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Leo G. Rebholz
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2020 – today
- 2025
- [j51]Amanda E. Diegel
, Xuejian Li, Leo G. Rebholz:
Analysis of continuous data assimilation with large (or even infinite) nudging parameters. J. Comput. Appl. Math. 456: 116221 (2025) - 2024
- [j50]Mine Akbas, Amanda E. Diegel
Continuous data assimilation of a discretized barotropic vorticity model of geophysical flow. Comput. Math. Appl. 160: 30-45 (2024) - [i20]Bosco García-Archilla, Xuejian Li, Julia Novo, Leo G. Rebholz:
Enhancing nonlinear solvers for the Navier-Stokes equations with continuous (noisy) data assimilation. CoRR abs/2401.06749 (2024) - [i19]Matt Dallas, Sara Pollock, Leo G. Rebholz:
Analysis of an Adaptive Safeguarded Newton-Anderson Algorithm with Applications to Fluid Problems. CoRR abs/2402.09295 (2024) - [i18]Sara Pollock, Leo G. Rebholz, Xuemin Tu, Mengying Xiao:
Analysis of the Picard-Newton iteration for the Navier-Stokes equations: global stability and quadratic convergence. CoRR abs/2402.12304 (2024) - [i17]Amanda E. Diegel, Xuejian Li, Leo G. Rebholz:
Analysis of continuous data assimilation with large (or even infinite) nudging parameters. CoRR abs/2408.00396 (2024) - 2023
- [j49]Leo G. Rebholz, Florentina Tone:
Long-time H1-stability of BDF2 time stepping for 2D Navier-Stokes equations. Appl. Math. Lett. 141: 108624 (2023) - [j48]Pelin G. Geredeli, Leo G. Rebholz, Duygu Vargun, Ahmed Zytoon:
Improved convergence of the Arrow-Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson acceleration. J. Comput. Appl. Math. 422: 114920 (2023) - [j47]Leo G. Rebholz, Mengying Xiao:
The Effect of Anderson Acceleration on Superlinear and Sublinear Convergence. J. Sci. Comput. 96(2): 34 (2023) - [j46]Sara N. Pollock
Filtering for Anderson Acceleration. SIAM J. Sci. Comput. 45(4) (2023) - [i16]Elizabeth Hawkins, Leo G. Rebholz, Duygu Vargun:
Removing splitting/modeling error in projection/penalty methods for Navier-Stokes simulations with continuous data assimilation. CoRR abs/2302.05962 (2023) - [i15]Maxim A. Olshanskii, Leo G. Rebholz:
Local conservation laws of continuous Galerkin method for the incompressible Navier-Stokes equations in EMAC form. CoRR abs/2309.05585 (2023) - 2022
- [j45]Amanda E. Diegel, Leo G. Rebholz:
Continuous data assimilation and long-time accuracy in a C0 interior penalty method for the Cahn-Hilliard equation. Appl. Math. Comput. 424: 127042 (2022) - [j44]Muhammad Mohebujjaman
An efficient algorithm for parameterized magnetohydrodynamic flow ensembles simulation. Comput. Math. Appl. 112: 167-180 (2022) - [j43]Yi Zhang
A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations, part I: Periodic domains. J. Comput. Phys. 451: 110868 (2022) - [i14]Pelin G. Geredeli, Leo G. Rebholz, Duygu Vargun, Ahmed Zytoon:
Improved convergence of the Arrow-Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson acceleration. CoRR abs/2203.01534 (2022) - [i13]Sean Ingimarson, Monika Neda, Leo G. Rebholz, Jorge Reyes, An Vu:
Improved long time accuracy for projection methods for Navier-Stokes equations using EMAC formulation. CoRR abs/2205.05160 (2022) - [i12]Sara N. Pollock, Leo G. Rebholz:
Filtering for Anderson acceleration. CoRR abs/2211.12953 (2022) - 2021
- [j42]Mine Akbas, Leo G. Rebholz:
Modular grad-div stabilization for the incompressible non-isothermal fluid flows. Appl. Math. Comput. 393: 125748 (2021) - [j41]Sara N. Pollock, Leo G. Rebholz, Mengying Xiao:
Acceleration of nonlinear solvers for natural convection problems. J. Num. Math. 29(4): 323-341 (2021) - [i11]Yi Zhang, Artur Palha, Marc Gerritsma, Leo G. Rebholz:
A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations, part I: Periodic domains. CoRR abs/2104.13023 (2021) - [i10]Leo G. Rebholz, Duygu Vargun, Mengying Xiao:
Enabling fast convergence of the iterated penalty Picard iteration with $O(1)$ penalty parameter for incompressible Navier-Stokes via Anderson acceleration. CoRR abs/2105.09339 (2021) - [i9]Amanda E. Diegel, Leo G. Rebholz:
Continuous data assimilation and long-time accuracy in a C0 interior penalty method for the Cahn-Hilliard equation. CoRR abs/2106.14744 (2021) - [i8]Muhammad Mohebujjaman, Hongwei Wang, Leo G. Rebholz, Md. Abdullah Al Mahbub:
An efficient algorithm for simulating ensembles of parameterized MHD flow problems. CoRR abs/2108.05110 (2021) - [i7]Sara N. Pollock, Leo G. Rebholz, Duygu Vargun:
An efficient nonlinear solver and convergence analysis for a viscoplastic flow model. CoRR abs/2108.08945 (2021) - [i6]Sean Ingimarson, Leo G. Rebholz, Traian Iliescu:
Full and Reduced Order Model Consistency of the Nonlinearity Discretization in Incompressible Flows. CoRR abs/2111.06749 (2021) - 2020
- [j40]Leo G. Rebholz
Analysis of Algebraic Chorin Temam splitting for incompressible NSE and comparison to Yosida methods. J. Comput. Appl. Math. 365 (2020) - [j39]Claire Evans, Sara N. Pollock
A Proof That Anderson Acceleration Improves the Convergence Rate in Linearly Converging Fixed-Point Methods (But Not in Those Converging Quadratically). SIAM J. Numer. Anal. 58(1): 788-810 (2020) - [i5]Mine Akbas, Leo G. Rebholz:
Modular grad-div stabilization for multiphysics flow problems. CoRR abs/2001.10100 (2020) - [i4]Maxim A. Olshanskii, Leo G. Rebholz:
Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation. CoRR abs/2002.01416 (2020) - [i3]Sara N. Pollock, Leo G. Rebholz, Mengying Xiao:
Acceleration of nonlinear solvers for natural convection problems. CoRR abs/2004.06471 (2020) - [i2]Matthew Gardner, Adam Larios, Leo G. Rebholz, Duygu Vargun, Camille Zerfas:
Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations. CoRR abs/2006.07295 (2020)
2010 – 2019
- 2019
- [j38]Alexander Linke, Leo G. Rebholz
Pressure-induced locking in mixed methods for time-dependent (Navier-)Stokes equations. J. Comput. Phys. 388: 350-356 (2019) - [j37]Fatma G. Eroglu
POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. J. Num. Math. 27(3): 123-139 (2019) - [j36]Leo G. Rebholz, Alex Viguerie
Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations. Math. Comput. 88(318): 1533-1557 (2019) - [j35]Sara N. Pollock
Anderson-Accelerated Convergence of Picard Iterations for Incompressible Navier-Stokes Equations. SIAM J. Numer. Anal. 57(2): 615-637 (2019) - [i1]Sara N. Pollock, Leo G. Rebholz:
Anderson acceleration for contractive and noncontractive operators. CoRR abs/1909.04638 (2019) - 2018
- [j34]Xuping Xie
Data-Driven Filtered Reduced Order Modeling of Fluid Flows. SIAM J. Sci. Comput. 40(3) (2018) - 2017
- [j33]Muhammad Mohebujjaman
An Efficient Algorithm for Computation of MHD Flow Ensembles. Comput. Methods Appl. Math. 17(1): 121-137 (2017) - [j32]Mine Akbas, Muhammad Mohebujjaman
High order algebraic splitting for magnetohydrodynamics simulation. J. Comput. Appl. Math. 321: 128-142 (2017) - [j31]Sergey Charnyi, Timo Heister
On conservation laws of Navier-Stokes Galerkin discretizations. J. Comput. Phys. 337: 289-308 (2017) - [j30]Muhammad Mohebujjaman
Energy balance and mass conservation in reduced order models of fluid flows. J. Comput. Phys. 346: 262-277 (2017) - [j29]Alexander Linke, Michael Neilan
A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. J. Num. Math. 25(4): 229-248 (2017) - [j28]Timo Heister
Decoupled, Unconditionally Stable, Higher Order Discretizations for MHD Flow Simulation. J. Sci. Comput. 71(1): 21-43 (2017) - [j27]Timo Heister
Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations. Numerische Mathematik 135(1): 143-167 (2017) - [j26]Volker John, Alexander Linke, Christian Merdon, Michael Neilan
On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows. SIAM Rev. 59(3): 492-544 (2017) - [j25]Leo G. Rebholz, Mengying Xiao:
Improved Accuracy in Algebraic Splitting Methods for Navier-Stokes Equations. SIAM J. Sci. Comput. 39(4) (2017) - 2016
- [j24]Yanzhao Cao
Well-posedness and a numerical study of a regularization model with adaptive nonlinear filtering for incompressible fluid flow. Comput. Math. Appl. 71(11): 2192-2205 (2016) - [j23]Monika Neda, Faranak Pahlevani, Leo G. Rebholz, Jiajia Waters:
Sensitivity analysis of the grad-div stabilization parameter in finite element simulations of incompressible flow. J. Num. Math. 24(3): 189-206 (2016) - 2015
- [j22]Mine Akbas Belenli, Leo G. Rebholz
A note on the importance of mass conservation in long-time stability of Navier-Stokes simulations using finite elements. Appl. Math. Lett. 45: 98-102 (2015) - [j21]Mine Akbas Belenli, Songül Kaya
An Explicitly Decoupled Variational Multiscale Method for Incompressible, Non-Isothermal Flows. Comput. Methods Appl. Math. 15(1): 1-20 (2015) - [c1]Mine Akbas, Songul Kaya
Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method. ENUMATH 2015: 115-122 - 2014
- [j20]Eleanor W. Jenkins, Volker John, Alexander Linke, Leo G. Rebholz:
On the parameter choice in grad-div stabilization for the Stokes equations. Adv. Comput. Math. 40(2): 491-516 (2014) - [j19]Songül Kaya
On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions. Appl. Math. Comput. 246: 23-38 (2014) - [j18]Keith J. Galvin, Leo G. Rebholz, Catalin Trenchea:
Efficient, Unconditionally Stable, and Optimally Accurate FE Algorithms for Approximate Deconvolution Models. SIAM J. Numer. Anal. 52(2): 678-707 (2014) - 2013
- [j17]Argus A. Dunca, Monika Neda, Leo G. Rebholz:
A mathematical and numerical study of a filtering-based multiscale fluid model with nonlinear eddy viscosity. Comput. Math. Appl. 66(6): 917-933 (2013) - [j16]Sabine Le Borne, Leo G. Rebholz:
Preconditioning sparse grad-div/augmented Lagrangian stabilized saddle point systems. Comput. Vis. Sci. 16(6): 259-269 (2013) - [j15]Mine Akbas Belenli, Songül Kaya
A subgrid stabilization finite element method for incompressible magnetohydrodynamics. Int. J. Comput. Math. 90(7): 1506-1523 (2013) - 2012
- [j14]Paul Kuberry
Numerical approximation of the Voigt regularization for incompressible Navier-Stokes and magnetohydrodynamic flows. Comput. Math. Appl. 64(8): 2647-2662 (2012) - [j13]Tae-Yeon Kim
A deconvolution enhancement of the Navier-Stokes-αβ model. J. Comput. Phys. 231(11): 4015-4027 (2012) - 2011
- [j12]Benjamin R. Cousins, Leo G. Rebholz, Nicholas E. Wilson:
Enforcing energy, helicity and strong mass conservation in finite element computations for incompressible Navier-Stokes simulations. Appl. Math. Comput. 218(4): 1208-1221 (2011) - [j11]Carolina C. Manica, Monika Neda, Maxim A. Olshanskii, Leo G. Rebholz, Nicholas E. Wilson:
On an Efficient Finite Element Method for Navier-Stokes-ω with Strong Mass Conservation. Comput. Methods Appl. Math. 11(1): 3-22 (2011) - [j10]Jeffrey M. Connors, Eleanor W. Jenkins, Leo G. Rebholz:
Small-scale divergence penalization for incompressible flow problems via time relaxation. Int. J. Comput. Math. 88(15): 3202-3216 (2011) - [j9]Hyesuk K. Lee, Maxim A. Olshanskii
On Error Analysis for the 3D Navier-Stokes Equations in Velocity-Vorticity-Helicity Form. SIAM J. Numer. Anal. 49(2): 711-732 (2011) - [j8]Michael A. Case, Vincent J. Ervin
A Connection Between Scott-Vogelius and Grad-Div Stabilized Taylor-Hood FE Approximations of the Navier-Stokes Equations. SIAM J. Numer. Anal. 49(4): 1461-1481 (2011) - 2010
- [j7]William J. Layton
Temporally regularized direct numerical simulation. Appl. Math. Comput. 216(12): 3728-3738 (2010) - [j6]Maxim A. Olshanskii
Velocity-vorticity-helicity formulation and a solver for the Navier-Stokes equations. J. Comput. Phys. 229(11): 4291-4303 (2010) - [j5]Abigail L. Bowers, Benjamin R. Cousins, Alexander Linke, Leo G. Rebholz:
New connections between finite element formulations of the Navier-Stokes equations. J. Comput. Phys. 229(24): 9020-9025 (2010)
2000 – 2009
- 2009
- [j4]Leo G. Rebholz
Enhanced Physics-Based Numerical Schemes for Two Classes of Turbulence Models. Adv. Numer. Anal. 2009: 370289:1-370289:13 (2009) - [j3]William J. Layton
On the accuracy of the rotation form in simulations of the Navier-Stokes equations. J. Comput. Phys. 228(9): 3433-3447 (2009) - 2007
- [j2]Leo G. Rebholz:
An Energy- and Helicity-Conserving Finite Element Scheme for the Navier-Stokes Equations. SIAM J. Numer. Anal. 45(4): 1622-1638 (2007) - 2006
- [j1]Leo G. Rebholz:
A multiscale V-P discretization for flow problems. Appl. Math. Comput. 177(1): 24-35 (2006)
Coauthor Index
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