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math.NA2026
Uniform discrete Poincaré inequalities for Hybrid High-Order differential forms on polyhedral meshes
Silvano Pitassi
We introduce a Hybrid High-Order framework for differential forms on general polyhedral meshes and characterise stability-admissible face spaces in terms of the traces of the polyn…
math.FA2026
Uniformly Bounded Cochain Extensions and Uniform Poincaré Inequalities
Erik Nilsson, Silvano Pitassi
In this paper, we construct a novel global bounded cochain extension operator for differential forms on Lipschitz domains. Building upon the classical universal extension of Hiptma…