Accelerating and enabling convergence of nonlinear solvers for Navier-Stokes equations by continuous data assimilation
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Publication:6084447
DOI10.1016/j.cma.2023.116313arXiv2306.01172OpenAlexW4385773077MaRDI QIDQ6084447
Duygu Vargun, Elizabeth V. Hawkins, Leo G. Rebholz, Xuejian Li
Publication date: 6 November 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.01172
Cites Work
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- Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier-Stokes equations
- Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation
- Continuous data assimilation and long-time accuracy in a \(C^0\) interior penalty method for the Cahn-Hilliard equation
- Dynamically learning the parameters of a chaotic system using partial observations
- Continuous data assimilation for the 3D Ladyzhenskaya model: analysis and computations
- Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations
- Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation
- Continuous data assimilation for the 2D Bénard convection through velocity measurements alone
- On the Charney conjecture of data assimilation employing temperature measurements alone: the paradigm of 3D planetary geostrophic model
- On conservation laws of Navier-Stokes Galerkin discretizations
- Continuous data assimilation using general interpolant observables
- A second-order ensemble method based on a blended backward differentiation formula timestepping scheme for time-dependent Navier-Stokes equations
- Anderson Acceleration for Fixed-Point Iterations
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Finite Element Methods for Navier-Stokes Equations
- A Local Regularization Operator for Triangular and Quadrilateral Finite Elements
- A 3D incompressible Navier-Stokes velocity-vorticity weak form finite element algorithm
- Anderson-Accelerated Convergence of Picard Iterations for Incompressible Navier--Stokes Equations
- A new family of stable mixed finite elements for the 3D Stokes equations
- Anderson acceleration for contractive and noncontractive operators
- Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier--Stokes Equations
- Parameter Recovery for the 2 Dimensional Navier--Stokes Equations via Continuous Data Assimilation
- A Proof That Anderson Acceleration Improves the Convergence Rate in Linearly Converging Fixed-Point Methods (But Not in Those Converging Quadratically)
- Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates
- Filtering for Anderson Acceleration
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