| A proof that Anderson acceleration improves the convergence rate in linearly converging fixed-point methods (but not in those converging quadratically) C Evans, S Pollock, LG Rebholz, M Xiao SIAM Journal on Numerical Analysis 58 (1), 788-810, 2020 | 113 | 2020 |
| Anderson-accelerated convergence of Picard iterations for incompressible Navier--Stokes equations S Pollock, LG Rebholz, M Xiao SIAM Journal on Numerical Analysis 57 (2), 615-637, 2019 | 56 | 2019 |
| Improved accuracy in algebraic splitting methods for Navier--Stokes equations LG Rebholz, M Xiao SIAM Journal on Scientific Computing 39 (4), A1489-A1513, 2017 | 21 | 2017 |
| On reducing the splitting error in Yosida methods for the Navier–Stokes equations with grad-div stabilization LG Rebholz, M Xiao Computer Methods in Applied Mechanics and Engineering 294, 259-277, 2015 | 16 | 2015 |
| Penalty-projection schemes for the Cahn-Hilliard Navier-Stokes diffuse interface model of two phase flow, and their connection to divergence-free coupled schemes L Rebholz, SM Wise, M Xiao Int. J. Numer. Anal. Model 15 (4-5), 649-676, 2018 | 12 | 2018 |
| Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations L Rebholz, A Viguerie, M Xiao Mathematics of Computation 88 (318), 1533-1557, 2019 | 11 | 2019 |
| Enabling convergence of the iterated penalty Picard iteration with O (1) penalty parameter for incompressible Navier–Stokes via Anderson acceleration LG Rebholz, D Vargun, M Xiao Computer Methods in Applied Mechanics and Engineering 387, 114178, 2021 | 9 | 2021 |
| Acceleration of nonlinear solvers for natural convection problems S Pollock, LG Rebholz, M Xiao Journal of Numerical Mathematics 29 (4), 323-341, 2021 | 8 | 2021 |
| The effect of Anderson acceleration on superlinear and sublinear convergence LG Rebholz, M Xiao Journal of Scientific Computing 96 (2), 34, 2023 | 7 | 2023 |
| Flux-preserving enforcement of inhomogeneous Dirichlet boundary conditions for strongly divergence-free mixed finite element methods for flow problems T Heister, LG Rebholz, M Xiao Journal of Mathematical Analysis and Applications 438 (1), 507-513, 2016 | 6 | 2016 |
| Superlinear convergence of Anderson accelerated Newton's method for solving stationary Navier–Stokes equations M Xiao Numerical Methods for Partial Differential Equations 39 (4), 3089-3107, 2023 | 5 | 2023 |
| High order algebraic splitting for magnetohydrodynamics simulation M Akbas, M Mohebujjaman, LG Rebholz, M Xiao Journal of Computational and Applied Mathematics 321, 128-142, 2017 | 3 | 2017 |
| Effective Chorin–Temam algebraic splitting schemes for the steady Navier–stokes equations A Viguerie, M Xiao Numerical Methods for Partial Differential Equations 35 (2), 805-829, 2019 | 2 | 2019 |
| Efficient and effective algebraic splitting‐based solvers for nonlinear saddle point problems J Liu, LG Rebholz, M Xiao Mathematical Methods in the Applied Sciences 47 (1), 451-474, 2024 | 1 | 2024 |
| AN EFFICIENT NONLINEAR SOLVER FOR STEADY MHD BASED ON ALGEBRAIC SPLITTING. M Xiao International Journal of Numerical Analysis & Modeling 18 (5), 2021 | 1 | 2021 |
| Analysis of Algebraic Chorin Temam splitting for incompressible NSE and comparison to Yosida methods LG Rebholz, A Viguerie, M Xiao Journal of Computational and Applied Mathematics 365, 112366, 2020 | 1 | 2020 |
| A Penalty-projection based Efficient and Accurate Stochastic Collocation Method for Magnetohydrodynamic Flows M Mohebujjaman, J Miranda, MAA Mahbub, M Xiao arXiv preprint arXiv:2310.17779, 2023 | | 2023 |
| Efficient and Accurate Splitting Methods for Flow Problems M Xiao Clemson University, 2018 | | 2018 |
| New developments in theory for Anderson acceleration LG Rebholz, M Xiao, S Pollock 2023 Spring Southeastern Sectional Meeting, 0 | | |
Leo RebholzDean's Distinguished Professor of Mathematical Sciences, Clemson UniversityBestätigte E-Mail-Adresse bei clemson.edu
