9 citations · 16 across the 9 of their papers we have counts for
8 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-…
An efficient algorithm for simulating ensembles of parameterized MHD flow problems
Muhammad Mohebujjaman, Hongwei Wang, Leo G. Rebholz +1
In this paper, we propose, analyze, and test an efficient algorithm for computing ensemble average of incompressible magnetohydrodynamics (MHD) flows, where instances/members corre…
Continuous data assimilation and long-time accuracy in a interior penalty method for the Cahn-Hilliard equation
Amanda E. Diegel, Leo G. Rebholz
We propose a numerical approximation method for the Cahn-Hilliard equations that incorporates continuous data assimilation in order to achieve long time accuracy. The method uses a…
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…