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Leo Rebholz
Leo Rebholz
Dean's Distinguished 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
3992017
Approximate deconvolution models of turbulence: analysis, phenomenology and numerical analysis
WJ Layton, LG Rebholz
Springer Science & Business Media, 2012
1672012
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
161*2011
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
1472018
On conservation laws of Navier–Stokes Galerkin discretizations
S Charnyi, T Heister, MA Olshanskii, LG Rebholz
Journal of Computational Physics 337, 289-308, 2017
1442017
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, 491-516, 2014
1352014
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
1272009
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
1182008
A proof that Anderson acceleration improves the convergence rate in linearly converging fixed-point methods (but not in those converging quadratically)
C Evans, S Pollock, LG Rebholz, M Xiao
SIAM Journal on Numerical Analysis 58 (1), 788-810, 2020
1112020
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
1042012
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
932009
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
842019
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
782010
Anderson acceleration for contractive and noncontractive operators
S Pollock, LG Rebholz
IMA Journal of Numerical Analysis 41 (4), 2841-2872, 2021
612021
Conservation laws of turbulence models
LG Rebholz
Journal of Mathematical Analysis and Applications 326 (1), 33-45, 2007
602007
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
592010
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
582017
Data-driven variational multiscale reduced order models
C Mou, B Koc, O San, LG Rebholz, T Iliescu
Computer Methods in Applied Mechanics and Engineering 373, 113470, 2021
552021
Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier–Stokes equations
A Larios, LG Rebholz, C Zerfas
Computer Methods in Applied Mechanics and Engineering 345, 1077-1093, 2019
552019
Anderson-accelerated convergence of Picard iterations for incompressible Navier--Stokes equations
S Pollock, LG Rebholz, M Xiao
SIAM Journal on Numerical Analysis 57 (2), 615-637, 2019
542019
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