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math.NA2022
A Note on the Shape Regularity of Worsey-Farin Splits
Sining Gong, Johnny Guzmán, Michael Neilan
We prove three-dimensional Worsey-Farin refinements inherit their parent triangulations' shape-regularity.
math.NA2022
Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D
Daniele Boffi, Sining Gong, Johnny Guzmán +1
We prove convergence of the Maxwell eigenvalue problem using quadratic or higher Lagrange finite elements on Worsey-Farin splits in three dimensions. To do this, we construct two F…