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 ${\mathbb{R}}^3$, the cohomology spaces of the discrete de Rham complex of [Di Pietro and Droniou, An arbitrary-order d…