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20202026
most citedEnabling fast convergence of the iterated penalty Picard iteration with penalty parameter for incompressible Navier-Stokes via Anderson acceleration

5 citations · 6 across the 10 of their papers we have counts for

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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…