Simple and efficient continuous data assimilation of evolution equations via algebraic nudging
From MaRDI portal
Publication:6066502
DOI10.1002/num.22751arXiv1810.03512OpenAlexW3120401366WikidataQ115397407 ScholiaQ115397407MaRDI QIDQ6066502
Leo G. Rebholz, Camille Zerfas
Publication date: 12 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.03512
Related Items (3)
Continuous data assimilation algorithm for the two dimensional Cahn-Hilliard-Navier-Stokes system ⋮ Dynamically learning the parameters of a chaotic system using partial observations ⋮ Recovering critical parameter for nonlinear Allen–Cahn equation by fully discrete continuous data assimilation algorithms *
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field
- Feedback control of nonlinear dissipative systems by finite determining parameters -- a reaction-diffusion paradigm
- Higher-order synchronization for a data assimilation algorithm for the 2D Navier-Stokes equations
- A data assimilation algorithm for the subcritical surface quasi-geostrophic equation
- Quadratic divergence-free finite elements on Powell--Sabin tetrahedral grids
- Discrete data assimilation in the Lorenz and 2D Navier-Stokes equations
- Determining modes for continuous data assimilation in 2D turbulence
- Finite determining parameters feedback control for distributed nonlinear dissipative systems -- a computational study
- Downscaling the 2D Bénard convection equations using continuous data assimilation
- Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier-Stokes equations
- Continuous data assimilation reduced order models of fluid flow
- Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations
- Continuous data assimilation for the 2D Bénard convection through velocity measurements alone
- Continuous data assimilation using general interpolant observables
- Numerical criterion for the stabilization of steady states of the Navier-Stokes equations
- Continuous data assimilation for the three-dimensional Brinkman–Forchheimer-extended Darcy model
- Continuous data assimilation for the three-dimensional Navier–Stokes-α model
- Finite Element Methods for Incompressible Flow Problems
- Conforming and divergence-free Stokes elements on general triangular meshes
- Efficient and Long-Time Accurate Second-Order Methods for the Stokes--Darcy System
- A unified approach to determining forms for the 2D Navier-Stokes equations -- the general interpolants case
- Stability and approximability of the 1–0 element for Stokes equations
- Finite Element Methods for Navier-Stokes Equations
- Approximation of time‐dependent, viscoelastic fluid flow: Crank‐Nicolson, finite element approximation
- Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder
- Data-Driven Filtered Reduced Order Modeling of Fluid Flows
- Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm
- A new family of stable mixed finite elements for the 3D Stokes equations
- Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier--Stokes Equations
- A Data Assimilation Algorithm: the Paradigm of the 3D Leray-α Model of Turbulence
- Continuous data assimilation with stochastically noisy data
- Data Assimilation
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- The Mathematical Theory of Finite Element Methods
- A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics
- Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements
This page was built for publication: Simple and efficient continuous data assimilation of evolution equations via algebraic nudging