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math.NA2024
A interior penalty method for the stream function formulation of the surface Stokes problem
Michael Neilan, Hongzhi Wan
We propose a interior penalty method for the fourth-order stream function formulation of the surface Stokes problem. The scheme utilizes continuous, piecewise polynomial spac…
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…