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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…
math.NA2026
Divergence-free unfitted finite element discretisations for the Darcy problem
Santiago Badia, Anne Boschman, Alberto F. Martín +3
We develop an unfitted compatible finite element discretisation for the Darcy problem based on -conforming flux spaces and discontinuous pressure spaces. The metho…