3 papers
math.NA2025
On the choice of optimization norm for Anderson acceleration of the Picard iteration for Navier-Stokes equations
Elizabeth Hawkins, Leo Rebholz
While the most recent Anderson acceleration (AA) convergence theory [Pollock et al, {\it IMA Num. An.}, 2021] requires that the AA optimization norm match the Hilbert space norm as…
math.NA2025
Accelerating convergence of a natural convection solver by continuous data assimilation
Elizabeth Hawkins
The Picard iteration for the Boussinesq model of natural convection can be an attractive solver because it stably decouples the fluid equations from the temperature equation (for c…
math.NA2024
Anderson-Picard based nonlinear preconditioning of the Newton iteration for non-isothermal flow simulations
Elizabeth Hawkins
We propose, analyze, and test a nonlinear preconditioning technique to improve the Newton iteration for non-isothermal flow simulations. We prove that by first applying an Anderson…