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math.NA2024
General degree divergence-free finite element methods for the Stokes problem on smooth domains
Rebecca Durst, Michael Neilan
In this paper, we construct and analyze divergence-free finite element methods for the Stokes problem on smooth domains. The discrete spaces are based on the Scott-Vogelius finite…
math.NA2023
Chaotic dynamics of two-dimensional flows around a cylinder
L. Ridgway Scott, Rebecca Durst
We study flow around a cylinder from a dynamics perspective, using drag and lift as indicators. We observe that the mean drag coefficient bifurcates from the steady case when the K…