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Author ID: rebholz.leo-g Recent zbMATH articles by "Rebholz, Leo G."
Published as: Rebholz, Leo G.; Rebholz, Leo; Rebholz, L. G.; Rebholz, L.
Documents Indexed: 112 Publications since 2006, including 3 Books
Co-Authors: 83 Co-Authors with 106 Joint Publications
1,625 Co-Co-Authors
all top 5

Co-Authors

6 single-authored
14 Olshanskii, Maxim A.
13 Neda, Monika
12 Linke, Alexander
11 Layton, William J.
11 Manica, Carolina Cardoso
11 Xiao, Mengying
8 Heister, Timo
8 Kaya, Songul
8 Mohebujjaman, Muhammad
8 Wilson, Nicholas E.
7 Akbas, Mine
6 Bowers, Abigail L.
6 Kim, Tae-Yeon
6 Zerfas, Camille
5 Iliescu, Traian
5 Trenchea, Catalin
4 Fried, Eliot
4 Galvin, Keith J.
4 Larios, Adam
4 Pollock, Sara
3 Belenli, Mine Akbas
3 Cousins, Benjamin R.
3 Dunca, Argus Adrian
3 Le Borne, Sabine
2 Case, Michael A.
2 Charnyi, Sergey
2 Eroglu, Fatma G.
2 Ervin, Vincent J.
2 Jenkins, Eleanor W.
2 John, Volker
2 Labovsky, Alexandr
2 Lee, Hyesuk Kwon
2 Morales Hernandez, Monica
2 Neilan, Michael
2 Sussman, Myron M.
2 Tone, Florentina
2 Vargun, Duygu
2 Viguerie, Alex
2 Wang, Zhen
2 Xie, Xuping
2 Zhao, Kun
1 Al Mahbub, Md. Abdullah
1 Benzi, Michele
1 Berselli, Luigi Carlo
1 Bertagna, Luca
1 Byon, Young-Ji
1 Cao, Yanzhao
1 Chen, Song
1 Connors, Jeffrey Mark
1 Cuff, Victoria M.
1 D’Agnillo, Erica M.
1 Diegel, Amanda E.
1 Evans, Claire
1 Forbes, Dominique
1 Gardner, Matthew
1 Gerritsma, Marc I.
1 Jiang, Nan
1 Koc, Birgul
1 Kohler, Kara E.
1 Kuberry, Paul Allen
1 Labovschii, A.
1 Merdon, Christian
1 Miles, William W.
1 Monteiro, Igor Olivia
1 Mou, Changhong
1 Pahlevani, Faranak
1 Palha, Artur
1 Pei, Yuan
1 Pruett, C. David
1 Quaini, Annalisa
1 Salgado, Abner J.
1 San, Omer
1 Schneier, Michael
1 Schroeder, Philipp W.
1 Stanculescu, Iuliana
1 Takhirov, Aziz
1 Tone, Cristina
1 Veneziani, Alessandro
1 Wang, Dehua
1 Wang, Zhian
1 Waters, Jiajia Wang
1 Watro, Stacey A.
1 Wise, Steven M.
all top 5

Serials

19 Computer Methods in Applied Mechanics and Engineering
8 Journal of Computational Physics
7 Numerical Methods for Partial Differential Equations
6 Journal of Mathematical Analysis and Applications
6 Applied Mathematics and Computation
6 SIAM Journal on Numerical Analysis
4 Journal of Numerical Mathematics
4 International Journal of Numerical Analysis and Modeling
3 Computers & Mathematics with Applications
3 Computational Methods in Applied Mathematics
2 Mathematical Methods in the Applied Sciences
2 Journal of Computational and Applied Mathematics
2 Applied Mathematical Modelling
2 International Journal of Computer Mathematics
2 SIAM Journal on Scientific Computing
2 Discrete and Continuous Dynamical Systems
2 Journal of Mathematical Fluid Mechanics
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 IMA Journal of Applied Mathematics
1 IMA Journal of Numerical Analysis
1 International Journal for Numerical Methods in Fluids
1 Mathematics of Computation
1 Calcolo
1 Journal of Differential Equations
1 Numerische Mathematik
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
1 Journal of Scientific Computing
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 SIAM Review
1 ETNA. Electronic Transactions on Numerical Analysis
1 Advances in Computational Mathematics
1 Computing and Visualization in Science
1 International Journal of Computational Fluid Dynamics
1 Discrete and Continuous Dynamical Systems. Series B
1 Lecture Notes in Mathematics
1 Advances and Applications in Fluid Mechanics
1 Advances in Numerical Analysis
1 Advances in Applied Mathematics and Mechanics
1 International Journal of Numerical Analysis and Modeling. Series B
1 Journal of Nonlinear Dynamics
1 De Gruyter Textbook
1 De Gruyter Graduate
1 Electronic Research Archive

Publications by Year

Citations contained in zbMATH Open

90 Publications have been cited 1,199 times in 514 Documents Cited by Year
On the divergence constraint in mixed finite element methods for incompressible flows. Zbl 1426.76275
John, Volker; Linke, Alexander; Merdon, Christian; Neilan, Michael; Rebholz, Leo G.
118
2017
On the accuracy of the rotation form in simulations of the Navier-Stokes equations. Zbl 1161.76030
Layton, William; Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.
59
2008
A connection between Scott-Vogelius and grad-div stabilized Taylor-Hood FE approximations of the Navier-Stokes equations. Zbl 1244.76021
Case, Michael A.; Ervin, Vincent J.; Linke, Alexander; Rebholz, Leo G.
58
2011
Numerical analysis and computational testing of a high accuracy Leray-deconvolution model of turbulence. Zbl 1191.76061
Layton, William; Manica, Carolina C.; Neda, Monika; Rebholz, Leo G.
54
2008
Approximate deconvolution models of turbulence. Analysis, phenomenology and numerical analysis. Zbl 1241.76002
Layton, William J.; Rebholz, Leo
51
2012
On the parameter choice in grad-div stabilization for the Stokes equations. Zbl 1426.76272
Jenkins, Eleanor W.; John, Volker; Linke, Alexander; Rebholz, Leo G.
49
2014
The stabilized extrapolated trapezoidal finite element method for the Navier-Stokes equations. Zbl 1229.76051
Labovsky, Alexandr; Layton, William J.; Manica, Carolina C.; Neda, Monika; Rebholz, Leo G.
39
2009
Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection. Zbl 1253.76057
Galvin, Keith J.; Linke, Alexander; Rebholz, Leo G.; Wilson, Nicholas E.
38
2012
Data-driven filtered reduced order modeling of fluid flows. Zbl 1412.65158
Xie, X.; Mohebujjaman, M.; Rebholz, L. G.; Iliescu, T.
29
2018
Numerical analysis and computational comparisons of the NS-alpha and NS-omega regularizations. Zbl 1406.76031
Layton, William; Manica, Carolina C.; Neda, Monika; Rebholz, Leo G.
29
2010
On conservation laws of Navier-Stokes Galerkin discretizations. Zbl 1415.65222
Charnyi, Sergey; Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.
26
2017
Conservation laws of turbulence models. Zbl 1110.76028
Rebholz, Leo G.
26
2007
On the convergence rate of grad-div stabilized Taylor-Hood to Scott-Vogelius solutions for incompressible flow problems. Zbl 1331.76038
Linke, Alexander; Rebholz, Leo G.; Wilson, Nicholas E.
25
2011
Enabling numerical accuracy of Navier-Stokes-\(\alpha\) through deconvolution and enhanced stability. Zbl 1267.76021
Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.
23
2011
Energy balance and mass conservation in reduced-order models of fluid flows. Zbl 1378.76050
Mohebujjaman, Muhammad; Rebholz, Leo G.; Xie, Xuping; Iliescu, Traian
20
2017
Velocity-vorticity-helicity formulation and a solver for the Navier-Stokes equations. Zbl 1334.76083
Olshanskii, Maxim A.; Rebholz, Leo G.
20
2010
Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations. Zbl 1387.76052
Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.
18
2017
Numerical approximation of the Voigt regularization for incompressible Navier-Stokes and magnetohydrodynamic flows. Zbl 1268.76014
Kuberry, Paul; Larios, Adam; Rebholz, Leo G.; Wilson, Nicholas E.
17
2012
A family of new, high order NS-\(\alpha \) models arising from helicity correction in Leray turbulence models. Zbl 1138.35078
Rebholz, Leo G.
17
2008
An energy- and helicity-conserving finite element scheme for the Navier-Stokes equations. Zbl 1141.76039
Rebholz, Leo G.
16
2007
Modular nonlinear filter stabilization of methods for higher Reynolds numbers flow. Zbl 1294.76197
Layton, William; Rebholz, Leo G.; Trenchea, Catalin
16
2012
On error analysis for the 3D Navier-Stokes equations in velocity-vorticity-helicity form. Zbl 1222.35143
Lee, Hyesuk K.; Olshanskii, Maxim A.; Rebholz, Leo G.
14
2011
An efficient algorithm for computation of MHD flow ensembles. Zbl 1419.76443
Mohebujjaman, Muhammad; Rebholz, Leo G.
14
2017
A proof that Anderson acceleration improves the convergence rate in linearly converging fixed-point methods (but not in those converging quadratically). Zbl 1433.65102
Evans, Claire; Pollock, Sara; Rebholz, Leo G.; Xiao, Mengying
14
2020
Error analysis and iterative solvers for Navier-Stokes projection methods with standard and sparse grad-div stabilization. Zbl 1296.76079
Bowers, Abigail L.; Le Borne, Sabine; Rebholz, Leo G.
13
2014
Increasing accuracy and efficiency in FE computations of the Leray-deconvolution model. Zbl 1414.76035
Bowers, Abigail L.; Rebholz, Leo G.
13
2012
Decoupled, unconditionally stable, higher order discretizations for MHD flow simulation. Zbl 06849348
Heister, Timo; Mohebujjaman, Muhammad; Rebholz, Leo G.
12
2017
Numerical study of a regularization model for incompressible flow with deconvolution-based adaptive nonlinear filtering. Zbl 1286.76079
Bowers, Abigail L.; Rebholz, Leo G.
12
2013
Numerical analysis and testing of a fully discrete, decoupled penalty-projection algorithm for MHD in Elsässer variable. Zbl 1345.76114
Akbas, Mine; Kaya, Songul; Mohebujjaman, Muhammad; Rebholz, Leo G.
12
2016
Analysis of a reduced-order approximate deconvolution model and its interpretation as a Navier-Stokes-Voigt regularization. Zbl 1346.35157
Berselli, Luigi C.; Kim, Tae-Yeon; Rebholz, Leo G.
12
2016
On a reduced sparsity stabilization of Grad-div type for incompressible flow problems. Zbl 1286.76032
Linke, Alexander; Rebholz, Leo G.
11
2013
Efficient, unconditionally stable, and optimally accurate FE algorithms for approximate deconvolution models. Zbl 1385.76010
Galvin, Keith J.; Rebholz, Leo G.; Trenchea, Catalin
11
2014
On the high accuracy NS-alpha-deconvolution turbulence model. Zbl 1187.76720
Rebholz, Leo G.; Sussman, Myron M.
10
2010
On an efficient finite element method for Navier-Stokes-\(\overline{\omega}\) with strong mass conservation. Zbl 1283.76018
Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.; Wilson, Nicholas E.
10
2011
An enhanced-physics-based scheme for the NS-\(\alpha \) turbulence model. Zbl 1426.76191
Miles, William W.; Rebholz, Leo G.
10
2010
On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems. Zbl 1439.76043
Akbas, M.; Kaya, S.; Rebholz, L. G.
10
2017
Improved accuracy in algebraic splitting methods for Navier-Stokes equations. Zbl 1420.35198
Rebholz, Leo G.; Xiao, Mengying
10
2017
Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier-Stokes equations. Zbl 1440.76075
Larios, Adam; Rebholz, Leo G.; Zerfas, Camille
10
2019
A subgrid stabilization finite element method for incompressible magnetohydrodynamics. Zbl 1452.76265
Belenli, Mine A.; Kaya, Songül; Rebholz, Leo G.; Wilson, Nicholas E.
9
2013
A numerical study of the Navier-Stokes-\(\alpha \beta \) model. Zbl 1230.76027
Kim, Tae-Yeon; Neda, Monika; Rebholz, Leo G.; Fried, Eliot
9
2011
Helicity and energy conservation and dissipation in approximate deconvolution LES models of turbulence. Zbl 1176.76046
Layton, William J.; Manica, Carolina C.; Neda, Monika; Rebholz, Leo G.
9
2008
A deconvolution enhancement of the Navier-Stokes-\({\alpha}{\beta}\) model. Zbl 1404.76140
Kim, Tae-Yeon; Rebholz, Leo G.; Fried, Eliot
9
2012
Energy and helicity dissipation rates of the NS-alpha and NS-alpha-deconvolution models. Zbl 1423.76160
Layton, William; Rebholz, Leo; Sussman, Myron
9
2010
Initial boundary value problems for a system of parabolic conservation laws arising from chemotaxis in multi-dimensions. Zbl 07069017
Rebholz, Leo G.; Wang, Dehua; Wang, Zhian; Zerfas, Camille; Zhao, Kun
8
2019
Efficient linear solvers for incompressible flow simulations using Scott-Vogelius finite elements. Zbl 1312.76025
Cousins, Benjamin R.; Le Borne, Sabine; Linke, Alexander; Rebholz, Leo G.; Wang, Zhen
8
2013
A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. Zbl 1453.65331
Linke, Alexander; Neilan, Michael; Rebholz, Leo G.; Wilson, Nicholas E.
8
2017
A note on the importance of mass conservation in long-time stability of Navier-Stokes simulations using finite elements. Zbl 1311.76044
Belenli, Mine Akbas; Rebholz, Leo G.; Tone, Florentina
8
2015
Application of barycenter refined meshes in linear elasticity and incompressible fluid dynamics. Zbl 1426.74302
Olshanskii, Maxim A.; Rebholz, Leo G.
8
2011
Continuous data assimilation reduced order models of fluid flow. Zbl 1442.65006
Zerfas, Camille; Rebholz, Leo G.; Schneier, Michael; Iliescu, Traian
8
2019
Natural vorticity boundary conditions on solid walls. Zbl 1423.76100
Olshanskii, Maxim A.; Heister, Timo; Rebholz, Leo G.; Galvin, Keith J.
7
2015
Anderson-accelerated convergence of Picard iterations for incompressible Navier-Stokes equations. Zbl 1412.65198
Pollock, Sara; Rebholz, Leo G.; Xiao, Mengying
7
2019
The reduced order NS-\(\alpha\) model for incompressible flow: theory, numerical analysis and benchmark testing. Zbl 1321.76032
Cuff, Victoria M.; Dunca, Argus A.; Manica, Carolina C.; Rebholz, Leo G.
7
2015
An optimally accurate discrete regularization for second order timestepping methods for Navier-Stokes equations. Zbl 1439.76076
Jiang, Nan; Mohebujjaman, Muhammad; Rebholz, Leo G.; Trenchea, Catalin
7
2016
Improved accuracy in regularization models of incompressible flow via adaptive nonlinear filtering. Zbl 1412.76044
Bowers, A. L.; Rebholz, L. G.; Takhirov, A.; Trenchea, C.
6
2012
Enforcing energy, helicity and strong mass conservation in finite element computations for incompressible Navier-Stokes simulations. Zbl 1432.76077
Cousins, Benjamin R.; Rebholz, Leo G.; Wilson, Nicholas E.
6
2011
Note on helicity balance of the Galerkin method for the 3D Navier-Stokes equations. Zbl 1227.76037
Olshanskii, Maxim; Rebholz, Leo G.
6
2010
On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions. Zbl 1338.76086
Kaya, Songul; Manica, Carolina C.; Rebholz, Leo G.
6
2014
An explicitly decoupled variational multiscale method for incompressible, non-isothermal flows. Zbl 1309.76122
Belenli, Mine A.; Kaya, Songül; Rebholz, Leo G.
5
2015
On well-posedness of a velocity-vorticity formulation of the stationary Navier-Stokes equations with no-slip boundary conditions. Zbl 1397.35178
Olshanskii, Maxim A.; Rebholz, Leo G.; Salgado, Abner J.
5
2018
On reducing the splitting error in Yosida methods for the Navier-Stokes equations with Grad-div stabilization. Zbl 1423.76270
Rebholz, Leo G.; Xiao, Mengying
5
2015
The Leray-\(\alpha\beta\)-deconvolution model: energy analysis and numerical algorithms. Zbl 1351.76049
Bowers, Abigail L.; Kim, Tae-Yeon; Neda, Monika; Rebholz, Leo G.; Fried, Eliot
5
2013
Assessment of a vorticity based solver for the Navier-Stokes equations. Zbl 1352.76040
Benzi, Michele; Olshanskii, Maxim A.; Rebholz, Leo G.; Wang, Zhen
5
2012
Preconditioning sparse grad-div/augmented Lagrangian stabilized saddle point systems. Zbl 1376.65034
Le Borne, Sabine; Rebholz, Leo G.
5
2013
Efficient discretizations for the EMAC formulation of the incompressible Navier-Stokes equations. Zbl 1478.65082
Charnyi, Sergey; Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.
4
2019
Penalty projection schemes for the Cahn-Hilliard Navier-Stokes diffuse interface model of two phase flow, and their connection to divergence-free coupled schemes. Zbl 1395.35109
Rebholz, Leo G.; Wise, Steven M.; Xiao, Mengying
4
2018
Pressure-induced locking in mixed methods for time-dependent (Navier-)Stokes equations. Zbl 1452.76092
Linke, Alexander; Rebholz, Leo G.
4
2019
Temporally regularized direct numerical simulation. Zbl 1339.76037
Layton, William J.; Pruett, C. David; Rebholz, Leo G.
4
2010
Sensitivity analysis of the grad-div stabilization parameter in finite element simulations of incompressible flow. Zbl 1462.65154
Neda, Monika; Pahlevani, Faranak; Rebholz, Leo G.; Waters, Jiajia
4
2016
A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows. Zbl 1439.76065
Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G.
4
2017
The analogue of grad-div stabilization in DG methods for incompressible flows: limiting behavior and extension to tensor-product meshes. Zbl 1440.76047
Akbas, Mine; Linke, Alexander; Rebholz, Leo G.; Schroeder, Philipp W.
4
2018
Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation. Zbl 07337865
Olshanskii, Maxim A.; Rebholz, Leo G.
4
2020
Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations. Zbl 1468.65141
Gardner, Matthew; Larios, Adam; Rebholz, Leo G.; Vargun, Duygu; Zerfas, Camille
4
2021
Global well-posedness of the velocity-vorticity-Voigt model of the 3D Navier-Stokes equations. Zbl 1433.35235
Larios, Adam; Pei, Yuan; Rebholz, Leo
3
2019
Well-posedness of a reduced order approximate deconvolution turbulence model. Zbl 1306.35099
Rebholz, Leo G.
3
2013
Optimal vorticity accuracy in an efficient velocity-vorticity method for the 2D Navier-Stokes equations. Zbl 1450.65114
Akbas, M.; Rebholz, L. G.; Zerfas, C.
3
2018
New connections between finite element formulations of the Navier-Stokes equations. Zbl 1427.76120
Bowers, Abigail L.; Cousins, Benjamin R.; Linke, Alexander; Rebholz, Leo G.
3
2010
A mathematical and physical study of multiscale deconvolution models of turbulence. Zbl 1247.35089
Dunca, Argus Adrian; Kohler, Kara E.; Neda, Monika; Rebholz, Leo G.
3
2012
Stable computing with an enhanced physics based scheme for the 3D Navier-Stokes equations. Zbl 1429.76069
Case, Michael A.; Ervin, Vincent J.; Linke, Alexander; Rebholz, Leo G.; Wilson, Nicholas E.
3
2011
Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations. Zbl 1416.65421
Rebholz, Leo G.; Viguerie, Alex; Xiao, Mengying
3
2019
POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. Zbl 1458.65125
Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G.
3
2019
Global in time analysis and sensitivity analysis for the reduced NS-\(\alpha\) model of incompressible flow. Zbl 1402.35229
Rebholz, Leo; Zerfas, Camille; Zhao, Kun
3
2017
Data-driven variational multiscale reduced order models. Zbl 07337754
Mou, Changhong; Koc, Birgul; San, Omer; Rebholz, Leo G.; Iliescu, Traian
3
2021
Small-scale divergence penalization for incompressible flow problems via time relaxation. Zbl 1381.76159
Connors, Jeffrey M.; Jenkins, Eleanor W.; Rebholz, Leo G.
2
2011
On an accurate \(\alpha\) model for coarse mesh turbulent channel flow simulation. Zbl 1446.76039
Rebholz, Leo G.; Kim, Tae-Yeon; Byon, Young-Ji
2
2017
Flux-preserving enforcement of inhomogeneous Dirichlet boundary conditions for strongly divergence-free mixed finite element methods for flow problems. Zbl 1382.35223
Heister, Timo; Rebholz, Leo G.; Xiao, Mengying
2
2016
Stability of the Crank-Nicolson-Adams-Bashforth scheme for the 2D Leray-\(\alpha\) model. Zbl 1382.65277
Morales Hernandez, Monica; Rebholz, Leo G.; Tone, Cristina; Tone, Florentina
2
2016
On the sensitivity to the filtering radius in Leray models of incompressible flow. Zbl 1418.35300
Bertagna, Luca; Quaini, Annalisa; Rebholz, Leo G.; Veneziani, Alessandro
1
2019
A note on helicity conservation in Leray models of incompressible flow. Zbl 1304.35500
Morales Hernandez, Monica; Rebholz, Leo G.
1
2015
On the enforcement of discrete mass conservation in incompressible flow simulations with continuous velocity approximation. Zbl 1287.76165
D’Agnillo, Erica M.; Rebholz, Leo G.
1
2013
A multiscale V-P discretization for flow problems. Zbl 1091.76037
Rebholz, Leo G.
1
2006
Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations. Zbl 1468.65141
Gardner, Matthew; Larios, Adam; Rebholz, Leo G.; Vargun, Duygu; Zerfas, Camille
4
2021
Data-driven variational multiscale reduced order models. Zbl 07337754
Mou, Changhong; Koc, Birgul; San, Omer; Rebholz, Leo G.; Iliescu, Traian
3
2021
A proof that Anderson acceleration improves the convergence rate in linearly converging fixed-point methods (but not in those converging quadratically). Zbl 1433.65102
Evans, Claire; Pollock, Sara; Rebholz, Leo G.; Xiao, Mengying
14
2020
Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation. Zbl 07337865
Olshanskii, Maxim A.; Rebholz, Leo G.
4
2020
Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier-Stokes equations. Zbl 1440.76075
Larios, Adam; Rebholz, Leo G.; Zerfas, Camille
10
2019
Initial boundary value problems for a system of parabolic conservation laws arising from chemotaxis in multi-dimensions. Zbl 07069017
Rebholz, Leo G.; Wang, Dehua; Wang, Zhian; Zerfas, Camille; Zhao, Kun
8
2019
Continuous data assimilation reduced order models of fluid flow. Zbl 1442.65006
Zerfas, Camille; Rebholz, Leo G.; Schneier, Michael; Iliescu, Traian
8
2019
Anderson-accelerated convergence of Picard iterations for incompressible Navier-Stokes equations. Zbl 1412.65198
Pollock, Sara; Rebholz, Leo G.; Xiao, Mengying
7
2019
Efficient discretizations for the EMAC formulation of the incompressible Navier-Stokes equations. Zbl 1478.65082
Charnyi, Sergey; Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.
4
2019
Pressure-induced locking in mixed methods for time-dependent (Navier-)Stokes equations. Zbl 1452.76092
Linke, Alexander; Rebholz, Leo G.
4
2019
Global well-posedness of the velocity-vorticity-Voigt model of the 3D Navier-Stokes equations. Zbl 1433.35235
Larios, Adam; Pei, Yuan; Rebholz, Leo
3
2019
Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations. Zbl 1416.65421
Rebholz, Leo G.; Viguerie, Alex; Xiao, Mengying
3
2019
POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. Zbl 1458.65125
Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G.
3
2019
On the sensitivity to the filtering radius in Leray models of incompressible flow. Zbl 1418.35300
Bertagna, Luca; Quaini, Annalisa; Rebholz, Leo G.; Veneziani, Alessandro
1
2019
Data-driven filtered reduced order modeling of fluid flows. Zbl 1412.65158
Xie, X.; Mohebujjaman, M.; Rebholz, L. G.; Iliescu, T.
29
2018
On well-posedness of a velocity-vorticity formulation of the stationary Navier-Stokes equations with no-slip boundary conditions. Zbl 1397.35178
Olshanskii, Maxim A.; Rebholz, Leo G.; Salgado, Abner J.
5
2018
Penalty projection schemes for the Cahn-Hilliard Navier-Stokes diffuse interface model of two phase flow, and their connection to divergence-free coupled schemes. Zbl 1395.35109
Rebholz, Leo G.; Wise, Steven M.; Xiao, Mengying
4
2018
The analogue of grad-div stabilization in DG methods for incompressible flows: limiting behavior and extension to tensor-product meshes. Zbl 1440.76047
Akbas, Mine; Linke, Alexander; Rebholz, Leo G.; Schroeder, Philipp W.
4
2018
Optimal vorticity accuracy in an efficient velocity-vorticity method for the 2D Navier-Stokes equations. Zbl 1450.65114
Akbas, M.; Rebholz, L. G.; Zerfas, C.
3
2018
On the divergence constraint in mixed finite element methods for incompressible flows. Zbl 1426.76275
John, Volker; Linke, Alexander; Merdon, Christian; Neilan, Michael; Rebholz, Leo G.
118
2017
On conservation laws of Navier-Stokes Galerkin discretizations. Zbl 1415.65222
Charnyi, Sergey; Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.
26
2017
Energy balance and mass conservation in reduced-order models of fluid flows. Zbl 1378.76050
Mohebujjaman, Muhammad; Rebholz, Leo G.; Xie, Xuping; Iliescu, Traian
20
2017
Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations. Zbl 1387.76052
Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.
18
2017
An efficient algorithm for computation of MHD flow ensembles. Zbl 1419.76443
Mohebujjaman, Muhammad; Rebholz, Leo G.
14
2017
Decoupled, unconditionally stable, higher order discretizations for MHD flow simulation. Zbl 06849348
Heister, Timo; Mohebujjaman, Muhammad; Rebholz, Leo G.
12
2017
On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems. Zbl 1439.76043
Akbas, M.; Kaya, S.; Rebholz, L. G.
10
2017
Improved accuracy in algebraic splitting methods for Navier-Stokes equations. Zbl 1420.35198
Rebholz, Leo G.; Xiao, Mengying
10
2017
A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. Zbl 1453.65331
Linke, Alexander; Neilan, Michael; Rebholz, Leo G.; Wilson, Nicholas E.
8
2017
A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows. Zbl 1439.76065
Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G.
4
2017
Global in time analysis and sensitivity analysis for the reduced NS-\(\alpha\) model of incompressible flow. Zbl 1402.35229
Rebholz, Leo; Zerfas, Camille; Zhao, Kun
3
2017
On an accurate \(\alpha\) model for coarse mesh turbulent channel flow simulation. Zbl 1446.76039
Rebholz, Leo G.; Kim, Tae-Yeon; Byon, Young-Ji
2
2017
Numerical analysis and testing of a fully discrete, decoupled penalty-projection algorithm for MHD in Elsässer variable. Zbl 1345.76114
Akbas, Mine; Kaya, Songul; Mohebujjaman, Muhammad; Rebholz, Leo G.
12
2016
Analysis of a reduced-order approximate deconvolution model and its interpretation as a Navier-Stokes-Voigt regularization. Zbl 1346.35157
Berselli, Luigi C.; Kim, Tae-Yeon; Rebholz, Leo G.
12
2016
An optimally accurate discrete regularization for second order timestepping methods for Navier-Stokes equations. Zbl 1439.76076
Jiang, Nan; Mohebujjaman, Muhammad; Rebholz, Leo G.; Trenchea, Catalin
7
2016
Sensitivity analysis of the grad-div stabilization parameter in finite element simulations of incompressible flow. Zbl 1462.65154
Neda, Monika; Pahlevani, Faranak; Rebholz, Leo G.; Waters, Jiajia
4
2016
Flux-preserving enforcement of inhomogeneous Dirichlet boundary conditions for strongly divergence-free mixed finite element methods for flow problems. Zbl 1382.35223
Heister, Timo; Rebholz, Leo G.; Xiao, Mengying
2
2016
Stability of the Crank-Nicolson-Adams-Bashforth scheme for the 2D Leray-\(\alpha\) model. Zbl 1382.65277
Morales Hernandez, Monica; Rebholz, Leo G.; Tone, Cristina; Tone, Florentina
2
2016
A note on the importance of mass conservation in long-time stability of Navier-Stokes simulations using finite elements. Zbl 1311.76044
Belenli, Mine Akbas; Rebholz, Leo G.; Tone, Florentina
8
2015
Natural vorticity boundary conditions on solid walls. Zbl 1423.76100
Olshanskii, Maxim A.; Heister, Timo; Rebholz, Leo G.; Galvin, Keith J.
7
2015
The reduced order NS-\(\alpha\) model for incompressible flow: theory, numerical analysis and benchmark testing. Zbl 1321.76032
Cuff, Victoria M.; Dunca, Argus A.; Manica, Carolina C.; Rebholz, Leo G.
7
2015
An explicitly decoupled variational multiscale method for incompressible, non-isothermal flows. Zbl 1309.76122
Belenli, Mine A.; Kaya, Songül; Rebholz, Leo G.
5
2015
On reducing the splitting error in Yosida methods for the Navier-Stokes equations with Grad-div stabilization. Zbl 1423.76270
Rebholz, Leo G.; Xiao, Mengying
5
2015
A note on helicity conservation in Leray models of incompressible flow. Zbl 1304.35500
Morales Hernandez, Monica; Rebholz, Leo G.
1
2015
On the parameter choice in grad-div stabilization for the Stokes equations. Zbl 1426.76272
Jenkins, Eleanor W.; John, Volker; Linke, Alexander; Rebholz, Leo G.
49
2014
Error analysis and iterative solvers for Navier-Stokes projection methods with standard and sparse grad-div stabilization. Zbl 1296.76079
Bowers, Abigail L.; Le Borne, Sabine; Rebholz, Leo G.
13
2014
Efficient, unconditionally stable, and optimally accurate FE algorithms for approximate deconvolution models. Zbl 1385.76010
Galvin, Keith J.; Rebholz, Leo G.; Trenchea, Catalin
11
2014
On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions. Zbl 1338.76086
Kaya, Songul; Manica, Carolina C.; Rebholz, Leo G.
6
2014
Numerical study of a regularization model for incompressible flow with deconvolution-based adaptive nonlinear filtering. Zbl 1286.76079
Bowers, Abigail L.; Rebholz, Leo G.
12
2013
On a reduced sparsity stabilization of Grad-div type for incompressible flow problems. Zbl 1286.76032
Linke, Alexander; Rebholz, Leo G.
11
2013
A subgrid stabilization finite element method for incompressible magnetohydrodynamics. Zbl 1452.76265
Belenli, Mine A.; Kaya, Songül; Rebholz, Leo G.; Wilson, Nicholas E.
9
2013
Efficient linear solvers for incompressible flow simulations using Scott-Vogelius finite elements. Zbl 1312.76025
Cousins, Benjamin R.; Le Borne, Sabine; Linke, Alexander; Rebholz, Leo G.; Wang, Zhen
8
2013
The Leray-\(\alpha\beta\)-deconvolution model: energy analysis and numerical algorithms. Zbl 1351.76049
Bowers, Abigail L.; Kim, Tae-Yeon; Neda, Monika; Rebholz, Leo G.; Fried, Eliot
5
2013
Preconditioning sparse grad-div/augmented Lagrangian stabilized saddle point systems. Zbl 1376.65034
Le Borne, Sabine; Rebholz, Leo G.
5
2013
Well-posedness of a reduced order approximate deconvolution turbulence model. Zbl 1306.35099
Rebholz, Leo G.
3
2013
On the enforcement of discrete mass conservation in incompressible flow simulations with continuous velocity approximation. Zbl 1287.76165
D’Agnillo, Erica M.; Rebholz, Leo G.
1
2013
Approximate deconvolution models of turbulence. Analysis, phenomenology and numerical analysis. Zbl 1241.76002
Layton, William J.; Rebholz, Leo
51
2012
Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection. Zbl 1253.76057
Galvin, Keith J.; Linke, Alexander; Rebholz, Leo G.; Wilson, Nicholas E.
38
2012
Numerical approximation of the Voigt regularization for incompressible Navier-Stokes and magnetohydrodynamic flows. Zbl 1268.76014
Kuberry, Paul; Larios, Adam; Rebholz, Leo G.; Wilson, Nicholas E.
17
2012
Modular nonlinear filter stabilization of methods for higher Reynolds numbers flow. Zbl 1294.76197
Layton, William; Rebholz, Leo G.; Trenchea, Catalin
16
2012
Increasing accuracy and efficiency in FE computations of the Leray-deconvolution model. Zbl 1414.76035
Bowers, Abigail L.; Rebholz, Leo G.
13
2012
A deconvolution enhancement of the Navier-Stokes-\({\alpha}{\beta}\) model. Zbl 1404.76140
Kim, Tae-Yeon; Rebholz, Leo G.; Fried, Eliot
9
2012
Improved accuracy in regularization models of incompressible flow via adaptive nonlinear filtering. Zbl 1412.76044
Bowers, A. L.; Rebholz, L. G.; Takhirov, A.; Trenchea, C.
6
2012
Assessment of a vorticity based solver for the Navier-Stokes equations. Zbl 1352.76040
Benzi, Michele; Olshanskii, Maxim A.; Rebholz, Leo G.; Wang, Zhen
5
2012
A mathematical and physical study of multiscale deconvolution models of turbulence. Zbl 1247.35089
Dunca, Argus Adrian; Kohler, Kara E.; Neda, Monika; Rebholz, Leo G.
3
2012
A connection between Scott-Vogelius and grad-div stabilized Taylor-Hood FE approximations of the Navier-Stokes equations. Zbl 1244.76021
Case, Michael A.; Ervin, Vincent J.; Linke, Alexander; Rebholz, Leo G.
58
2011
On the convergence rate of grad-div stabilized Taylor-Hood to Scott-Vogelius solutions for incompressible flow problems. Zbl 1331.76038
Linke, Alexander; Rebholz, Leo G.; Wilson, Nicholas E.
25
2011
Enabling numerical accuracy of Navier-Stokes-\(\alpha\) through deconvolution and enhanced stability. Zbl 1267.76021
Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.
23
2011
On error analysis for the 3D Navier-Stokes equations in velocity-vorticity-helicity form. Zbl 1222.35143
Lee, Hyesuk K.; Olshanskii, Maxim A.; Rebholz, Leo G.
14
2011
On an efficient finite element method for Navier-Stokes-\(\overline{\omega}\) with strong mass conservation. Zbl 1283.76018
Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.; Wilson, Nicholas E.
10
2011
A numerical study of the Navier-Stokes-\(\alpha \beta \) model. Zbl 1230.76027
Kim, Tae-Yeon; Neda, Monika; Rebholz, Leo G.; Fried, Eliot
9
2011
Application of barycenter refined meshes in linear elasticity and incompressible fluid dynamics. Zbl 1426.74302
Olshanskii, Maxim A.; Rebholz, Leo G.
8
2011
Enforcing energy, helicity and strong mass conservation in finite element computations for incompressible Navier-Stokes simulations. Zbl 1432.76077
Cousins, Benjamin R.; Rebholz, Leo G.; Wilson, Nicholas E.
6
2011
Stable computing with an enhanced physics based scheme for the 3D Navier-Stokes equations. Zbl 1429.76069
Case, Michael A.; Ervin, Vincent J.; Linke, Alexander; Rebholz, Leo G.; Wilson, Nicholas E.
3
2011
Small-scale divergence penalization for incompressible flow problems via time relaxation. Zbl 1381.76159
Connors, Jeffrey M.; Jenkins, Eleanor W.; Rebholz, Leo G.
2
2011
Numerical analysis and computational comparisons of the NS-alpha and NS-omega regularizations. Zbl 1406.76031
Layton, William; Manica, Carolina C.; Neda, Monika; Rebholz, Leo G.
29
2010
Velocity-vorticity-helicity formulation and a solver for the Navier-Stokes equations. Zbl 1334.76083
Olshanskii, Maxim A.; Rebholz, Leo G.
20
2010
On the high accuracy NS-alpha-deconvolution turbulence model. Zbl 1187.76720
Rebholz, Leo G.; Sussman, Myron M.
10
2010
An enhanced-physics-based scheme for the NS-\(\alpha \) turbulence model. Zbl 1426.76191
Miles, William W.; Rebholz, Leo G.
10
2010
Energy and helicity dissipation rates of the NS-alpha and NS-alpha-deconvolution models. Zbl 1423.76160
Layton, William; Rebholz, Leo; Sussman, Myron
9
2010
Note on helicity balance of the Galerkin method for the 3D Navier-Stokes equations. Zbl 1227.76037
Olshanskii, Maxim; Rebholz, Leo G.
6
2010
Temporally regularized direct numerical simulation. Zbl 1339.76037
Layton, William J.; Pruett, C. David; Rebholz, Leo G.
4
2010
New connections between finite element formulations of the Navier-Stokes equations. Zbl 1427.76120
Bowers, Abigail L.; Cousins, Benjamin R.; Linke, Alexander; Rebholz, Leo G.
3
2010
The stabilized extrapolated trapezoidal finite element method for the Navier-Stokes equations. Zbl 1229.76051
Labovsky, Alexandr; Layton, William J.; Manica, Carolina C.; Neda, Monika; Rebholz, Leo G.
39
2009
On the accuracy of the rotation form in simulations of the Navier-Stokes equations. Zbl 1161.76030
Layton, William; Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.
59
2008
Numerical analysis and computational testing of a high accuracy Leray-deconvolution model of turbulence. Zbl 1191.76061
Layton, William; Manica, Carolina C.; Neda, Monika; Rebholz, Leo G.
54
2008
A family of new, high order NS-\(\alpha \) models arising from helicity correction in Leray turbulence models. Zbl 1138.35078
Rebholz, Leo G.
17
2008
Helicity and energy conservation and dissipation in approximate deconvolution LES models of turbulence. Zbl 1176.76046
Layton, William J.; Manica, Carolina C.; Neda, Monika; Rebholz, Leo G.
9
2008
Conservation laws of turbulence models. Zbl 1110.76028
Rebholz, Leo G.
26
2007
An energy- and helicity-conserving finite element scheme for the Navier-Stokes equations. Zbl 1141.76039
Rebholz, Leo G.
16
2007
A multiscale V-P discretization for flow problems. Zbl 1091.76037
Rebholz, Leo G.
1
2006
all top 5

Cited by 639 Authors

80 Rebholz, Leo G.
28 Linke, Alexander
23 Layton, William J.
19 Neda, Monika
15 Olshanskii, Maxim A.
14 He, Yinnian
13 Kaya, Songul
13 Merdon, Christian
12 Dunca, Argus Adrian
12 Jiang, Nan
12 Neilan, Michael
11 Iliescu, Traian
11 Kim, Tae-Yeon
11 San, Omer
10 Huang, Pengzhan
9 Hou, Yanren
9 John, Volker
9 Manica, Carolina Cardoso
9 Schneier, Michael
9 Wilson, Nicholas E.
9 Xiao, Mengying
8 DeCaria, Victor P.
8 Larios, Adam
8 Lube, Gert
8 Mohebujjaman, Muhammad
8 Zhang, Shangyou
7 Akbas, Mine
7 Lederer, Philip Lukas
7 Maulik, Romit
7 Novo, Julia
7 Rhebergen, Sander
7 Trenchea, Catalin
6 Ahmed, Naveed
6 Berselli, Luigi Carlo
6 Çibik, Aytekin Bayram
6 Guzmán, Johnny
6 Heister, Timo
6 Jiang, Yaolin
6 Lehrenfeld, Christoph
6 Rozza, Gianluigi
6 Schroeder, Philipp W.
6 Singler, John R.
6 Wang, Zhu
6 Yang, Yunbo
5 Aggul, Mustafa
5 Beirão da Veiga, Lourenço
5 Bowers, Abigail L.
5 Fried, Eliot
5 García-Archilla, Bosco
5 He, Xiaoming
5 Labovsky, Alexander E.
5 Pollock, Sara
5 Quaini, Annalisa
5 Schöberl, Joachim
5 Vacca, Giuseppe
5 Wells, Garth N.
5 Zerfas, Camille
4 Arndt, Daniel
4 Barrenechea, Gabriel R.
4 Connors, Jeffrey Mark
4 Dassi, Franco
4 Eroglu, Fatma G.
4 Ervin, Vincent J.
4 Fiordilino, Joseph Anthony
4 Jenkins, Eleanor W.
4 Mora, David
4 Mu, Lin
4 Rubino, Samuele
4 Scott, Larkin Ridgway
4 Shang, Yueqiang
4 Waters, Jiajia Wang
4 Wechsung, Florian
4 Ye, Xiu
4 Zhang, Guodong
4 Zhang, Shuo
3 Breckling, Sean
3 Cousins, Benjamin R.
3 Dallmann, Helene
3 de Frutos, Javier
3 Demir, Medine
3 Erkmen, Dilek
3 Farrell, Patrick Emmet
3 Feng, Minfu
3 Fu, Guosheng
3 Galvin, Keith J.
3 Gerritsma, Marc I.
3 Girfoglio, Michele
3 Gunzburger, Max D.
3 Jiang, Wen
3 Kean, Kiera
3 Koc, Birgul
3 Le Borne, Sabine
3 Lewandowski, Roger
3 Li, Lingxiao
3 Mou, Changhong
3 Oyarzúa, Ricardo
3 Pahlevani, Fran
3 Palha, Artur
3 Pei, Yuan
3 Rong, Yao
...and 539 more Authors
all top 5

Cited in 85 Serials

56 Computer Methods in Applied Mechanics and Engineering
38 Journal of Computational Physics
29 SIAM Journal on Numerical Analysis
29 Journal of Scientific Computing
26 Computers & Mathematics with Applications
23 Journal of Computational and Applied Mathematics
22 SIAM Journal on Scientific Computing
19 Journal of Mathematical Analysis and Applications
18 Applied Mathematics and Computation
16 Computers and Fluids
16 Numerical Methods for Partial Differential Equations
11 Applied Numerical Mathematics
11 Advances in Computational Mathematics
10 International Journal of Computer Mathematics
10 Computational Methods in Applied Mathematics
9 Mathematics of Computation
9 Calcolo
8 Discrete and Continuous Dynamical Systems. Series B
8 International Journal of Numerical Analysis and Modeling
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Journal of Fluid Mechanics
6 Journal of Numerical Mathematics
5 Journal of Differential Equations
5 Numerische Mathematik
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Advances in Applied Mathematics and Mechanics
4 Numerical Algorithms
4 Applied Mathematical Modelling
4 Communications in Computational Physics
3 Mathematical Methods in the Applied Sciences
3 Acta Applicandae Mathematicae
3 Applied Mathematics Letters
3 International Journal of Computational Fluid Dynamics
3 Journal of Mathematical Fluid Mechanics
3 Advances in Numerical Analysis
3 SMAI Journal of Computational Mathematics
3 Results in Applied Mathematics
2 BIT
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Physica D
2 SIAM Review
2 Discrete and Continuous Dynamical Systems
2 Communications in Nonlinear Science and Numerical Simulation
2 Archives of Computational Methods in Engineering
2 SIAM Journal on Applied Dynamical Systems
2 SIAM/ASA Journal on Uncertainty Quantification
2 Electronic Research Archive
1 Applicable Analysis
1 International Journal for Numerical Methods in Fluids
1 Inverse Problems
1 Journal of Engineering Mathematics
1 Applied Mathematics and Optimization
1 Journal of the Korean Mathematical Society
1 Meccanica
1 Pacific Journal of Mathematics
1 Bulletin of the Iranian Mathematical Society
1 Computational Mechanics
1 MCSS. Mathematics of Control, Signals, and Systems
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 Journal of Nonlinear Science
1 Computational and Applied Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
1 Mathematical Problems in Engineering
1 Computing and Visualization in Science
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Vietnam Journal of Mathematics
1 Optimization and Engineering
1 Nonlinear Analysis. Real World Applications
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Communications on Pure and Applied Analysis
1 Journal of Applied Mathematics and Computing
1 Mediterranean Journal of Mathematics
1 Advances in Difference Equations
1 Boundary Value Problems
1 Science China. Mathematics
1 Symmetry
1 Communications in Applied and Industrial Mathematics
1 S\(\vec{\text{e}}\)MA Journal
1 Communications in Mathematics and Statistics
1 Evolution Equations and Control Theory
1 Research in the Mathematical Sciences
1 Journal of Nonlinear Dynamics
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 AIMS Mathematics

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