212 citations · 505 across the 22 of their papers we have counts for
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math.NA2012★ 40 cited
Nonconforming tetrahedral mixed finite elements for elasticity
Douglas N. Arnold, Gerard Awanou, Ragnar Winther
This paper presents a nonconforming finite element approximation of the space of symmetric tensors with square integrable divergence, on tetrahedral meshes. Used for stress approxi…
math.NA2012★ 63 cited
Finite element differential forms on cubical meshes
Douglas N. Arnold, Gerard Awanou
We develop a family of finite element spaces of differential forms defined on cubical meshes in any number of dimensions. The family contains elements of all polynomial degrees and…