19 citations · 68 across the 12 of their papers we have counts for
4 papers · 1 filter
A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche's method
Daniele Antonio Di Pietro, Ilaria Fontana, Kyrylo Kazymyrenko
We present an a posteriori error estimate based on equilibrated stress reconstructions for the finite element approximation of a unilateral contact problem with weak enforcement of…
A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour
Daniel Castanon Quiroz, Daniele Antonio Di Pietro, André Harnist
In this work, we design and analyze a Hybrid High-Order (HHO) discretization method for incompressible flows of non-Newtonian fluids with power-like convective behaviour. We work u…
An arbitrary-order discrete de Rham complex on polyhedral meshes. Part II: Consistency
Daniele Antonio Di Pietro, Jérôme Droniou
In this paper we prove a complete panel of consistency results for the discrete de Rham (DDR) complex introduced in the companion paper [D. A. Di Pietro and J. Droniou, An arbitrar…
An arbitrary-order discrete de Rham complex on polyhedral meshes: Exactness, Poincaré inequalities, and consistency
Daniele Antonio Di Pietro, Jérôme Droniou
In this paper we present a novel arbitrary-order discrete de Rham (DDR) complex on general polyhedral meshes based on the decomposition of polynomial spaces into ranges of vector c…