional Stokes Flows by the Method of Fundamental Solutions and Kalman FilterYeqin Shao0Quan Jiang1School of Transportation and Civil Engineering, Nantong University, No. 9, Seyuan Rd., Nantong 226019, ChinaSchool of Transportation and Civil Engineering, Nantong University, No. 9, Seyuan Rd., Nantong 226019, ChinaSome inverse problems of Stokes flow, including noisy boundary conditions, unknown angular velocity, and dynamic viscous constant identification are studied in this paper. The interpolation equations for those inverse problems are constructed using the method of fundamental solutions (MFS). Based on the noise addition technique, the inverse problems are solved using MFS and a Kalman filter. It is seen from numerical experiments that these approaches and algorithms are valid and have strong robustness and high accuracy in solving inverse Stokes problems.https://www.mdpi.com/2227-7390/12/1/46Stokes flowinverse problemmethod of fundamental solutionsKalman filternoise addition |
| spellingShingle | Yeqin Shao Quan Jiang Some Inverse Problems of Two-Dimensional Stokes Flows by the Method of Fundamental Solutions and Kalman Filter Mathematics Stokes flow inverse problem method of fundamental solutions Kalman filter noise addition |
| title | Some Inverse Problems of Two-Dimensional Stokes Flows by the Method of Fundamental Solutions and Kalman Filter |
| title_full | Some Inverse Problems of Two-Dimensional Stokes Flows by the Method of Fundamental Solutions and Kalman Filter |
| title_fullStr | Some Inverse Problems of Two-Dimensional Stokes Flows by the Method of Fundamental Solutions and Kalman Filter |
| title_full_unstemmed | Some Inverse Problems of Two-Dimensional Stokes Flows by the Method of Fundamental Solutions and Kalman Filter |
| title_short | Some Inverse Problems of Two-Dimensional Stokes Flows by the Method of Fundamental Solutions and Kalman Filter |
| title_sort | some inverse problems of two dimensional stokes flows by the method of fundamental solutions and kalman filter |
| topic | Stokes flow inverse problem method of fundamental solutions Kalman filter noise addition |
| url | https://www.mdpi.com/2227-7390/12/1/46 |
| work_keys_str_mv | AT yeqinshao someinverseproblemsoftwodimensionalstokesflowsbythemethodoffundamentalsolutionsandkalmanfilter AT quanjiang someinverseproblemsoftwodimensionalstokesflowsbythemethodoffundamentalsolutionsandkalmanfilter |