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math.NA2021★ 1 cited
Symmetric bases for finite element exterior calculus spaces
Yakov Berchenko-Kogan
In 2006, Arnold, Falk, and Winther developed finite element exterior calculus, using the language of differential forms to generalize the Lagrange, Raviart--Thomas, Brezzi--Douglas…
math.NA2021★ 11 cited
Finite element approximation of the Levi-Civita connection and its curvature in two dimensions
Yakov Berchenko-Kogan, Evan S. Gawlik
We construct finite element approximations of the Levi-Civita connection and its curvature on triangulations of oriented two-dimensional manifolds. Our construction relies on the R…