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Estimation of Shallow Water Flow Based on Kalman Filter FEM

In: Perusal of the Finite Element Method

Author

Listed:
  • Takahiko Kurahashi
  • Taichi Yoshiara
  • Yasuhide Kobayashi

Abstract

In this chapter, we present numerical examples of an estimation of shallow water flow based on Kalman filter finite element method (Kalman filter FEM). Shallow water equations are adopted as the governing equations. The Galerkin method, using triangular elements, is employed to discretize the governing equation in space, and the selective lumping method is used to discretize time. We describe the influence on the numerical results of setting the observation points.

Suggested Citation

  • Takahiko Kurahashi & Taichi Yoshiara & Yasuhide Kobayashi, 2016. "Estimation of Shallow Water Flow Based on Kalman Filter FEM," Chapters, in: Radostina Vasileva Petrova (ed.), Perusal of the Finite Element Method, IntechOpen.
    • Handle: RePEc:ito:pchaps:106148
    DOI: 10.5772/64595
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    More about this item

    Keywords

    Kalman filter FEM; shallow water equation; Galerkin method; selective lumping method;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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