Finite determining parameters feedback control for distributed nonlinear dissipative systems-a computational study
We present a computational study of a simple finite-dimensional feedback control algorithm
for stabilizing solutions of infinite-dimensional dissipative evolution equations such as …
for stabilizing solutions of infinite-dimensional dissipative evolution equations such as …
Dynamically learning the parameters of a chaotic system using partial observations
Motivated by recent progress in data assimilation, we develop an algorithm to dynamically
learn the parameters of a chaotic system from partial observations. Under reasonable …
learn the parameters of a chaotic system from partial observations. Under reasonable …
Parameter recovery for the 2 dimensional Navier--Stokes equations via continuous data assimilation
We study a continuous data assimilation algorithm proposed by Azouani, Olson, and Titi
(AOT) in the context of an unknown viscosity. We determine the large-time error between the …
(AOT) in the context of an unknown viscosity. We determine the large-time error between the …
On the Charney conjecture of data assimilation employing temperature measurements alone: the paradigm of 3D planetary geostrophic model
Analyzing the validity and success of a data assimilation algorithmwhen some state variable
observations are not available is an important problem in meteorology and engineering. We …
observations are not available is an important problem in meteorology and engineering. We …
Efficient dynamical downscaling of general circulation models using continuous data assimilation
Continuous data assimilation (CDA) is successfully implemented for the first time for efficient
dynamical downscaling of a global atmospheric reanalysis. A comparison of the …
dynamical downscaling of a global atmospheric reanalysis. A comparison of the …
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm
We study a nonlinear-nudging modification of the Azouani–Olson–Titi continuous data
assimilation (downscaling) algorithm for the 2D incompressible Navier–Stokes equations …
assimilation (downscaling) algorithm for the 2D incompressible Navier–Stokes equations …
Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier–Stokes equations
A Larios, LG Rebholz, C Zerfas - Computer Methods in Applied Mechanics …, 2019 - Elsevier
We study numerical schemes for incompressible Navier–Stokes equations using IMEX
temporal discretizations, finite element spatial discretizations, and equipped with continuous …
temporal discretizations, finite element spatial discretizations, and equipped with continuous …
Data assimilation with model error: Analytical and computational study for Sabra shell model
Understanding the impact of model error on data assimilation is an important practical topic.
Model error in the subgrid scale is commonly seen in various applications as a natural …
Model error in the subgrid scale is commonly seen in various applications as a natural …
Uniform-in-time error estimates for the postprocessing Galerkin method applied to a data assimilation algorithm
CF Mondaini, ES Titi - SIAM Journal on Numerical Analysis, 2018 - SIAM
We apply the postprocessing Galerkin method to a recently introduced continuous data
assimilation (downscaling) algorithm for obtaining a numerical approximation of the solution …
assimilation (downscaling) algorithm for obtaining a numerical approximation of the solution …
The bleeps, the sweeps, and the creeps: convergence rates for dynamic observer patterns via data assimilation for the 2D Navier–Stokes equations
We adapt a continuous data assimilation scheme, known as the Azouani–Olson–Titi (AOT)
algorithm, to the case of moving observers for the 2D incompressible Navier–Stokes …
algorithm, to the case of moving observers for the 2D incompressible Navier–Stokes …