2 papers
math.AP2023
Accelerating and enabling convergence of nonlinear solvers for Navier-Stokes equations by continuous data assimilation
Xuejian Li, Elizabeth V. Hawkins, Leo G. Rebholz +1
This paper considers improving the Picard and Newton iterative solvers for the Navier-Stokes equations in the setting where data measurements or solution observations are available…
math.AP2023
Uniqueness of Steady Navier-Stokes under Large Data by Continuous Data Assimilation
Xuejian Li
We propose a continuous data assimilation (CDA) method to address the uniqueness problem for steady Navier-Stokes equations(NSE). The CDA method incorporates spatial observations i…