67 citations · 88 across the 20 of their papers we have counts for
3 papers · 1 filter
Online basis construction for goal-oriented adaptivity in the Generalized Multiscale Finite Element Method
Eric T. Chung, Sara Pollock, Sai-Mang Pun
In this research, we develop an online enrichment framework for goal-oriented adaptivity within the generalized multiscale finite element method for flow problems in heterogeneous…
Anderson-accelerated convergence of Picard iterations for incompressible Navier-Stokes equations
Sara Pollock, Leo G. Rebholz, Mengying Xiao
We propose, analyze and test Anderson-accelerated Picard iterations for solving the incompressible Navier-Stokes equations (NSE). Anderson acceleration has recently gained interest…
A proof that Anderson acceleration improves the convergence rate in linearly converging fixed point methods (but not in those converging quadratically)
Claire Evans, Sara Pollock, Leo G. Rebholz +1
This paper provides the first proof that Anderson acceleration (AA) improves the convergence rate of general fixed point iterations. AA has been used for decades to speed up nonlin…