6 citations · 14 across the 10 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★ 6 cited
Convergence Analysis of the Lowest Order Weakly Penalized Adaptive Discontinuous Galerkin Methods
Thirupathi Gudi, Johnny Guzmán
In this article, we prove convergence of the weakly penalized adaptive discontinuous Galerkin methods. Unlike other works, we derive the contraction property for various discontinu…