Superlinear convergence of Anderson accelerated Newton's method for solving stationary <scp>Navier–Stokes</scp> equations
DOI10.1002/num.23001arXiv2202.06700OpenAlexW4318071379MaRDI QIDQ6066574
Publication date: 13 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.06700
Numerical computation of solutions to systems of equations (65H10) Navier-Stokes equations for incompressible viscous fluids (76D05) Fixed-point theorems (47H10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Acceleration of convergence in numerical analysis (65B99)
Cites Work
- Unnamed Item
- Benchmarking results for the Newton-Anderson method
- A stable finite element for the Stokes equations
- The 2D lid-driven cavity problem revisited
- Deflation techniques for the calculation of further solutions of a nonlinear system
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- A Family of $Q_{k+1,k}\timesQ_{k,k+1}$ Divergence-Free Finite Elements on Rectangular Grids
- Finite Element Methods for Navier-Stokes Equations
- 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
- A Proof That Anderson Acceleration Improves the Convergence Rate in Linearly Converging Fixed-Point Methods (But Not in Those Converging Quadratically)
- An Augmented Lagrangian‐Based Approach to the Oseen Problem
- Deflation Techniques for Finding Distinct Solutions of Nonlinear Partial Differential Equations
- Iterative Procedures for Nonlinear Integral Equations
This page was built for publication: Superlinear convergence of Anderson accelerated Newton's method for solving stationary <scp>Navier–Stokes</scp> equations
