M. Xiao

activity

20202022

most citedEnabling fast convergence of the iterated penalty Picard iteration with

O (1)

penalty parameter for incompressible Navier-Stokes via Anderson acceleration

5 citations · 6 across the 3 of their papers we have counts for

collaborators

3 papers

math.NA2022★ 1 cited

Superlinear convergence of Anderson accelerated Newton's method for solving stationary Navier-Stokes equations

Mengying Xiao

This paper studies the performance Newton's iteration applied with Anderson acceleration for solving the incompressible steady Navier-Stokes equations. We manifest that this method…

math.NA2021★ 5 cited

Enabling fast convergence of the iterated penalty Picard iteration with $O (1)$ penalty parameter for incompressible Navier-Stokes via Anderson acceleration

Leo G. Rebholz, Duygu Vargun, Mengying Xiao

This paper considers an enhancement of the classical iterated penalty Picard (IPP) method for the incompressible Navier-Stokes equations, where we restrict our attention to $O (1)$ …

math.NA2020

Acceleration of nonlinear solvers for natural convection problems

Sara Pollock, Leo G. Rebholz, Mengying Xiao

This paper develops an efficient and robust solution technique for the steady Boussinesq model of non-isothermal flow using Anderson acceleration applied to a Picard iteration. Aft…

Superlinear convergence of Anderson accelerated Newton's method for solving stationary Navier-Stokes equations

Enabling fast convergence of the iterated penalty Picard iteration with O(1) penalty parameter for incompressible Navier-Stokes via Anderson acceleration

Acceleration of nonlinear solvers for natural convection problems

Enabling fast convergence of the iterated penalty Picard iteration with $O (1)$ penalty parameter for incompressible Navier-Stokes via Anderson acceleration