4 citations · 4 across the 5 of their papers we have counts for
5 papers
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…
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…
Conforming lifting and adjoint consistency for the Discrete de Rham complex of differential forms
Daniele A. Di Pietro, Jérôme Droniou, Silvano Pitassi
Discrete de Rham (DDR) methods provide non-conforming but compatible approximations of the continuous de Rham complex on general polytopal meshes. Owing to the non-conformity, seve…
Uniform Poincaré inequalities for the discrete de Rham complex of differential forms
Daniele Di Pietro, Jérôme Droniou, Marien-Lorenzo Hanot +1
In this paper we prove discrete Poincaré inequalities that are uniform in the mesh size for the discrete de Rham complex of differential forms developed in [Bonaldi, Di Pietro, Dro…
Cohomology of the discrete de Rham complex on domains of general topology
Daniele A. Di Pietro, Jérôme Droniou, Silvano Pitassi
In this work we prove that, for a general polyhedral domain of , the cohomology spaces of the discrete de Rham complex of [Di Pietro and Droniou, An arbitrary-order d…