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math.NA2025
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…
math.NA2025
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…