3 papers
math.NA2026
Properties of Nonlinear GMRES Applied to the Preconditioned Richardson Iteration
Yunhui He
In this work, we propose new variants of Anderson acceleration and nonlinear GMRES for general fixed-point iterations, based on modified least-squares problems associated with the…
math.NA2025
An Augmented Lagrangian Preconditioner for Navier--Stokes Equations with Runge--Kutta in Time
Santolo Leveque, Yunhui He, Maxim Olshanskii
We consider a Runge--Kutta method for the numerical time integration of the nonstationary incompressible Navier--Stokes equations. This yields a sequence of nonlinear problems to b…
math.NA2024
A preconditioner for the grad-div stabilized equal-order finite elements discretizations of the Oseen problem
Yunhui He, Maxim Olshanskii
The paper considers grad-div stabilized equal-order finite elements (FE) methods for the linearized Navier-Stokes equations. A block triangular preconditioner for the resulting sys…