The Scott-Vogelius finite elements revisited

2017/04/28 by Guzman, Johnny, Scott, Ridgway · 2 citations
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1705.00020

Abstract

We prove that the Scott-Vogelius finite elements are inf-sup stable on shape-regular meshes for piecewise quartic velocity fields and higher (k ≥ 4).

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• A local Fortin projection for the Scott-Vogelius elements on general meshes
• Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions

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