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math.NA2026
A Unified Two-Grid Framework for Anderson Acceleration and Nonlinear GMRES
James Adler, Yunhui He, Xiaozhe Hu +1
In this work, we recast two widely used acceleration methods for fixed-point iterations, Anderson acceleration (AA) and the nonlinear generalized minimal residual method (NGMRES),…
math.NA2026
On a blended Anderson / NGMRES acceleration for the Navier-Stokes Picard iteration: convergence analysis and adaptive depth selection
Yunhui He, Leo Rebholz
Anderson acceleration (AA) and nonlinear GMRES (NGMRES) have been successfully applied to improve the efficiency and robustness of many nonlinear solvers, with each being shown to…
math.NA2026
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…