Robust FEM-Based Extraction of Finite-Time Coherent Sets Using Scattered, Sparse, and Incomplete Trajectories
DOI10.1137/17M1129738zbMath1408.37139arXiv1705.03640OpenAlexW2963160545WikidataQ129599393 ScholiaQ129599393MaRDI QIDQ4686614
Publication date: 4 October 2018
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.03640
finite element methodmixingLagrangian coherent structureisoperimetric theorydynamic Laplacianfinite-time coherent sets
Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)
Related Items (21)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geometry of the ergodic quotient reveals coherent structures in flows
- A new finite element scheme for Landau-Lifschitz equations
- Coherent sets for nonautonomous dynamical systems
- Transport in Hamiltonian systems
- Spectral partitioning with multiple eigenvectors
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains
- Statistically optimal almost-invariant sets
- About Delaunay triangulations and discrete maximum principles for the linear conforming FEM applied to the Poisson equation.
- Transport in two-dimensional maps
- An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems
- A multiscale measure for mixing
- Coherent Lagrangian vortices: the black holes of turbulence
- Transport in Transitory Dynamical Systems
- Using multiscale norms to quantify mixing and transport
- Dynamic isoperimetry and the geometry of Lagrangian coherent structures
- On the shape of a set of points in the plane
- Chaotic streamlines in the ABC flows
- On the Approximation of Complicated Dynamical Behavior
- Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles
- A method for visualization of invariant sets of dynamical systems based on the ergodic partition
- A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data
- On fast computation of finite-time coherent sets using radial basis functions
- Understanding the geometry of transport: Diffusion maps for Lagrangian trajectory data unravel coherent sets
- Transport in time-dependent dynamical systems: Finite-time coherent sets
- Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion
- The Isoperimetric Problem
- Scattered Data Approximation
- Distinguished material surfaces and coherent structures in three-dimensional fluid flows
This page was built for publication: Robust FEM-Based Extraction of Finite-Time Coherent Sets Using Scattered, Sparse, and Incomplete Trajectories