From the 1 of 12 linked papers with an AI index.
12 papers
NGMRES convergence analysis and proof of acceleration for contractive and noncontractive iterations
Y. He, L. Rebholz, M. Xiao
The paper provides the first theoretical convergence analysis of nonlinear GMRES (NGMRES) for both contractive and noncontractive fixed‑point iterations, identifying the ratio‑gain…
A modified Anderson acceleration with sharp linear convergence rate predictions and application to incompressible flows
Yunhui He, Leo Rebholz
In this work, we extend a modified Anderson acceleration proposed in [Y. He, arXiv:2603.25983, 2026] to accelerate the Picard iteration for the Navier-Stokes equations. In this var…
Convergence analysis and proof of acceleration for NGMRES applied to the Picard iteration for Navier-Stokes equations
Yunhui He, Leo G Rebholz
We consider nonlinear GMRES (NGMRES) as an acceleration technique for the Navier-Stokes Picard iteration, a direction that has not previously been explored. We identify the optimal…
Convergence Properties of Nonlinear GMRES Applied to Linear Systems
Chen Greif, Yunhui He
The Nonlinear GMRES (NGMRES) proposed by Washio and Oosterlee [Electron. Trans. Numer. Anal, 6(271-290), 1997] is an acceleration method for fixed point iterations. It has been dem…
A Generalized Alternating Anderson Acceleration Method
Yunhui He, Santolo Leveque
In this work, we propose a generalized alternating Anderson acceleration method, a periodic scheme composed of fixed-point iteration steps, interleaved with steps of Anders…
Implicit-Explicit Scheme with Multiscale Vanka Two-Grid Solver for Heterogeneous Unsaturated Poroelasticity
Maria Vasilyeva, Ben S. Southworth, Yunhui He +1
We consider a coupled nonlinear system of equations that describe unsaturated flow in heterogeneous poroelastic media. For the numerical solution, we use a finite element approxima…