Computable Poincaré--Friedrichs constants for the $L^p$ de~Rham complex over convex domains and domains with shellable triangulations

Théophile Chaumont-Frelet, Martin Werner Licht, Martin Vohralík

We construct potentials for the exterior derivative, in particular, for the gradient, the curl, and the divergence operators, over domains with shellable triangulations. Notably, t…