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.NA2023
Removing splitting/modeling error in projection/penalty methods for Navier-Stokes simulations with continuous data assimilation
Elizabeth Hawkins, Leo G. Rebholz, Duygu Vargun
We study continuous data assimilation (CDA) applied to projection and penalty methods for the Navier-Stokes (NS) equations. Penalty and projection methods are more efficient than c…