5 citations · 6 across the 4 of their papers we have counts for
4 papers · 1 filter
Anderson acceleration of a Picard solver for the Oldroyd-B model of viscoelastic fluids
Duygu Vargun, Igor O. Monteiro, Leo G. Rebholz
We study an iterative nonlinear solver for the Oldroyd-B system describing incompressible viscoelastic fluid flow. We establish a range of attributes of the fixed-point-based solve…
Improved convergence of the Arrow-Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson acceleration
Pelin G. Geredeli, Leo G. Rebholz, Duygu Vargun +1
We consider two modifications of the Arrow-Hurwicz (AH) iteration for solving the incompressible steady Navier-Stokes equations for the purpose of accelerating the algorithm: grad-…
Enabling fast convergence of the iterated penalty Picard iteration with penalty parameter for incompressible Navier-Stokes via Anderson acceleration
Leo G. Rebholz, Duygu Vargun, Mengying Xiao
This paper considers an enhancement of the classical iterated penalty Picard (IPP) method for the incompressible Navier-Stokes equations, where we restrict our attention to …
Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations
Matthew Gardner, Adam Larios, Leo G. Rebholz +2
We study a continuous data assimilation (CDA) algorithm for a velocity-vorticity formulation of the 2D Navier-Stokes equations in two cases: nudging applied to the velocity and vor…