Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations. - Matthew Gardner 002; Adam Larios; Leo G. Rebholz; Duygu Vargun; Camille Zerfas (CoRR, 2020)

Enabling fast convergence of the iterated penalty Picard iteration with $O(1)$ penalty parameter for incompressible Navier-Stokes via Anderson acceleration. - Leo G. Rebholz; Duygu Vargun; Mengying Xiao (CoRR, 2021)

An efficient nonlinear solver and convergence analysis for a viscoplastic flow model. - Sara N. Pollock; Leo G. Rebholz; Duygu Vargun (CoRR, 2021)

Removing splitting/modeling error in projection/penalty methods for Navier-Stokes simulations with continuous data assimilation. - Elizabeth Hawkins; Leo G. Rebholz; Duygu Vargun (CoRR, 2023)

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; Ahmed Zytoon (J. Comput. Appl. Math., 2023)

Anderson acceleration of a Picard solver for the Oldroyd-B model of viscoelastic fluids. - Duygu Vargun; Igor O. Monteiro; Leo G. Rebholz (CoRR, 2025)