412 citations · 980 across the 11 of their papers we have counts for
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math.DG2012★ 1 cited
On the consistency of the combinatorial codifferential
Douglas N. Arnold, Richard S. Falk, Johnny Guzmán +1
In 1976, Dodziuk and Patodi employed Whitney forms to define a combinatorial codifferential operator on cochains, and they raised the question whether it is consistent in the sense…
math.NA2012★ 3 cited
Local bounded cochain projection
Richard S. Falk, Ragnar Winther
We construct projections from the space of differential k-forms which belong to L2 and whose exterior derivative also belongs to L2, to finite dimensional subspaces of piecewise po…