Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations M Gardner, A Larios, LG Rebholz, D Vargun, C Zerfas arXiv preprint arXiv:2006.07295, 2020 | 24 | 2020 |
Enabling convergence of the iterated penalty Picard iteration with O (1) penalty parameter for incompressible Navier–Stokes via Anderson acceleration LG Rebholz, D Vargun, M Xiao Computer Methods in Applied Mechanics and Engineering 387, 114178, 2021 | 9 | 2021 |
Improved convergence of the Arrow–Hurwicz iteration for the Navier–Stokes equation via grad–div stabilization and Anderson acceleration PG Geredeli, LG Rebholz, D Vargun, A Zytoon Journal of Computational and Applied Mathematics 422, 114920, 2023 | 4 | 2023 |
Accelerating and enabling convergence of nonlinear solvers for Navier–Stokes equations by continuous data assimilation X Li, EV Hawkins, LG Rebholz, D Vargun Computer Methods in Applied Mechanics and Engineering 416, 116313, 2023 | 3 | 2023 |
Anderson acceleration for a regularized Bingham model S Pollock, LG Rebholz, D Vargun Numerical Methods for Partial Differential Equations 39 (5), 3874-3896, 2023 | 2 | 2023 |
An efficient nonlinear solver and convergence analysis for a viscoplastic flow model S Pollock, LG Rebholz, D Vargun arXiv preprint arXiv:2108.08945, 2021 | 2 | 2021 |
Accelerating and Enabling Convergence of Nonlinear Solvers for Navier-Stokes Equations by Continuous Data Assimilation D Vargun | | 2023 |
Removing splitting/modeling error in projection/penalty methods for Navier-Stokes simulations with continuous data assimilation E Hawkins, LG Rebholz, D Vargun Communications in Mathematical Research 40 (1), 1-29, 2023 | | 2023 |
Acceleration Methods for Nonlinear Solvers and Application to Fluid Flow Simulations D Vargun Clemson University, 2023 | | 2023 |
Analysis of a projection-based variational multiscale method for a linearly extrapolated BDF2 time discretization of the navier-stokes equations D Vargün Middle East Technical University, 2018 | | 2018 |
Removing projection method splitting error with data assimilation E Hawkins, LG Rebholz, D Vargun 2022 Spring Central Sectional Meeting, 0 | | |