Leo G. Rebholz

80 papers Journal 79Unranked 1

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Anderson acceleration of a Picard solver for the Oldroyd-B model of viscoelastic fluids. Adv. Comput. Math. Duygu Vargun, Igor O. Monteiro, Leo G. Rebholz
2026	J	`jnl`	Continuous-data-assimilation-enabled fast and robust convergence of an Uzawa-based solver for Navier-Stokes equations with large Reynolds number. CoRR Victoria L. Fisher, Jessica C. Franklin, Leo G. Rebholz
2025	J	`jnl`	An efficient splitting iteration for a CDA-accelerated solver for incompressible flow problems. CoRR Victoria L. Fisher, Leo G. Rebholz, Duygu Vargun
2025	J	`jnl`	Analysis of continuous data assimilation with large (or even infinite) nudging parameters. J. Comput. Appl. Math. Amanda E. Diegel, Xuejian Li, Leo G. Rebholz
2025	J	`jnl`	Analysis of the Picard-Newton Iteration for the Navier-Stokes Equations: Global Stability and Quadratic Convergence. J. Sci. Comput. Sara Pollock, Leo G. Rebholz, Xuemin Tu, Mengying Xiao
2025	J	`jnl`	Anderson acceleration of a Picard solver for the Oldroyd-B model of viscoelastic fluids. CoRR Duygu Vargun, Igor O. Monteiro, Leo G. Rebholz
2025	J	`jnl`	Approximating a branch of solutions to the Navier-Stokes equations by reduced-order modeling. J. Comput. Phys. Maxim A. Olshanskii, Leo G. Rebholz
2025	J	`jnl`	Benchmark stress tests for flow past a cylinder at higher Reynolds numbers using EMAC. CoRR Henry von Wahl, Leo G. Rebholz, L. Ridgway Scott
2025	J	`jnl`	On the choice of optimization norm for Anderson acceleration of the Picard iteration for Navier-Stokes equations. CoRR Elizabeth Hawkins, Leo G. Rebholz
2024	J	`jnl`	Analysis of an Adaptive Safeguarded Newton-Anderson Algorithm with Applications to Fluid Problems. CoRR Matt Dallas, Sara Pollock, Leo G. Rebholz
2024	J	`jnl`	Analysis of continuous data assimilation with large (or even infinite) nudging parameters. CoRR Amanda E. Diegel, Xuejian Li, Leo G. Rebholz
2024	J	`jnl`	Analysis of the Picard-Newton iteration for the Navier-Stokes equations: global stability and quadratic convergence. CoRR Sara Pollock, Leo G. Rebholz, Xuemin Tu, Mengying Xiao
2024	J	`jnl`	Continuous data assimilation of a discretized barotropic vorticity model of geophysical flow. Comput. Math. Appl. Mine Akbas, Amanda E. Diegel, Leo G. Rebholz
2024	J	`jnl`	Enhancing nonlinear solvers for the Navier-Stokes equations with continuous (noisy) data assimilation. CoRR Bosco García-Archilla, Xuejian Li, Julia Novo, Leo G. Rebholz
2023	J	`jnl`	Filtering for Anderson Acceleration. SIAM J. Sci. Comput. Sara N. Pollock, Leo G. Rebholz
2023	J	`jnl`	Improved convergence of the Arrow-Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson acceleration. J. Comput. Appl. Math. Pelin G. Geredeli, Leo G. Rebholz, Duygu Vargun, Ahmed Zytoon
2023	J	`jnl`	Local conservation laws of continuous Galerkin method for the incompressible Navier-Stokes equations in EMAC form. CoRR Maxim A. Olshanskii, Leo G. Rebholz
2023	J	`jnl`	Long-time H1-stability of BDF2 time stepping for 2D Navier-Stokes equations. Appl. Math. Lett. Leo G. Rebholz, Florentina Tone
2023	J	`jnl`	Removing splitting/modeling error in projection/penalty methods for Navier-Stokes simulations with continuous data assimilation. CoRR Elizabeth Hawkins, Leo G. Rebholz, Duygu Vargun
2023	J	`jnl`	The Effect of Anderson Acceleration on Superlinear and Sublinear Convergence. J. Sci. Comput. Leo G. Rebholz, Mengying Xiao
2022	J	`jnl`	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. Yi Zhang, Artur Palha, Marc Gerritsma, Leo G. Rebholz
2022	J	`jnl`	An efficient algorithm for parameterized magnetohydrodynamic flow ensembles simulation. Comput. Math. Appl. Muhammad Mohebujjaman, Hongwei Wang, Leo G. Rebholz, Md. Abdullah Al Mahbub
2022	J	`jnl`	Continuous data assimilation and long-time accuracy in a C0 interior penalty method for the Cahn-Hilliard equation. Appl. Math. Comput. Amanda E. Diegel, Leo G. Rebholz
2022	J	`jnl`	Filtering for Anderson acceleration. CoRR Sara N. Pollock, Leo G. Rebholz
2022	J	`jnl`	Improved convergence of the Arrow-Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson acceleration. CoRR Pelin G. Geredeli, Leo G. Rebholz, Duygu Vargun, Ahmed Zytoon
2022	J	`jnl`	Improved long time accuracy for projection methods for Navier-Stokes equations using EMAC formulation. CoRR Sean Ingimarson, Monika Neda, Leo G. Rebholz, Jorge Reyes, An Vu
2021	J	`jnl`	A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations, part I: Periodic domains. CoRR Yi Zhang, Artur Palha, Marc Gerritsma, Leo G. Rebholz
2021	J	`jnl`	Acceleration of nonlinear solvers for natural convection problems. J. Num. Math. Sara N. Pollock, Leo G. Rebholz, Mengying Xiao
2021	J	`jnl`	An efficient algorithm for simulating ensembles of parameterized MHD flow problems. CoRR Muhammad Mohebujjaman, Hongwei Wang, Leo G. Rebholz, Md. Abdullah Al Mahbub
2021	J	`jnl`	An efficient nonlinear solver and convergence analysis for a viscoplastic flow model. CoRR Sara N. Pollock, Leo G. Rebholz, Duygu Vargun
2021	J	`jnl`	Continuous data assimilation and long-time accuracy in a C CoRR Amanda E. Diegel, Leo G. Rebholz
2021	J	`jnl`	Enabling fast convergence of the iterated penalty Picard iteration with $O(1)$ penalty parameter for incompressible Navier-Stokes via Anderson acceleration. CoRR Leo G. Rebholz, Duygu Vargun, Mengying Xiao
2021	J	`jnl`	Full and Reduced Order Model Consistency of the Nonlinearity Discretization in Incompressible Flows. CoRR Sean Ingimarson, Leo G. Rebholz, Traian Iliescu
2021	J	`jnl`	Modular grad-div stabilization for the incompressible non-isothermal fluid flows. Appl. Math. Comput. Mine Akbas, Leo G. Rebholz
2020	J	`jnl`	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. Claire Evans, Sara N. Pollock, Leo G. Rebholz, Mengying Xiao
2020	J	`jnl`	Acceleration of nonlinear solvers for natural convection problems. CoRR Sara N. Pollock, Leo G. Rebholz, Mengying Xiao
2020	J	`jnl`	Analysis of Algebraic Chorin Temam splitting for incompressible NSE and comparison to Yosida methods. J. Comput. Appl. Math. Leo G. Rebholz, Alex Viguerie, Mengying Xiao
2020	J	`jnl`	Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations. CoRR Matthew Gardner, Adam Larios, Leo G. Rebholz, Duygu Vargun, Camille Zerfas
2020	J	`jnl`	Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation. CoRR Maxim A. Olshanskii, Leo G. Rebholz
2020	J	`jnl`	Modular grad-div stabilization for multiphysics flow problems. CoRR Mine Akbas, Leo G. Rebholz
2019	J	`jnl`	Anderson acceleration for contractive and noncontractive operators. CoRR Sara N. Pollock, Leo G. Rebholz
2019	J	`jnl`	Anderson-Accelerated Convergence of Picard Iterations for Incompressible Navier-Stokes Equations. SIAM J. Numer. Anal. Sara N. Pollock, Leo G. Rebholz, Mengying Xiao
2019	J	`jnl`	Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations. Math. Comput. Leo G. Rebholz, Alex Viguerie, Mengying Xiao
2019	J	`jnl`	POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. J. Num. Math. Fatma G. Eroglu, Songul Kaya, Leo G. Rebholz
2019	J	`jnl`	Pressure-induced locking in mixed methods for time-dependent (Navier-)Stokes equations. J. Comput. Phys. Alexander Linke, Leo G. Rebholz
2018	J	`jnl`	Data-Driven Filtered Reduced Order Modeling of Fluid Flows. SIAM J. Sci. Comput. Xuping Xie, Muhammad Mohebujjaman, Leo G. Rebholz, Traian Iliescu
2017	J	`jnl`	A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. J. Num. Math. Alexander Linke, Michael Neilan, Leo G. Rebholz, Nicholas E. Wilson
2017	J	`jnl`	An Efficient Algorithm for Computation of MHD Flow Ensembles. Comput. Methods Appl. Math. Muhammad Mohebujjaman, Leo G. Rebholz
2017	J	`jnl`	Decoupled, Unconditionally Stable, Higher Order Discretizations for MHD Flow Simulation. J. Sci. Comput. Timo Heister, Muhammad Mohebujjaman, Leo G. Rebholz
2017	J	`jnl`	Energy balance and mass conservation in reduced order models of fluid flows. J. Comput. Phys. Muhammad Mohebujjaman, Leo G. Rebholz, Xuping Xie, Traian Iliescu
2017	J	`jnl`	High order algebraic splitting for magnetohydrodynamics simulation. J. Comput. Appl. Math. Mine Akbas, Muhammad Mohebujjaman, Leo G. Rebholz, Mengying Xiao
2017	J	`jnl`	Improved Accuracy in Algebraic Splitting Methods for Navier-Stokes Equations. SIAM J. Sci. Comput. Leo G. Rebholz, Mengying Xiao
2017	J	`jnl`	On conservation laws of Navier-Stokes Galerkin discretizations. J. Comput. Phys. Sergey Charnyi, Timo Heister, Maxim A. Olshanskii, Leo G. Rebholz
2017	J	`jnl`	On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows. SIAM Rev. Volker John, Alexander Linke, Christian Merdon, Michael Neilan, Leo G. Rebholz
2017	J	`jnl`	Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations. Numerische Mathematik Timo Heister, Maxim A. Olshanskii, Leo G. Rebholz
2016	J	`jnl`	Sensitivity analysis of the grad-div stabilization parameter in finite element simulations of incompressible flow. J. Num. Math. Monika Neda, Faranak Pahlevani, Leo G. Rebholz, Jiajia Waters
2016	J	`jnl`	Well-posedness and a numerical study of a regularization model with adaptive nonlinear filtering for incompressible fluid flow. Comput. Math. Appl. Yanzhao Cao, Song Chen, Leo G. Rebholz
2015	J	`jnl`	A note on the importance of mass conservation in long-time stability of Navier-Stokes simulations using finite elements. Appl. Math. Lett. Mine Akbas Belenli, Leo G. Rebholz, Florentina Tone
2015	J	`jnl`	An Explicitly Decoupled Variational Multiscale Method for Incompressible, Non-Isothermal Flows. Comput. Methods Appl. Math. Mine Akbas Belenli, Songül Kaya, Leo G. Rebholz
2015	—	`conf`	Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method. ENUMATH Mine Akbas, Songul Kaya, Leo G. Rebholz
2014	J	`jnl`	Efficient, Unconditionally Stable, and Optimally Accurate FE Algorithms for Approximate Deconvolution Models. SIAM J. Numer. Anal. Keith J. Galvin, Leo G. Rebholz, Catalin Trenchea
2014	J	`jnl`	On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions. Appl. Math. Comput. Songül Kaya, Carolina C. Manica, Leo G. Rebholz
2014	J	`jnl`	On the parameter choice in grad-div stabilization for the Stokes equations. Adv. Comput. Math. Eleanor W. Jenkins, Volker John, Alexander Linke, Leo G. Rebholz
2013	J	`jnl`	A mathematical and numerical study of a filtering-based multiscale fluid model with nonlinear eddy viscosity. Comput. Math. Appl. Argus A. Dunca, Monika Neda, Leo G. Rebholz
2013	J	`jnl`	A subgrid stabilization finite element method for incompressible magnetohydrodynamics. Int. J. Comput. Math. Mine Akbas Belenli, Songül Kaya, Leo G. Rebholz, Nicholas E. Wilson
2013	J	`jnl`	Preconditioning sparse grad-div/augmented Lagrangian stabilized saddle point systems. Comput. Vis. Sci. Sabine Le Borne, Leo G. Rebholz
2012	J	`jnl`	A deconvolution enhancement of the Navier-Stokes-αβ model. J. Comput. Phys. Tae-Yeon Kim, Leo G. Rebholz, Eliot Fried
2012	J	`jnl`	Numerical approximation of the Voigt regularization for incompressible Navier-Stokes and magnetohydrodynamic flows. Comput. Math. Appl. Paul Kuberry, Adam Larios, Leo G. Rebholz, Nicholas E. Wilson
2011	J	`jnl`	A Connection Between Scott-Vogelius and Grad-Div Stabilized Taylor-Hood FE Approximations of the Navier-Stokes Equations. SIAM J. Numer. Anal. Michael A. Case, Vincent J. Ervin, Alexander Linke, Leo G. Rebholz
2011	J	`jnl`	Enforcing energy, helicity and strong mass conservation in finite element computations for incompressible Navier-Stokes simulations. Appl. Math. Comput. Benjamin R. Cousins, Leo G. Rebholz, Nicholas E. Wilson
2011	J	`jnl`	On Error Analysis for the 3D Navier-Stokes Equations in Velocity-Vorticity-Helicity Form. SIAM J. Numer. Anal. Hyesuk K. Lee, Maxim A. Olshanskii, Leo G. Rebholz
2011	J	`jnl`	On an Efficient Finite Element Method for Navier-Stokes-ω with Strong Mass Conservation. Comput. Methods Appl. Math. Carolina C. Manica, Monika Neda, Maxim A. Olshanskii, Leo G. Rebholz, Nicholas E. Wilson
2011	J	`jnl`	Small-scale divergence penalization for incompressible flow problems via time relaxation. Int. J. Comput. Math. Jeffrey M. Connors, Eleanor W. Jenkins, Leo G. Rebholz
2010	J	`jnl`	New connections between finite element formulations of the Navier-Stokes equations. J. Comput. Phys. Abigail L. Bowers, Benjamin R. Cousins, Alexander Linke, Leo G. Rebholz
2010	J	`jnl`	Temporally regularized direct numerical simulation. Appl. Math. Comput. William J. Layton, C. David Pruett, Leo G. Rebholz
2010	J	`jnl`	Velocity-vorticity-helicity formulation and a solver for the Navier-Stokes equations. J. Comput. Phys. Maxim A. Olshanskii, Leo G. Rebholz
2009	J	`jnl`	Enhanced Physics-Based Numerical Schemes for Two Classes of Turbulence Models. Adv. Numer. Anal. Leo G. Rebholz
2009	J	`jnl`	On the accuracy of the rotation form in simulations of the Navier-Stokes equations. J. Comput. Phys. William J. Layton, Carolina C. Manica, Monika Neda, Maxim A. Olshanskii, Leo G. Rebholz
2007	J	`jnl`	An Energy- and Helicity-Conserving Finite Element Scheme for the Navier-Stokes Equations. SIAM J. Numer. Anal. Leo G. Rebholz
2006	J	`jnl`	A multiscale V-P discretization for flow problems. Appl. Math. Comput. Leo G. Rebholz