Leo G. Rebholz, Ph.D.
Affiliations: | 2006 | University of Pittsburgh, Pittsburgh, PA, United States |
Area:
MathematicsGoogle:
"Leo Rebholz"Parents
Sign in to add mentor| William J. Layton | grad student | 2006 | University of Pittsburgh | |
| (Helicity and physical fidelity in turbulence modeling.) | ||||
Children
Sign in to add trainee| Muhammad Mohebujjaman | grad student | Clemson University | |
| Abigail L. Bowers | grad student | 2014 | Clemson University |
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Publications
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| Evans C, Pollock SN, Rebholz LG, et al. (2020) A Proof That Anderson Acceleration Improves the Convergence Rate in Linearly Converging Fixed-Point Methods (But Not in Those Converging Quadratically) Siam Journal On Numerical Analysis. 58: 788-810 |
| Olshanskii MA, Rebholz LG. (2020) Longer time accuracy for incompressible Navier–Stokes simulations with the EMAC formulation Computer Methods in Applied Mechanics and Engineering. 372: 113369 |
| Rebholz LG, Viguerie A, Xiao M. (2020) Analysis of Algebraic Chorin Temam splitting for incompressible NSE and comparison to Yosida methods Journal of Computational and Applied Mathematics. 365: 112366 |
| Eroglu FG, Kaya S, Rebholz LG. (2019) POD-ROM for the Darcy-Brinkman equations with double-diffusive convection Journal of Numerical Mathematics. 27: 123-139 |
| Pollock SN, Rebholz LG, Xiao M. (2019) Anderson-Accelerated Convergence of Picard Iterations for Incompressible Navier--Stokes Equations Siam Journal On Numerical Analysis. 57: 615-637 |
| Rebholz LG, Viguerie A, Xiao M. (2019) Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations Ieee Communications Magazine. 88: 1533-1557 |
| Larios A, Pei Y, Rebholz L. (2019) Global well-posedness of the velocity–vorticity-Voigt model of the 3D Navier–Stokes equations Journal of Differential Equations. 266: 2435-2465 |
| Linke A, Rebholz LG. (2019) Pressure-induced locking in mixed methods for time-dependent (Navier–)Stokes equations Journal of Computational Physics. 388: 350-356 |
| Zerfas C, Rebholz LG, Schneier M, et al. (2019) Continuous data assimilation reduced order models of fluid flow Computer Methods in Applied Mechanics and Engineering. 357: 112596 |
| Larios A, Rebholz LG, Zerfas C. (2019) Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier–Stokes equations Computer Methods in Applied Mechanics and Engineering. 345: 1077-1093 |