Data assimilation finite element method for the linearized Navier–Stokes equations in the low Reynolds regime
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Publication:5117391
DOI10.1088/1361-6420/ab9161zbMath1445.35323OpenAlexW3022849764MaRDI QIDQ5117391
Erik Burman, Colette Voisembert, Muriel Boulakia, Miguel Ángel Fernández
Publication date: 25 August 2020
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6420/ab9161
Inverse problems for PDEs (35R30) Navier-Stokes equations (35Q30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (4)
3D modeling of generalized Newtonian fluid flow with data assimilation using the least-squares finite element method ⋮ Stability estimate for scalar image velocimetry ⋮ Recovering critical parameter for nonlinear Allen–Cahn equation by fully discrete continuous data assimilation algorithms * ⋮ Unique continuation for the Lamé system using stabilized finite element methods
Uses Software
Cites Work
- Unnamed Item
- Stability estimates for Navier-Stokes equations and application to inverse problems
- Error estimates for stabilized finite element methods applied to ill-posed problems
- A quasi-reversibility approach to solve the inverse obstacle problem
- Mathematical aspects of discontinuous Galerkin methods.
- Optimal three-ball inequalities and quantitative uniqueness for the Stokes system
- Data assimilation for the heat equation using stabilized finite element methods
- Theory and practice of finite elements.
- Least-quares for second-order elliptic problems
- Unique continuation for the Helmholtz equation using stabilized finite element methods
- A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: Diffusion-dominated regime
- The ``exterior approach to solve the inverse obstacle problem for the Stokes system
- Carleman estimate for the Navier–Stokes equations and an application to a lateral Cauchy problem
- Uncertainty quantification for data assimilation in a steady incompressible Navier-Stokes problem
- An evolution of the back and forth nudging for geophysical data assimilation: application to Burgers equation and comparisons
- Lecture Notes on Regularity Theory for the Navier-Stokes Equations
- Stabilised Finite Element Methods for Ill-Posed Problems with Conditional Stability
- Stable determination of an immersed body in a stationary Stokes fluid
- Remark on boundary data for inverse boundary value problems for the Navier–Stokes equations
- The stability for the Cauchy problem for elliptic equations
- Théorème d'unicité adapté au contrôle des solutions des problèmes hyperboliques
- Effective downstream boundary conditions for incompressible Navier–Stokes equations
- A least-squares approach based on a discrete minus one inner product for first order systems
- A mixed formulation of the Tikhonov regularization and its application to inverse PDE problems
- Stabilized nonconforming finite element methods for data assimilation in incompressible flows
- Fully discrete finite element data assimilation method for the heat equation
- Solving ill-posed control problems by stabilized finite element methods: an alternative to Tikhonov regularization
- Minimax state estimates for abstract Neumann problems
- Prolongement Unique Des Solutions
- New development in freefem++
- Global uniqueness in inverse boundary value problems for the Navier–Stokes equations and Lamé system in two dimensions
- Stabilized Finite Element Methods for Nonsymmetric, Noncoercive, and Ill-Posed Problems. Part I: Elliptic Equations
- Stability estimates for the unique continuation property of the Stokes system and for an inverse boundary coefficient problem
- A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation
- A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics
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