Leo Rebholz
Leo Rebholz
Professor of Mathematical Sciences, Clemson University
Verified email at clemson.edu - Homepage
Title
Cited by
Cited by
Year
On the divergence constraint in mixed finite element methods for incompressible flows
V John, A Linke, C Merdon, M Neilan, LG Rebholz
SIAM review 59 (3), 492-544, 2017
2062017
Approximate deconvolution models of turbulence: analysis, phenomenology and numerical analysis
WJ Layton, LG Rebholz
Springer Science & Business Media, 2012
1282012
A connection between Scott–Vogelius and grad-div stabilized Taylor–Hood FE approximations of the Navier–Stokes equations
MA Case, VJ Ervin, A Linke, LG Rebholz
SIAM Journal on Numerical Analysis 49 (4), 1461-1481, 2011
118*2011
Numerical analysis and computational testing of a high accuracy Leray‐deconvolution model of turbulence
W Layton, CC Manica, M Neda, LG Rebholz
Numerical Methods for Partial Differential Equations: An International…, 2008
992008
On the accuracy of the rotation form in simulations of the Navier–Stokes equations
W Layton, CC Manica, M Neda, M Olshanskii, LG Rebholz
Journal of Computational Physics 228 (9), 3433-3447, 2009
982009
On the parameter choice in grad-div stabilization for the Stokes equations
EW Jenkins, V John, A Linke, LG Rebholz
Advances in Computational Mathematics 40 (2), 491-516, 2014
87*2014
Data-driven filtered reduced order modeling of fluid flows
X Xie, M Mohebujjaman, LG Rebholz, T Iliescu
SIAM Journal on Scientific Computing 40 (3), B834-B857, 2018
852018
Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection
KJ Galvin, A Linke, LG Rebholz, NE Wilson
Computer Methods in Applied Mechanics and Engineering 237, 166-176, 2012
832012
On conservation laws of Navier–Stokes Galerkin discretizations
S Charnyi, T Heister, MA Olshanskii, LG Rebholz
Journal of Computational Physics 337, 289-308, 2017
732017
Numerical analysis and computational comparisons of the NS-alpha and NS-omega regularizations
W Layton, CC Manica, M Neda, LG Rebholz
Computer Methods in Applied Mechanics and Engineering 199 (13-16), 916-931, 2010
682010
The stabilized extrapolated trapezoidal finite-element method for the Navier–Stokes equations
A Labovsky, WJ Layton, CC Manica, M Neda, LG Rebholz
Computer Methods in Applied Mechanics and Engineering 198 (9-12), 958-974, 2009
672009
Conservation laws of turbulence models
LG Rebholz
Journal of Mathematical Analysis and Applications 326 (1), 33-45, 2007
562007
Velocity–vorticity–helicity formulation and a solver for the Navier–Stokes equations
MA Olshanskii, LG Rebholz
Journal of Computational Physics 229 (11), 4291-4303, 2010
512010
Enabling numerical accuracy of Navier-Stokes- through deconvolution and enhanced stability
CC Manica, M Neda, M Olshanskii, LG Rebholz
ESAIM: Mathematical Modelling and Numerical Analysis 45 (2), 277-307, 2011
472011
Physically constrained data‐driven correction for reduced‐order modeling of fluid flows
M Mohebujjaman, LG Rebholz, T Iliescu
International Journal for Numerical Methods in Fluids 89 (3), 103-122, 2019
422019
On the convergence rate of grad-div stabilized Taylor–Hood to Scott–Vogelius solutions for incompressible flow problems
A Linke, LG Rebholz, NE Wilson
Journal of Mathematical Analysis and Applications 381 (2), 612-626, 2011
412011
A family of new, high order NS- models arising from helicity correction in Leray turbulence models
LG Rebholz
Journal of Mathematical Analysis and Applications 342 (1), 246-254, 2008
412008
Energy balance and mass conservation in reduced order models of fluid flows
M Mohebujjaman, LG Rebholz, X Xie, T Iliescu
Journal of Computational Physics 346, 262-277, 2017
392017
Helicity and energy conservation and dissipation in approximate deconvolution LES models of turbulence
WJ Layton, CC Manica, M Neda, LG Rebholz
Advances and Applications in Fluid Mechanics 4 (1), 1-46, 2008
39*2008
Modular nonlinear filter stabilization of methods for higher Reynolds numbers flow
W Layton, LG Rebholz, C Trenchea
Journal of Mathematical Fluid Mechanics 14 (2), 325-354, 2012
382012
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