Retrieval of initial condition for Burgers' equation using reduced-order EnKF via POD-based sparse observations

DOI10.3934/jimo.2022128OpenAlexW4288784830MaRDI QIDQ2691379

Yanyan Li

Publication date: 29 March 2023

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2022128

zbMATH Keywords

Burgers' equationdata assimilationensemble Kalman filtersparse observationsQD algorithm

Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20) Ill-posedness and regularization problems in numerical linear algebra (65F22)

Uses Software

• EnKF

Cites Work

• Stable \textit{a posteriori} LES of 2D turbulence using convolutional neural networks: backscattering analysis and generalization to higher \(Re\) via transfer learning
• A time-parallel approach to strong-constraint four-dimensional variational data assimilation
• Inverse problems: A Bayesian perspective
• Nonlinear Model Reduction via Discrete Empirical Interpolation
• Dynamic mode decomposition of numerical and experimental data
• Efficiency of a POD-based reduced second-order adjoint model in 4D-Var data assimilation
• Sensor Selection via Convex Optimization
• Estimating Parameters in Physical Models through Bayesian Inversion: A Complete Example
• Data-Driven Sparse Sensor Placement for Reconstruction: Demonstrating the Benefits of Exploiting Known Patterns

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