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Some Inverse Problems of Two-Dimensional Stokes Flows by the Method of Fundamental Solutions and Kalman Filter

Author

Listed:
  • Yeqin Shao

    (School of Transportation and Civil Engineering, Nantong University, No. 9, Seyuan Rd., Nantong 226019, China
    School of Information Science and Technology, Nantong University, Nantong 226019, China)

  • Quan Jiang

    (School of Transportation and Civil Engineering, Nantong University, No. 9, Seyuan Rd., Nantong 226019, China
    School of Science, Nantong University, No. 9, Seyuan Rd., Nantong 226019, China)

Abstract

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.

Suggested Citation

  • Yeqin Shao & Quan Jiang, 2023. "Some Inverse Problems of Two-Dimensional Stokes Flows by the Method of Fundamental Solutions and Kalman Filter," Mathematics, MDPI, vol. 12(1), pages 1-26, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2023:i:1:p:46-:d:1305990
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    References listed on IDEAS

    as
    1. Yang, Ting & Tang, Mingchun & Wang, Pin & Zhang, Xinzheng, 2016. "Suitable or optimal noise benefits in signal detectionAuthor-Name: Liu, Shujun," Chaos, Solitons & Fractals, Elsevier, vol. 85(C), pages 84-97.
    2. Felipe I. Villenas & Francisco J. Vargas & Andrés A. Peters, 2023. "A Kalman-Based Compensation Strategy for Platoons Subject to Data Loss: Numerical and Empirical Study," Mathematics, MDPI, vol. 11(5), pages 1-26, March.
    Full references (including those not matched with items on IDEAS)

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