An arbitrary-order discrete de Rham complex on polyhedral meshes. Part II: Consistency
In this paper we prove a complete panel of consistency results for the discrete de Rham (DDR) complex introduced in the companion paper https://hal.archives-ouvertes.fr/hal-03103526, including primal and adjoint consistency for the discrete vector calculus operators, and consistency of the corresponding potentials. The theoretical results are showcased by performing a full convergence analysis for a DDR approximation of a magnetostatics model. Numerical results on three-dimensional polyhedral meshes complete the exposition.
Domaines
Analyse numérique [math.NA]
Origine : Fichiers produits par l'(les) auteur(s)