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2020 – today
- 2024
[j9]Muhammad Mohebujjaman
, Julián D. Miranda, Md. Abdullah Al Mahbub, Mengying Xiao:
An Efficient and Accurate Penalty-projection Eddy Viscosity Algorithm for Stochastic Magnetohydrodynamic Flow Problems. J. Sci. Comput. 101(1): 2 (2024)- [i5]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) - 2023
- [j8]Leo G. Rebholz, Mengying Xiao:
The Effect of Anderson Acceleration on Superlinear and Sublinear Convergence. J. Sci. Comput. 96(2): 34 (2023) - [i4]Muhammad Mohebujjaman, Julián D. Miranda, Md. Abdullah Al Mahbub, Mengying Xiao:
A Penalty-projection based Efficient and Accurate Stochastic Collocation Method for Magnetohydrodynamic Flows. CoRR abs/2310.17779 (2023) - 2022
- [i3]Mengying Xiao:
Superlinear convergence of Anderson accelerated Newton's method for solving stationary Navier-Stokes equations. CoRR abs/2202.06700 (2022) - 2021
- [j7]Sara N. Pollock, Leo G. Rebholz, Mengying Xiao:
Acceleration of nonlinear solvers for natural convection problems. J. Num. Math. 29(4): 323-341 (2021) - [i2]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) - 2020
- [j6]Leo G. Rebholz, Alex Viguerie, Mengying Xiao:
Analysis of Algebraic Chorin Temam splitting for incompressible NSE and comparison to Yosida methods. J. Comput. Appl. Math. 365 (2020) - [j5]Claire Evans, Sara N. Pollock, Leo G. Rebholz, Mengying Xiao:
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) - [i1]Sara N. Pollock, Leo G. Rebholz, Mengying Xiao:
Acceleration of nonlinear solvers for natural convection problems. CoRR abs/2004.06471 (2020)
2010 – 2019
- 2019
- [j4]Leo G. Rebholz, Alex Viguerie, Mengying Xiao:
Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations. Math. Comput. 88(318): 1533-1557 (2019) - [j3]Sara N. Pollock, Leo G. Rebholz, Mengying Xiao:
Anderson-Accelerated Convergence of Picard Iterations for Incompressible Navier-Stokes Equations. SIAM J. Numer. Anal. 57(2): 615-637 (2019) - 2017
- [j2]Mine Akbas, Muhammad Mohebujjaman, Leo G. Rebholz, Mengying Xiao:
High order algebraic splitting for magnetohydrodynamics simulation. J. Comput. Appl. Math. 321: 128-142 (2017) - [j1]Leo G. Rebholz, Mengying Xiao:
Improved Accuracy in Algebraic Splitting Methods for Navier-Stokes Equations. SIAM J. Sci. Comput. 39(4) (2017)
Coauthor Index
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