412 citations · 1.7k across the 26 of their papers we have counts for
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math.NA2007★ 249 cited
Mixed finite element methods for linear elasticity with weakly imposed symmetry
Douglas N. Arnold, Richard S. Falk, Ragnar Winther
In this paper, we construct new finite element methods for the approximation of the equations of linear elasticity in three space dimensions that produce direct approximations to b…
math.NA2007★ 212 cited
Finite elements for symmetric tensors in three dimension
Douglas N. Arnold, Gerard Awanou, Ragnar Winther
We construct finite element subspaces of the space of symmetric tensors with square-integrable divergence on a three-dimensional domain. These spaces can be used to approximate the…