Leo G. Rebholz
Orcid: 0000-0002-5173-5731
According to our database1,
Leo G. Rebholz
authored at least 64 papers
between 2006 and 2024.
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Bibliography
2024
Analysis of the Picard-Newton iteration for the Navier-Stokes equations: global stability and quadratic convergence.
CoRR, 2024
Analysis of an Adaptive Safeguarded Newton-Anderson Algorithm with Applications to Fluid Problems.
CoRR, 2024
2023
J. Sci. Comput., August, 2023
Appl. Math. Lett., July, 2023
Improved convergence of the Arrow-Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson acceleration.
J. Comput. Appl. Math., 2023
Local conservation laws of continuous Galerkin method for the incompressible Navier-Stokes equations in EMAC form.
CoRR, 2023
Removing splitting/modeling error in projection/penalty methods for Navier-Stokes simulations with continuous data assimilation.
CoRR, 2023
2022
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., 2022
Improved long time accuracy for projection methods for Navier-Stokes equations using EMAC formulation.
CoRR, 2022
An efficient algorithm for parameterized magnetohydrodynamic flow ensembles simulation.
Comput. Math. Appl., 2022
Continuous data assimilation and long-time accuracy in a C0 interior penalty method for the Cahn-Hilliard equation.
Appl. Math. Comput., 2022
2021
J. Num. Math., 2021
Full and Reduced Order Model Consistency of the Nonlinearity Discretization in Incompressible Flows.
CoRR, 2021
An efficient nonlinear solver and convergence analysis for a viscoplastic flow model.
CoRR, 2021
CoRR, 2021
Continuous data assimilation and long-time accuracy in a C<sup>0</sup> interior penalty method for the Cahn-Hilliard equation.
CoRR, 2021
Enabling fast convergence of the iterated penalty Picard iteration with $O(1)$ penalty parameter for incompressible Navier-Stokes via Anderson acceleration.
CoRR, 2021
Appl. Math. Comput., 2021
2020
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., 2020
Analysis of Algebraic Chorin Temam splitting for incompressible NSE and comparison to Yosida methods.
J. Comput. Appl. Math., 2020
Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations.
CoRR, 2020
Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation.
CoRR, 2020
2019
Anderson-Accelerated Convergence of Picard Iterations for Incompressible Navier-Stokes Equations.
SIAM J. Numer. Anal., 2019
Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations.
Math. Comput., 2019
J. Num. Math., 2019
Pressure-induced locking in mixed methods for time-dependent (Navier-)Stokes equations.
J. Comput. Phys., 2019
2018
SIAM J. Sci. Comput., 2018
2017
SIAM J. Sci. Comput., 2017
On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows.
SIAM Rev., 2017
Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations.
Numerische Mathematik, 2017
Decoupled, Unconditionally Stable, Higher Order Discretizations for MHD Flow Simulation.
J. Sci. Comput., 2017
A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations.
J. Num. Math., 2017
J. Comput. Phys., 2017
J. Comput. Phys., 2017
J. Comput. Appl. Math., 2017
Comput. Methods Appl. Math., 2017
2016
Sensitivity analysis of the grad-div stabilization parameter in finite element simulations of incompressible flow.
J. Num. Math., 2016
Well-posedness and a numerical study of a regularization model with adaptive nonlinear filtering for incompressible fluid flow.
Comput. Math. Appl., 2016
2015
An Explicitly Decoupled Variational Multiscale Method for Incompressible, Non-Isothermal Flows.
Comput. Methods Appl. Math., 2015
A note on the importance of mass conservation in long-time stability of Navier-Stokes simulations using finite elements.
Appl. Math. Lett., 2015
Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015
2014
Efficient, Unconditionally Stable, and Optimally Accurate FE Algorithms for Approximate Deconvolution Models.
SIAM J. Numer. Anal., 2014
On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions.
Appl. Math. Comput., 2014
Adv. Comput. Math., 2014
2013
A subgrid stabilization finite element method for incompressible magnetohydrodynamics.
Int. J. Comput. Math., 2013
Preconditioning sparse grad-div/augmented Lagrangian stabilized saddle point systems.
Comput. Vis. Sci., 2013
A mathematical and numerical study of a filtering-based multiscale fluid model with nonlinear eddy viscosity.
Comput. Math. Appl., 2013
2012
Numerical approximation of the Voigt regularization for incompressible Navier-Stokes and magnetohydrodynamic flows.
Comput. Math. Appl., 2012
2011
On Error Analysis for the 3D Navier-Stokes Equations in Velocity-Vorticity-Helicity Form.
SIAM J. Numer. Anal., 2011
A Connection Between Scott-Vogelius and Grad-Div Stabilized Taylor-Hood FE Approximations of the Navier-Stokes Equations.
SIAM J. Numer. Anal., 2011
Small-scale divergence penalization for incompressible flow problems via time relaxation.
Int. J. Comput. Math., 2011
On an Efficient Finite Element Method for Navier-Stokes-ω with Strong Mass Conservation.
Comput. Methods Appl. Math., 2011
Enforcing energy, helicity and strong mass conservation in finite element computations for incompressible Navier-Stokes simulations.
Appl. Math. Comput., 2011
2010
Velocity-vorticity-helicity formulation and a solver for the Navier-Stokes equations.
J. Comput. Phys., 2010
J. Comput. Phys., 2010
2009
J. Comput. Phys., 2009
Adv. Numer. Anal., 2009
2007
An Energy- and Helicity-Conserving Finite Element Scheme for the Navier-Stokes Equations.
SIAM J. Numer. Anal., 2007
2006