Leo Rebholz

Leo Rebholz

Clemson University

H-index: 34

North America-United States

About Leo Rebholz

Leo Rebholz, With an exceptional h-index of 34 and a recent h-index of 25 (since 2020), a distinguished researcher at Clemson University, specializes in the field of Numerical PDE, Computational Mathematics, Navier-Stokes.

His recent articles reflect a diverse array of research interests and contributions to the field:

Continuous data assimilation of a discretized barotropic vorticity model of geophysical flow

Analysis of the Picard-Newton iteration for the Navier-Stokes equations: global stability and quadratic convergence

Analysis of an Adaptive Safeguarded Newton-Anderson Algorithm with Applications to Fluid Problems

Efficient and effective algebraic splitting‐based solvers for nonlinear saddle point problems

Enhancing nonlinear solvers for the Navier-Stokes equations with continuous (noisy) data assimilation

Local conservation laws of continuous Galerkin method for the incompressible Navier–Stokes equations in EMAC form

Scientific Computing: For Scientists and Engineers

Accelerating and Enabling Convergence of Nonlinear Solvers for Navier-Stokes Equations by Continuous Data Assimilation

Leo Rebholz Information

University

Position

Professor of Mathematical Sciences

Citations(all)

4023

Citations(since 2020)

2363

Cited By

2588

hIndex(all)

34

hIndex(since 2020)

25

i10Index(all)

84

i10Index(since 2020)

56

Email

University Profile Page

Google Scholar

Leo Rebholz Skills & Research Interests

Numerical PDE

Computational Mathematics

Navier-Stokes

Top articles of Leo Rebholz

Title

Journal

Author(s)

Publication Date

Continuous data assimilation of a discretized barotropic vorticity model of geophysical flow

Computers & Mathematics with Applications

Mine Akbas

Amanda E Diegel

Leo G Rebholz

2024/4/15

Analysis of the Picard-Newton iteration for the Navier-Stokes equations: global stability and quadratic convergence

arXiv preprint arXiv:2402.12304

Sara Pollock

Leo Rebholz

Xuemin Tu

Menyging Xiao

2024/2/19

Analysis of an Adaptive Safeguarded Newton-Anderson Algorithm with Applications to Fluid Problems

arXiv preprint arXiv:2402.09295

Matt Dallas

Sara Pollock

Leo Rebholz

2024/2/14

Efficient and effective algebraic splitting‐based solvers for nonlinear saddle point problems

Mathematical Methods in the Applied Sciences

Jia Liu

Leo G Rebholz

Mengying Xiao

2024/1/15

Enhancing nonlinear solvers for the Navier-Stokes equations with continuous (noisy) data assimilation

arXiv preprint arXiv:2401.06749

Bosco Garcia-Archilla

Xuejian Li

Julia Novo

Leo Rebholz

2024/1/12

Local conservation laws of continuous Galerkin method for the incompressible Navier–Stokes equations in EMAC form

Computer Methods in Applied Mechanics and Engineering

Maxim A Olshanskii

Leo G Rebholz

2024/1/5

Scientific Computing: For Scientists and Engineers

Timo Heister

Leo G Rebholz

2023/4/3

Accelerating and Enabling Convergence of Nonlinear Solvers for Navier-Stokes Equations by Continuous Data Assimilation

Duygu Vargun

2023/12/14

Improved convergence of the Arrow–Hurwicz iteration for the Navier–Stokes equation via grad–div stabilization and Anderson acceleration

Journal of Computational and Applied Mathematics

Pelin G Geredeli

Leo G Rebholz

Duygu Vargun

Ahmed Zytoon

2023/4/1

Anderson acceleration for a regularized Bingham model

Numerical Methods for Partial Differential Equations

Sara Pollock

Leo G Rebholz

Duygu Vargun

2023/9

Removing splitting/modeling error in projection/penalty methods for Navier-Stokes simulations with continuous data assimilation

arXiv preprint arXiv:2302.05962

Elizabeth Hawkins

Leo G Rebholz

Duygu Vargun

2023/2/12

Filtering for Anderson acceleration

SIAM Journal on Scientific Computing

Sara Pollock

Leo G Rebholz

2023/8/31

journal of nuMEriCal MathEMatiCs

Susanne Brenner

Baton Rouge

2018

The effect of Anderson acceleration on superlinear and sublinear convergence

Journal of Scientific Computing

Leo G Rebholz

Mengying Xiao

2023/8

Long-time H1-stability of BDF2 time stepping for 2D Navier–Stokes equations

Applied Mathematics Letters

L Rebholz

Florentina Tone

2023/7/1

Continuous data assimilation and long-time accuracy in a C0 interior penalty method for the Cahn-Hilliard equation

Applied Mathematics and Computation

Amanda E Diegel

Leo G Rebholz

2022/7/1

Improved long time accuracy for projection methods for Navier-Stokes equations using EMAC formulation

arXiv preprint arXiv:2205.05160

Sean Ingimarson

Monika Neda

Leo Rebholz

Jorge Reyes

An Vu

2022/5/10

An efficient algorithm for parameterized magnetohydrodynamic flow ensembles simulation

Computers & Mathematics with Applications

Muhammad Mohebujjaman

Hongwei Wang

Leo G Rebholz

Md Abdullah Al Mahbub

2022/4/15

A mass-, kinetic energy-and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations, part I: Periodic domains

Journal of Computational Physics

Yi Zhang

Artur Palha

Marc Gerritsma

Leo G Rebholz

2022/2/15

Full and reduced order model consistency of the nonlinearity discretization in incompressible flows

Computer Methods in Applied Mechanics and Engineering

Sean Ingimarson

Leo G Rebholz

Traian Iliescu

2022/11/1

See List of Professors in Leo Rebholz University(Clemson University)

Co-Authors

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