Robust FEM-Based Extraction of Finite-Time Coherent Sets Using Scattered, Sparse, and Incomplete Trajectories

@article{Froyland2018RobustFE,
  title={Robust FEM-Based Extraction of Finite-Time Coherent Sets Using Scattered, Sparse, and Incomplete Trajectories},
  author={G. Froyland and O. Junge},
  journal={SIAM J. Appl. Dyn. Syst.},
  year={2018},
  volume={17},
  pages={1891-1924}
}
  • G. Froyland, O. Junge
  • Published 2018
  • Computer Science, Mathematics, Physics
  • SIAM J. Appl. Dyn. Syst.
  • Transport and mixing properties of aperiodic flows are crucial to a dynamical analysis of the flow, and often have to be carried out with limited information. Finite-time coherent sets are regions of the flow that minimally mix with the remainder of the flow domain over the finite period of time considered. In the purely advective setting this is equivalent to identifying sets whose boundary interfaces remain small throughout their finite-time evolution. Finite-time coherent sets thus provide a… CONTINUE READING
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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 39 REFERENCES
    On fast computation of finite-time coherent sets using radial basis functions.
    18
    Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion
    66
    An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems
    84
    Transport in time-dependent dynamical systems: finite-time coherent sets.
    130
    A multiscale measure for mixing
    129
    Statistically optimal almost-invariant sets
    105