Leo Rebholz
Leo Rebholz
Professor of Mathematical Sciences, Clemson University
Verified email at clemson.edu - Homepage
TitleCited byYear
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
1142017
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
110*2011
Approximate deconvolution models of turbulence: analysis, phenomenology and numerical analysis
WJ Layton, LG Rebholz
Springer Science & Business Media, 2012
1052012
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
842009
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
832008
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
732012
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
70*2014
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
622010
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
612009
Conservation laws of turbulence models
LG Rebholz
Journal of Mathematical Analysis and Applications 326 (1), 33-45, 2007
532007
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
462010
On conservation laws of Navier–Stokes Galerkin discretizations
S Charnyi, T Heister, MA Olshanskii, LG Rebholz
Journal of Computational Physics 337, 289-308, 2017
442017
Enabling numerical accuracy of Navier-Stokes-α through deconvolution and enhanced stability*
CC Manica, M Neda, M Olshanskii, LG Rebholz
ESAIM: Mathematical Modelling and Numerical Analysis 45 (2), 277-307, 2011
432011
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
412018
A family of new, high order NS-α models arising from helicity correction in Leray turbulence models
LG Rebholz
Journal of Mathematical Analysis and Applications 342 (1), 246-254, 2008
412008
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
35*2008
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
332011
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
312012
Increasing accuracy and efficiency in FE computations of the Leray‐Deconvolution model
AL Bowers, LG Rebholz
Numerical Methods for Partial Differential Equations 28 (2), 720-736, 2012
302012
On the high accuracy NS-alpha-deconvolution turbulence model
LG Rebholz, MM Sussman
Mathematical Models and Methods in Applied Sciences 20 (04), 611-633, 2010
292010
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